Abstract

We study the symbolic dynamics of a stochastic excitable optical system with periodic forcing. Specifically, we consider a directly modulated semiconductor laser with optical feedback in the low frequency fluctuations (LFF) regime. We use a method of symbolic time-series analysis that allows us to uncover serial correlations in the sequence of intensity dropouts. By transforming the sequence of inter-dropout intervals into a sequence of symbolic patterns and analyzing the statistics of the patterns, we unveil correlations among several consecutive dropouts and we identify clear changes in the dynamics as the modulation amplitude increases. To confirm the robustness of the observations, the experiments were performed using two lasers under different feedback conditions. Simulations of the Lang-Kobayashi (LK) model, including spontaneous emission noise, are found to be in good agreement with the observations, providing an interpretation of the correlations present in the dropout sequence as due to the interplay of the underlying attractor topology, the external forcing, and the noise that sustains the dropout events.

© 2014 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  3. N. Rubido, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, C. Masoller, “Language organization and temporal correlations in the spiking activity of an excitable laser: experiments and model comparison,” Phys. Rev. E 84, 026202 (2011).
    [CrossRef]
  4. L. Zunino, M. C. Soriano, O. A. Rosso, “Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach,” Phys. Rev. E 86, 046210 (2012).
    [CrossRef]
  5. M. C. Soriano, L. Zunino, L. Larger, I. Fischer, C. R. Mirasso, “Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator,” Opt. Lett. 36, 2212 (2011).
    [CrossRef] [PubMed]
  6. A. Aragoneses, N. Rubido, J. Tiana-alsina, M. C. Torrent, C. Masoller, “Distinguishing signatures of determinism and stochasticity in spiking complex systems,” Sci. Rep. 3, 1778 (2013).
    [CrossRef] [PubMed]
  7. D. Lenstra, B. H. Verbeek, A. J. Den Boef, “Coherence collapse in single-mode semiconductor-lasers due to optical feedback,” IEEE J. Quantum. Electron. 21, 674–679 (1985).
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  11. M. Giudici, C. Green, G. Giacomelli, U. Nespolo, J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414 (1997).
    [CrossRef]
  12. A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83, 292 (1999).
    [CrossRef]
  13. T. Heil, I. Fischer, W. Elsäßer, A. Gavrielides, “Dynamics of semiconductor lasers subject to delayed optical feedback: the short cavity regime,” Phys. Rev. Lett. 87, 243901 (2001).
    [CrossRef] [PubMed]
  14. A. Tabaka, K. Panajotov, I. Veretennicoff, M. Sciamanna, “Bifurcation study of regular pulse packages in laser diodes subject to optical feedback,” Phys. Rev E 70, 036211 (2004).
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  15. J. A. Reinoso, J. Zamora-Munt, C. Masoller, “Extreme intensity pulses in a semiconductor laser with a short external cavity,” Phys. Rev. E 87, 062913 (2013).
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  16. S. D. Cohen, A. Aragoneses, D. Rontani, M. C. Torrent, C. Masoller, D. J. Gauthier, “Multidimensional subwavelength position sensing using a semiconductor laser with optical feedback,” Opt. Lett. 38, 4331 (2013).
    [CrossRef] [PubMed]
  17. L. Junges, T. Pöschel, J. A. C. Gallas, “Characterization of the stability of semiconductor lasers with delayed feedback according to the Lang–Kobayashi model,” Eur. Phys. J. D. 67, 149 (2013).
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  21. J. F. Martínez Avila, H. L. D. de S. Cavalcante, J. R. Rios Leite, “Experimental deterministic coherent resonance,” Phys. Rev. Lett. 93, 144101 (2004).
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  23. A. Torcini, S. Barland, G. Giacomelli, F. Marin, “Low-frequency fluctuations in vertical cavity lasers: experiments versus Lang–Kobayashi dynamics,” Phys. Rev. A 74, 063801 (2006).
    [CrossRef]
  24. J. Zamora-Munt, C. Masoller, J. Garcia-Ojalvo, “Transient low-frequency fluctuations in semiconductor lasers with optical feedback,” Phys. Rev. A 81, 033820 (2010).
    [CrossRef]
  25. K. Hicke, X. Porte, I. Fischer, “Characterizing the deterministic nature of individual power dropouts in semiconductor lasers subject to delayed feedback,” Phys. Rev. E 88, 052904 (2013).
    [CrossRef]
  26. D. Baums, W. Elsässer, E. O. Göbel, “Farey tree and Devil’s staircase of a modulated external-cavity semiconductor laser,” Phys. Rev. Lett. 63, 155 (1989).
    [CrossRef] [PubMed]
  27. J. P. Toomey, D. M. Kane, M. W. Lee, K. A. Shore, “Nonlinear dynamics of semiconductor lasers with feedback and modulation,” Opt. Express 18, 1695516972 (2010).
    [CrossRef]
  28. Y. Liu, N. Kikuchi, J. Ohtsubo, “Controlling dynamical behavior of a semiconductor laser with external optical feedback,” Phys. Rev. E 51, R2697–R2700 (1995).
    [CrossRef]
  29. D. W. Sukow, D. J. Gauthier, “Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current,” IEEE J. Quantum Electron. 36, 175 (2000).
    [CrossRef]
  30. W-S Lam, N. Parvez, R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. of Modern Phys. B 17, 4123–4138 (2003).
    [CrossRef]
  31. J. M. Mendez, R. Laje, M. Giudici, J. Aliaga, G. B. Mindlin, “Dynamics of periodically forced semiconductor laser with optical feedback,” Phys. Rev. E 63, 066218 (2001).
    [CrossRef]
  32. F. Marino, M. Giudici, S. Barland, S. Balle, “Experimental evidence of stochastic resonance in an excitable optical system,” Phys. Rev. Lett. 88, 040601 (2002).
    [CrossRef] [PubMed]
  33. J. M. Buldú, J. Garcia-Ojalvo, C. R. Mirasso, M. C. Torrent, “Stochastic entrainment of optical power dropouts,” Phys. Rev. E 66, 021106 (2002).
    [CrossRef]
  34. J. M. Buldú, D. R. Chialvo, C. R. Mirasso, M. C. Torrent, J. Garcia-Ojalvo, “Ghost resonance in a semiconductor laser with optical feedback,” Europhys. Lett. 64, 178 (2003).
    [CrossRef]
  35. T. Schwalger, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, B. Lindner, “Interspike-interval correlations induced by two-state switching in an excitable system,” Europhys. Lett. 99, 10004 (2012).
    [CrossRef]
  36. R. Lang, K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16, 347 (1980).
    [CrossRef]

2013 (6)

A. Aragoneses, N. Rubido, J. Tiana-alsina, M. C. Torrent, C. Masoller, “Distinguishing signatures of determinism and stochasticity in spiking complex systems,” Sci. Rep. 3, 1778 (2013).
[CrossRef] [PubMed]

S. Donati, R-H Horng, “The diagram of feedback regimes revisited,” IEEE J. Sel. Top. Quantum Electron. 19, 1500309 (2013).
[CrossRef]

J. A. Reinoso, J. Zamora-Munt, C. Masoller, “Extreme intensity pulses in a semiconductor laser with a short external cavity,” Phys. Rev. E 87, 062913 (2013).
[CrossRef]

L. Junges, T. Pöschel, J. A. C. Gallas, “Characterization of the stability of semiconductor lasers with delayed feedback according to the Lang–Kobayashi model,” Eur. Phys. J. D. 67, 149 (2013).
[CrossRef]

K. Hicke, X. Porte, I. Fischer, “Characterizing the deterministic nature of individual power dropouts in semiconductor lasers subject to delayed feedback,” Phys. Rev. E 88, 052904 (2013).
[CrossRef]

S. D. Cohen, A. Aragoneses, D. Rontani, M. C. Torrent, C. Masoller, D. J. Gauthier, “Multidimensional subwavelength position sensing using a semiconductor laser with optical feedback,” Opt. Lett. 38, 4331 (2013).
[CrossRef] [PubMed]

2012 (2)

T. Schwalger, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, B. Lindner, “Interspike-interval correlations induced by two-state switching in an excitable system,” Europhys. Lett. 99, 10004 (2012).
[CrossRef]

L. Zunino, M. C. Soriano, O. A. Rosso, “Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach,” Phys. Rev. E 86, 046210 (2012).
[CrossRef]

2011 (2)

N. Rubido, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, C. Masoller, “Language organization and temporal correlations in the spiking activity of an excitable laser: experiments and model comparison,” Phys. Rev. E 84, 026202 (2011).
[CrossRef]

M. C. Soriano, L. Zunino, L. Larger, I. Fischer, C. R. Mirasso, “Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator,” Opt. Lett. 36, 2212 (2011).
[CrossRef] [PubMed]

2010 (2)

J. P. Toomey, D. M. Kane, M. W. Lee, K. A. Shore, “Nonlinear dynamics of semiconductor lasers with feedback and modulation,” Opt. Express 18, 1695516972 (2010).
[CrossRef]

J. Zamora-Munt, C. Masoller, J. Garcia-Ojalvo, “Transient low-frequency fluctuations in semiconductor lasers with optical feedback,” Phys. Rev. A 81, 033820 (2010).
[CrossRef]

2007 (1)

O. A. Rosso, H. A. Larrondo, M. T. Martin, A. Plastino, M. A. Fuentes, “Distinguishing noise from chaos,” Phys. Rev. Lett. 99, 154102 (2007).
[CrossRef] [PubMed]

2006 (1)

A. Torcini, S. Barland, G. Giacomelli, F. Marin, “Low-frequency fluctuations in vertical cavity lasers: experiments versus Lang–Kobayashi dynamics,” Phys. Rev. A 74, 063801 (2006).
[CrossRef]

2005 (1)

2004 (2)

J. F. Martínez Avila, H. L. D. de S. Cavalcante, J. R. Rios Leite, “Experimental deterministic coherent resonance,” Phys. Rev. Lett. 93, 144101 (2004).
[CrossRef]

A. Tabaka, K. Panajotov, I. Veretennicoff, M. Sciamanna, “Bifurcation study of regular pulse packages in laser diodes subject to optical feedback,” Phys. Rev E 70, 036211 (2004).
[CrossRef]

2003 (3)

M. Sciamanna, C. Masoller, N. B. Abraham, F. Rogister, P. Mégret, M. Blondel, “Different regimes of low-frequency fluctuations in vertical-cavity surface-emitting lasers,” J. Opt. Soc. Am. B 20, 37 (2003).
[CrossRef]

J. M. Buldú, D. R. Chialvo, C. R. Mirasso, M. C. Torrent, J. Garcia-Ojalvo, “Ghost resonance in a semiconductor laser with optical feedback,” Europhys. Lett. 64, 178 (2003).
[CrossRef]

W-S Lam, N. Parvez, R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. of Modern Phys. B 17, 4123–4138 (2003).
[CrossRef]

2002 (3)

F. Marino, M. Giudici, S. Barland, S. Balle, “Experimental evidence of stochastic resonance in an excitable optical system,” Phys. Rev. Lett. 88, 040601 (2002).
[CrossRef] [PubMed]

J. M. Buldú, J. Garcia-Ojalvo, C. R. Mirasso, M. C. Torrent, “Stochastic entrainment of optical power dropouts,” Phys. Rev. E 66, 021106 (2002).
[CrossRef]

C. Bandt, B. Pompe, “Permutation entropy: a natural complexity measure for time series,” Phys. Rev. Lett. 88, 174102 (2002).
[CrossRef] [PubMed]

2001 (2)

T. Heil, I. Fischer, W. Elsäßer, A. Gavrielides, “Dynamics of semiconductor lasers subject to delayed optical feedback: the short cavity regime,” Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

J. M. Mendez, R. Laje, M. Giudici, J. Aliaga, G. B. Mindlin, “Dynamics of periodically forced semiconductor laser with optical feedback,” Phys. Rev. E 63, 066218 (2001).
[CrossRef]

2000 (1)

D. W. Sukow, D. J. Gauthier, “Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current,” IEEE J. Quantum Electron. 36, 175 (2000).
[CrossRef]

1999 (2)

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83, 292 (1999).
[CrossRef]

J. Mulet, C. R. Mirasso, “Numerical statistics of power dropouts based on the Lang–Kobayashi mod,” Phys. Rev. E 59, 5400 (1999).
[CrossRef]

1997 (2)

D. W. Sukow, J. R. Gardner, D. J. Gauthier, “Statistics of power-dropout events in semiconductor lasers with time-delayed optical feedback,” Phys. Rev. A. 56, R3370 (1997).
[CrossRef]

M. Giudici, C. Green, G. Giacomelli, U. Nespolo, J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414 (1997).
[CrossRef]

1995 (1)

Y. Liu, N. Kikuchi, J. Ohtsubo, “Controlling dynamical behavior of a semiconductor laser with external optical feedback,” Phys. Rev. E 51, R2697–R2700 (1995).
[CrossRef]

1989 (1)

D. Baums, W. Elsässer, E. O. Göbel, “Farey tree and Devil’s staircase of a modulated external-cavity semiconductor laser,” Phys. Rev. Lett. 63, 155 (1989).
[CrossRef] [PubMed]

1985 (1)

D. Lenstra, B. H. Verbeek, A. J. Den Boef, “Coherence collapse in single-mode semiconductor-lasers due to optical feedback,” IEEE J. Quantum. Electron. 21, 674–679 (1985).
[CrossRef]

1980 (1)

R. Lang, K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

Abraham, N. B.

Aliaga, J.

J. M. Mendez, R. Laje, M. Giudici, J. Aliaga, G. B. Mindlin, “Dynamics of periodically forced semiconductor laser with optical feedback,” Phys. Rev. E 63, 066218 (2001).
[CrossRef]

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83, 292 (1999).
[CrossRef]

Aragoneses, A.

A. Aragoneses, N. Rubido, J. Tiana-alsina, M. C. Torrent, C. Masoller, “Distinguishing signatures of determinism and stochasticity in spiking complex systems,” Sci. Rep. 3, 1778 (2013).
[CrossRef] [PubMed]

S. D. Cohen, A. Aragoneses, D. Rontani, M. C. Torrent, C. Masoller, D. J. Gauthier, “Multidimensional subwavelength position sensing using a semiconductor laser with optical feedback,” Opt. Lett. 38, 4331 (2013).
[CrossRef] [PubMed]

Balle, S.

F. Marino, M. Giudici, S. Barland, S. Balle, “Experimental evidence of stochastic resonance in an excitable optical system,” Phys. Rev. Lett. 88, 040601 (2002).
[CrossRef] [PubMed]

Bandt, C.

C. Bandt, B. Pompe, “Permutation entropy: a natural complexity measure for time series,” Phys. Rev. Lett. 88, 174102 (2002).
[CrossRef] [PubMed]

Barland, S.

A. Torcini, S. Barland, G. Giacomelli, F. Marin, “Low-frequency fluctuations in vertical cavity lasers: experiments versus Lang–Kobayashi dynamics,” Phys. Rev. A 74, 063801 (2006).
[CrossRef]

F. Marino, M. Giudici, S. Barland, S. Balle, “Experimental evidence of stochastic resonance in an excitable optical system,” Phys. Rev. Lett. 88, 040601 (2002).
[CrossRef] [PubMed]

Baums, D.

D. Baums, W. Elsässer, E. O. Göbel, “Farey tree and Devil’s staircase of a modulated external-cavity semiconductor laser,” Phys. Rev. Lett. 63, 155 (1989).
[CrossRef] [PubMed]

Blondel, M.

Buldú, J. M.

J. M. Buldú, D. R. Chialvo, C. R. Mirasso, M. C. Torrent, J. Garcia-Ojalvo, “Ghost resonance in a semiconductor laser with optical feedback,” Europhys. Lett. 64, 178 (2003).
[CrossRef]

J. M. Buldú, J. Garcia-Ojalvo, C. R. Mirasso, M. C. Torrent, “Stochastic entrainment of optical power dropouts,” Phys. Rev. E 66, 021106 (2002).
[CrossRef]

Cavalcante, H. L. D. de S.

J. F. Martínez Avila, H. L. D. de S. Cavalcante, J. R. Rios Leite, “Experimental deterministic coherent resonance,” Phys. Rev. Lett. 93, 144101 (2004).
[CrossRef]

Chialvo, D. R.

J. M. Buldú, D. R. Chialvo, C. R. Mirasso, M. C. Torrent, J. Garcia-Ojalvo, “Ghost resonance in a semiconductor laser with optical feedback,” Europhys. Lett. 64, 178 (2003).
[CrossRef]

Cohen, S. D.

Den Boef, A. J.

D. Lenstra, B. H. Verbeek, A. J. Den Boef, “Coherence collapse in single-mode semiconductor-lasers due to optical feedback,” IEEE J. Quantum. Electron. 21, 674–679 (1985).
[CrossRef]

Donati, S.

S. Donati, R-H Horng, “The diagram of feedback regimes revisited,” IEEE J. Sel. Top. Quantum Electron. 19, 1500309 (2013).
[CrossRef]

Eguia, M. C.

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83, 292 (1999).
[CrossRef]

Elsäßer, W.

T. Heil, I. Fischer, W. Elsäßer, A. Gavrielides, “Dynamics of semiconductor lasers subject to delayed optical feedback: the short cavity regime,” Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

Elsässer, W.

D. Baums, W. Elsässer, E. O. Göbel, “Farey tree and Devil’s staircase of a modulated external-cavity semiconductor laser,” Phys. Rev. Lett. 63, 155 (1989).
[CrossRef] [PubMed]

Fischer, I.

K. Hicke, X. Porte, I. Fischer, “Characterizing the deterministic nature of individual power dropouts in semiconductor lasers subject to delayed feedback,” Phys. Rev. E 88, 052904 (2013).
[CrossRef]

M. C. Soriano, L. Zunino, L. Larger, I. Fischer, C. R. Mirasso, “Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator,” Opt. Lett. 36, 2212 (2011).
[CrossRef] [PubMed]

T. Heil, I. Fischer, W. Elsäßer, A. Gavrielides, “Dynamics of semiconductor lasers subject to delayed optical feedback: the short cavity regime,” Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

Fuentes, M. A.

O. A. Rosso, H. A. Larrondo, M. T. Martin, A. Plastino, M. A. Fuentes, “Distinguishing noise from chaos,” Phys. Rev. Lett. 99, 154102 (2007).
[CrossRef] [PubMed]

Gallas, J. A. C.

L. Junges, T. Pöschel, J. A. C. Gallas, “Characterization of the stability of semiconductor lasers with delayed feedback according to the Lang–Kobayashi model,” Eur. Phys. J. D. 67, 149 (2013).
[CrossRef]

Garcia-Ojalvo, J.

T. Schwalger, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, B. Lindner, “Interspike-interval correlations induced by two-state switching in an excitable system,” Europhys. Lett. 99, 10004 (2012).
[CrossRef]

N. Rubido, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, C. Masoller, “Language organization and temporal correlations in the spiking activity of an excitable laser: experiments and model comparison,” Phys. Rev. E 84, 026202 (2011).
[CrossRef]

J. Zamora-Munt, C. Masoller, J. Garcia-Ojalvo, “Transient low-frequency fluctuations in semiconductor lasers with optical feedback,” Phys. Rev. A 81, 033820 (2010).
[CrossRef]

J. M. Buldú, D. R. Chialvo, C. R. Mirasso, M. C. Torrent, J. Garcia-Ojalvo, “Ghost resonance in a semiconductor laser with optical feedback,” Europhys. Lett. 64, 178 (2003).
[CrossRef]

J. M. Buldú, J. Garcia-Ojalvo, C. R. Mirasso, M. C. Torrent, “Stochastic entrainment of optical power dropouts,” Phys. Rev. E 66, 021106 (2002).
[CrossRef]

Gardner, J. R.

D. W. Sukow, J. R. Gardner, D. J. Gauthier, “Statistics of power-dropout events in semiconductor lasers with time-delayed optical feedback,” Phys. Rev. A. 56, R3370 (1997).
[CrossRef]

Gauthier, D. J.

S. D. Cohen, A. Aragoneses, D. Rontani, M. C. Torrent, C. Masoller, D. J. Gauthier, “Multidimensional subwavelength position sensing using a semiconductor laser with optical feedback,” Opt. Lett. 38, 4331 (2013).
[CrossRef] [PubMed]

D. W. Sukow, D. J. Gauthier, “Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current,” IEEE J. Quantum Electron. 36, 175 (2000).
[CrossRef]

D. W. Sukow, J. R. Gardner, D. J. Gauthier, “Statistics of power-dropout events in semiconductor lasers with time-delayed optical feedback,” Phys. Rev. A. 56, R3370 (1997).
[CrossRef]

Gavrielides, A.

T. Heil, I. Fischer, W. Elsäßer, A. Gavrielides, “Dynamics of semiconductor lasers subject to delayed optical feedback: the short cavity regime,” Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

Giacomelli, G.

A. Torcini, S. Barland, G. Giacomelli, F. Marin, “Low-frequency fluctuations in vertical cavity lasers: experiments versus Lang–Kobayashi dynamics,” Phys. Rev. A 74, 063801 (2006).
[CrossRef]

M. Giudici, C. Green, G. Giacomelli, U. Nespolo, J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414 (1997).
[CrossRef]

Giudici, M.

F. Marino, M. Giudici, S. Barland, S. Balle, “Experimental evidence of stochastic resonance in an excitable optical system,” Phys. Rev. Lett. 88, 040601 (2002).
[CrossRef] [PubMed]

J. M. Mendez, R. Laje, M. Giudici, J. Aliaga, G. B. Mindlin, “Dynamics of periodically forced semiconductor laser with optical feedback,” Phys. Rev. E 63, 066218 (2001).
[CrossRef]

M. Giudici, C. Green, G. Giacomelli, U. Nespolo, J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414 (1997).
[CrossRef]

Göbel, E. O.

D. Baums, W. Elsässer, E. O. Göbel, “Farey tree and Devil’s staircase of a modulated external-cavity semiconductor laser,” Phys. Rev. Lett. 63, 155 (1989).
[CrossRef] [PubMed]

Green, C.

M. Giudici, C. Green, G. Giacomelli, U. Nespolo, J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414 (1997).
[CrossRef]

Heil, T.

T. Heil, I. Fischer, W. Elsäßer, A. Gavrielides, “Dynamics of semiconductor lasers subject to delayed optical feedback: the short cavity regime,” Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

Hicke, K.

K. Hicke, X. Porte, I. Fischer, “Characterizing the deterministic nature of individual power dropouts in semiconductor lasers subject to delayed feedback,” Phys. Rev. E 88, 052904 (2013).
[CrossRef]

Hong, Y.

Horng, R-H

S. Donati, R-H Horng, “The diagram of feedback regimes revisited,” IEEE J. Sel. Top. Quantum Electron. 19, 1500309 (2013).
[CrossRef]

Junges, L.

L. Junges, T. Pöschel, J. A. C. Gallas, “Characterization of the stability of semiconductor lasers with delayed feedback according to the Lang–Kobayashi model,” Eur. Phys. J. D. 67, 149 (2013).
[CrossRef]

Kane, D. M.

J. P. Toomey, D. M. Kane, M. W. Lee, K. A. Shore, “Nonlinear dynamics of semiconductor lasers with feedback and modulation,” Opt. Express 18, 1695516972 (2010).
[CrossRef]

Kikuchi, N.

Y. Liu, N. Kikuchi, J. Ohtsubo, “Controlling dynamical behavior of a semiconductor laser with external optical feedback,” Phys. Rev. E 51, R2697–R2700 (1995).
[CrossRef]

Kobayashi, K.

R. Lang, K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

Laje, R.

J. M. Mendez, R. Laje, M. Giudici, J. Aliaga, G. B. Mindlin, “Dynamics of periodically forced semiconductor laser with optical feedback,” Phys. Rev. E 63, 066218 (2001).
[CrossRef]

Lam, W-S

W-S Lam, N. Parvez, R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. of Modern Phys. B 17, 4123–4138 (2003).
[CrossRef]

Lang, R.

R. Lang, K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

Larger, L.

Larrondo, H. A.

O. A. Rosso, H. A. Larrondo, M. T. Martin, A. Plastino, M. A. Fuentes, “Distinguishing noise from chaos,” Phys. Rev. Lett. 99, 154102 (2007).
[CrossRef] [PubMed]

Lee, M. W.

J. P. Toomey, D. M. Kane, M. W. Lee, K. A. Shore, “Nonlinear dynamics of semiconductor lasers with feedback and modulation,” Opt. Express 18, 1695516972 (2010).
[CrossRef]

Lenstra, D.

D. Lenstra, B. H. Verbeek, A. J. Den Boef, “Coherence collapse in single-mode semiconductor-lasers due to optical feedback,” IEEE J. Quantum. Electron. 21, 674–679 (1985).
[CrossRef]

Lindner, B.

T. Schwalger, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, B. Lindner, “Interspike-interval correlations induced by two-state switching in an excitable system,” Europhys. Lett. 99, 10004 (2012).
[CrossRef]

Liu, Y.

Y. Liu, N. Kikuchi, J. Ohtsubo, “Controlling dynamical behavior of a semiconductor laser with external optical feedback,” Phys. Rev. E 51, R2697–R2700 (1995).
[CrossRef]

Marin, F.

A. Torcini, S. Barland, G. Giacomelli, F. Marin, “Low-frequency fluctuations in vertical cavity lasers: experiments versus Lang–Kobayashi dynamics,” Phys. Rev. A 74, 063801 (2006).
[CrossRef]

Marino, F.

F. Marino, M. Giudici, S. Barland, S. Balle, “Experimental evidence of stochastic resonance in an excitable optical system,” Phys. Rev. Lett. 88, 040601 (2002).
[CrossRef] [PubMed]

Martin, M. T.

O. A. Rosso, H. A. Larrondo, M. T. Martin, A. Plastino, M. A. Fuentes, “Distinguishing noise from chaos,” Phys. Rev. Lett. 99, 154102 (2007).
[CrossRef] [PubMed]

Martinez, O. E.

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83, 292 (1999).
[CrossRef]

Martínez Avila, J. F.

J. F. Martínez Avila, H. L. D. de S. Cavalcante, J. R. Rios Leite, “Experimental deterministic coherent resonance,” Phys. Rev. Lett. 93, 144101 (2004).
[CrossRef]

Masoller, C.

S. D. Cohen, A. Aragoneses, D. Rontani, M. C. Torrent, C. Masoller, D. J. Gauthier, “Multidimensional subwavelength position sensing using a semiconductor laser with optical feedback,” Opt. Lett. 38, 4331 (2013).
[CrossRef] [PubMed]

J. A. Reinoso, J. Zamora-Munt, C. Masoller, “Extreme intensity pulses in a semiconductor laser with a short external cavity,” Phys. Rev. E 87, 062913 (2013).
[CrossRef]

A. Aragoneses, N. Rubido, J. Tiana-alsina, M. C. Torrent, C. Masoller, “Distinguishing signatures of determinism and stochasticity in spiking complex systems,” Sci. Rep. 3, 1778 (2013).
[CrossRef] [PubMed]

N. Rubido, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, C. Masoller, “Language organization and temporal correlations in the spiking activity of an excitable laser: experiments and model comparison,” Phys. Rev. E 84, 026202 (2011).
[CrossRef]

J. Zamora-Munt, C. Masoller, J. Garcia-Ojalvo, “Transient low-frequency fluctuations in semiconductor lasers with optical feedback,” Phys. Rev. A 81, 033820 (2010).
[CrossRef]

M. Sciamanna, C. Masoller, N. B. Abraham, F. Rogister, P. Mégret, M. Blondel, “Different regimes of low-frequency fluctuations in vertical-cavity surface-emitting lasers,” J. Opt. Soc. Am. B 20, 37 (2003).
[CrossRef]

Mégret, P.

Mendez, J. M.

J. M. Mendez, R. Laje, M. Giudici, J. Aliaga, G. B. Mindlin, “Dynamics of periodically forced semiconductor laser with optical feedback,” Phys. Rev. E 63, 066218 (2001).
[CrossRef]

Mindlin, G. B.

J. M. Mendez, R. Laje, M. Giudici, J. Aliaga, G. B. Mindlin, “Dynamics of periodically forced semiconductor laser with optical feedback,” Phys. Rev. E 63, 066218 (2001).
[CrossRef]

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83, 292 (1999).
[CrossRef]

Mirasso, C. R.

M. C. Soriano, L. Zunino, L. Larger, I. Fischer, C. R. Mirasso, “Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator,” Opt. Lett. 36, 2212 (2011).
[CrossRef] [PubMed]

J. M. Buldú, D. R. Chialvo, C. R. Mirasso, M. C. Torrent, J. Garcia-Ojalvo, “Ghost resonance in a semiconductor laser with optical feedback,” Europhys. Lett. 64, 178 (2003).
[CrossRef]

J. M. Buldú, J. Garcia-Ojalvo, C. R. Mirasso, M. C. Torrent, “Stochastic entrainment of optical power dropouts,” Phys. Rev. E 66, 021106 (2002).
[CrossRef]

J. Mulet, C. R. Mirasso, “Numerical statistics of power dropouts based on the Lang–Kobayashi mod,” Phys. Rev. E 59, 5400 (1999).
[CrossRef]

Mulet, J.

J. Mulet, C. R. Mirasso, “Numerical statistics of power dropouts based on the Lang–Kobayashi mod,” Phys. Rev. E 59, 5400 (1999).
[CrossRef]

Nespolo, U.

M. Giudici, C. Green, G. Giacomelli, U. Nespolo, J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414 (1997).
[CrossRef]

Ohtsubo, J.

Y. Liu, N. Kikuchi, J. Ohtsubo, “Controlling dynamical behavior of a semiconductor laser with external optical feedback,” Phys. Rev. E 51, R2697–R2700 (1995).
[CrossRef]

Panajotov, K.

A. Tabaka, K. Panajotov, I. Veretennicoff, M. Sciamanna, “Bifurcation study of regular pulse packages in laser diodes subject to optical feedback,” Phys. Rev E 70, 036211 (2004).
[CrossRef]

Parvez, N.

W-S Lam, N. Parvez, R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. of Modern Phys. B 17, 4123–4138 (2003).
[CrossRef]

Plastino, A.

O. A. Rosso, H. A. Larrondo, M. T. Martin, A. Plastino, M. A. Fuentes, “Distinguishing noise from chaos,” Phys. Rev. Lett. 99, 154102 (2007).
[CrossRef] [PubMed]

Pompe, B.

C. Bandt, B. Pompe, “Permutation entropy: a natural complexity measure for time series,” Phys. Rev. Lett. 88, 174102 (2002).
[CrossRef] [PubMed]

Porte, X.

K. Hicke, X. Porte, I. Fischer, “Characterizing the deterministic nature of individual power dropouts in semiconductor lasers subject to delayed feedback,” Phys. Rev. E 88, 052904 (2013).
[CrossRef]

Pöschel, T.

L. Junges, T. Pöschel, J. A. C. Gallas, “Characterization of the stability of semiconductor lasers with delayed feedback according to the Lang–Kobayashi model,” Eur. Phys. J. D. 67, 149 (2013).
[CrossRef]

Reinoso, J. A.

J. A. Reinoso, J. Zamora-Munt, C. Masoller, “Extreme intensity pulses in a semiconductor laser with a short external cavity,” Phys. Rev. E 87, 062913 (2013).
[CrossRef]

Rios Leite, J. R.

J. F. Martínez Avila, H. L. D. de S. Cavalcante, J. R. Rios Leite, “Experimental deterministic coherent resonance,” Phys. Rev. Lett. 93, 144101 (2004).
[CrossRef]

Rogister, F.

Rontani, D.

Rosso, O. A.

L. Zunino, M. C. Soriano, O. A. Rosso, “Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach,” Phys. Rev. E 86, 046210 (2012).
[CrossRef]

O. A. Rosso, H. A. Larrondo, M. T. Martin, A. Plastino, M. A. Fuentes, “Distinguishing noise from chaos,” Phys. Rev. Lett. 99, 154102 (2007).
[CrossRef] [PubMed]

Roy, R.

W-S Lam, N. Parvez, R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. of Modern Phys. B 17, 4123–4138 (2003).
[CrossRef]

Rubido, N.

A. Aragoneses, N. Rubido, J. Tiana-alsina, M. C. Torrent, C. Masoller, “Distinguishing signatures of determinism and stochasticity in spiking complex systems,” Sci. Rep. 3, 1778 (2013).
[CrossRef] [PubMed]

N. Rubido, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, C. Masoller, “Language organization and temporal correlations in the spiking activity of an excitable laser: experiments and model comparison,” Phys. Rev. E 84, 026202 (2011).
[CrossRef]

Schwalger, T.

T. Schwalger, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, B. Lindner, “Interspike-interval correlations induced by two-state switching in an excitable system,” Europhys. Lett. 99, 10004 (2012).
[CrossRef]

Sciamanna, M.

A. Tabaka, K. Panajotov, I. Veretennicoff, M. Sciamanna, “Bifurcation study of regular pulse packages in laser diodes subject to optical feedback,” Phys. Rev E 70, 036211 (2004).
[CrossRef]

M. Sciamanna, C. Masoller, N. B. Abraham, F. Rogister, P. Mégret, M. Blondel, “Different regimes of low-frequency fluctuations in vertical-cavity surface-emitting lasers,” J. Opt. Soc. Am. B 20, 37 (2003).
[CrossRef]

Shore, K. A.

J. P. Toomey, D. M. Kane, M. W. Lee, K. A. Shore, “Nonlinear dynamics of semiconductor lasers with feedback and modulation,” Opt. Express 18, 1695516972 (2010).
[CrossRef]

Y. Hong, K. A. Shore, “Statistical measures of the power dropout ratio in semiconductor lasers subject to optical feedback,” Opt. Lett. 30, 3332 (2005).
[CrossRef]

Soriano, M. C.

L. Zunino, M. C. Soriano, O. A. Rosso, “Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach,” Phys. Rev. E 86, 046210 (2012).
[CrossRef]

M. C. Soriano, L. Zunino, L. Larger, I. Fischer, C. R. Mirasso, “Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator,” Opt. Lett. 36, 2212 (2011).
[CrossRef] [PubMed]

Sukow, D. W.

D. W. Sukow, D. J. Gauthier, “Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current,” IEEE J. Quantum Electron. 36, 175 (2000).
[CrossRef]

D. W. Sukow, J. R. Gardner, D. J. Gauthier, “Statistics of power-dropout events in semiconductor lasers with time-delayed optical feedback,” Phys. Rev. A. 56, R3370 (1997).
[CrossRef]

Tabaka, A.

A. Tabaka, K. Panajotov, I. Veretennicoff, M. Sciamanna, “Bifurcation study of regular pulse packages in laser diodes subject to optical feedback,” Phys. Rev E 70, 036211 (2004).
[CrossRef]

Tiana-alsina, J.

A. Aragoneses, N. Rubido, J. Tiana-alsina, M. C. Torrent, C. Masoller, “Distinguishing signatures of determinism and stochasticity in spiking complex systems,” Sci. Rep. 3, 1778 (2013).
[CrossRef] [PubMed]

T. Schwalger, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, B. Lindner, “Interspike-interval correlations induced by two-state switching in an excitable system,” Europhys. Lett. 99, 10004 (2012).
[CrossRef]

N. Rubido, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, C. Masoller, “Language organization and temporal correlations in the spiking activity of an excitable laser: experiments and model comparison,” Phys. Rev. E 84, 026202 (2011).
[CrossRef]

Toomey, J. P.

J. P. Toomey, D. M. Kane, M. W. Lee, K. A. Shore, “Nonlinear dynamics of semiconductor lasers with feedback and modulation,” Opt. Express 18, 1695516972 (2010).
[CrossRef]

Torcini, A.

A. Torcini, S. Barland, G. Giacomelli, F. Marin, “Low-frequency fluctuations in vertical cavity lasers: experiments versus Lang–Kobayashi dynamics,” Phys. Rev. A 74, 063801 (2006).
[CrossRef]

Torrent, M. C.

A. Aragoneses, N. Rubido, J. Tiana-alsina, M. C. Torrent, C. Masoller, “Distinguishing signatures of determinism and stochasticity in spiking complex systems,” Sci. Rep. 3, 1778 (2013).
[CrossRef] [PubMed]

S. D. Cohen, A. Aragoneses, D. Rontani, M. C. Torrent, C. Masoller, D. J. Gauthier, “Multidimensional subwavelength position sensing using a semiconductor laser with optical feedback,” Opt. Lett. 38, 4331 (2013).
[CrossRef] [PubMed]

T. Schwalger, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, B. Lindner, “Interspike-interval correlations induced by two-state switching in an excitable system,” Europhys. Lett. 99, 10004 (2012).
[CrossRef]

N. Rubido, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, C. Masoller, “Language organization and temporal correlations in the spiking activity of an excitable laser: experiments and model comparison,” Phys. Rev. E 84, 026202 (2011).
[CrossRef]

J. M. Buldú, D. R. Chialvo, C. R. Mirasso, M. C. Torrent, J. Garcia-Ojalvo, “Ghost resonance in a semiconductor laser with optical feedback,” Europhys. Lett. 64, 178 (2003).
[CrossRef]

J. M. Buldú, J. Garcia-Ojalvo, C. R. Mirasso, M. C. Torrent, “Stochastic entrainment of optical power dropouts,” Phys. Rev. E 66, 021106 (2002).
[CrossRef]

Tredicce, J. R.

M. Giudici, C. Green, G. Giacomelli, U. Nespolo, J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414 (1997).
[CrossRef]

Verbeek, B. H.

D. Lenstra, B. H. Verbeek, A. J. Den Boef, “Coherence collapse in single-mode semiconductor-lasers due to optical feedback,” IEEE J. Quantum. Electron. 21, 674–679 (1985).
[CrossRef]

Veretennicoff, I.

A. Tabaka, K. Panajotov, I. Veretennicoff, M. Sciamanna, “Bifurcation study of regular pulse packages in laser diodes subject to optical feedback,” Phys. Rev E 70, 036211 (2004).
[CrossRef]

Yacomotti, A. M.

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83, 292 (1999).
[CrossRef]

Zamora-Munt, J.

J. A. Reinoso, J. Zamora-Munt, C. Masoller, “Extreme intensity pulses in a semiconductor laser with a short external cavity,” Phys. Rev. E 87, 062913 (2013).
[CrossRef]

J. Zamora-Munt, C. Masoller, J. Garcia-Ojalvo, “Transient low-frequency fluctuations in semiconductor lasers with optical feedback,” Phys. Rev. A 81, 033820 (2010).
[CrossRef]

Zunino, L.

L. Zunino, M. C. Soriano, O. A. Rosso, “Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach,” Phys. Rev. E 86, 046210 (2012).
[CrossRef]

M. C. Soriano, L. Zunino, L. Larger, I. Fischer, C. R. Mirasso, “Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator,” Opt. Lett. 36, 2212 (2011).
[CrossRef] [PubMed]

Eur. Phys. J. D. (1)

L. Junges, T. Pöschel, J. A. C. Gallas, “Characterization of the stability of semiconductor lasers with delayed feedback according to the Lang–Kobayashi model,” Eur. Phys. J. D. 67, 149 (2013).
[CrossRef]

Europhys. Lett. (2)

J. M. Buldú, D. R. Chialvo, C. R. Mirasso, M. C. Torrent, J. Garcia-Ojalvo, “Ghost resonance in a semiconductor laser with optical feedback,” Europhys. Lett. 64, 178 (2003).
[CrossRef]

T. Schwalger, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, B. Lindner, “Interspike-interval correlations induced by two-state switching in an excitable system,” Europhys. Lett. 99, 10004 (2012).
[CrossRef]

IEEE J. Quantum Electron. (2)

R. Lang, K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

D. W. Sukow, D. J. Gauthier, “Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current,” IEEE J. Quantum Electron. 36, 175 (2000).
[CrossRef]

IEEE J. Quantum. Electron. (1)

D. Lenstra, B. H. Verbeek, A. J. Den Boef, “Coherence collapse in single-mode semiconductor-lasers due to optical feedback,” IEEE J. Quantum. Electron. 21, 674–679 (1985).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

S. Donati, R-H Horng, “The diagram of feedback regimes revisited,” IEEE J. Sel. Top. Quantum Electron. 19, 1500309 (2013).
[CrossRef]

Int. J. of Modern Phys. B (1)

W-S Lam, N. Parvez, R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. of Modern Phys. B 17, 4123–4138 (2003).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Express (1)

J. P. Toomey, D. M. Kane, M. W. Lee, K. A. Shore, “Nonlinear dynamics of semiconductor lasers with feedback and modulation,” Opt. Express 18, 1695516972 (2010).
[CrossRef]

Opt. Lett. (3)

Phys. Rev E (1)

A. Tabaka, K. Panajotov, I. Veretennicoff, M. Sciamanna, “Bifurcation study of regular pulse packages in laser diodes subject to optical feedback,” Phys. Rev E 70, 036211 (2004).
[CrossRef]

Phys. Rev. A (2)

A. Torcini, S. Barland, G. Giacomelli, F. Marin, “Low-frequency fluctuations in vertical cavity lasers: experiments versus Lang–Kobayashi dynamics,” Phys. Rev. A 74, 063801 (2006).
[CrossRef]

J. Zamora-Munt, C. Masoller, J. Garcia-Ojalvo, “Transient low-frequency fluctuations in semiconductor lasers with optical feedback,” Phys. Rev. A 81, 033820 (2010).
[CrossRef]

Phys. Rev. A. (1)

D. W. Sukow, J. R. Gardner, D. J. Gauthier, “Statistics of power-dropout events in semiconductor lasers with time-delayed optical feedback,” Phys. Rev. A. 56, R3370 (1997).
[CrossRef]

Phys. Rev. E (9)

J. Mulet, C. R. Mirasso, “Numerical statistics of power dropouts based on the Lang–Kobayashi mod,” Phys. Rev. E 59, 5400 (1999).
[CrossRef]

J. A. Reinoso, J. Zamora-Munt, C. Masoller, “Extreme intensity pulses in a semiconductor laser with a short external cavity,” Phys. Rev. E 87, 062913 (2013).
[CrossRef]

M. Giudici, C. Green, G. Giacomelli, U. Nespolo, J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414 (1997).
[CrossRef]

N. Rubido, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, C. Masoller, “Language organization and temporal correlations in the spiking activity of an excitable laser: experiments and model comparison,” Phys. Rev. E 84, 026202 (2011).
[CrossRef]

L. Zunino, M. C. Soriano, O. A. Rosso, “Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach,” Phys. Rev. E 86, 046210 (2012).
[CrossRef]

K. Hicke, X. Porte, I. Fischer, “Characterizing the deterministic nature of individual power dropouts in semiconductor lasers subject to delayed feedback,” Phys. Rev. E 88, 052904 (2013).
[CrossRef]

Y. Liu, N. Kikuchi, J. Ohtsubo, “Controlling dynamical behavior of a semiconductor laser with external optical feedback,” Phys. Rev. E 51, R2697–R2700 (1995).
[CrossRef]

J. M. Buldú, J. Garcia-Ojalvo, C. R. Mirasso, M. C. Torrent, “Stochastic entrainment of optical power dropouts,” Phys. Rev. E 66, 021106 (2002).
[CrossRef]

J. M. Mendez, R. Laje, M. Giudici, J. Aliaga, G. B. Mindlin, “Dynamics of periodically forced semiconductor laser with optical feedback,” Phys. Rev. E 63, 066218 (2001).
[CrossRef]

Phys. Rev. Lett. (7)

F. Marino, M. Giudici, S. Barland, S. Balle, “Experimental evidence of stochastic resonance in an excitable optical system,” Phys. Rev. Lett. 88, 040601 (2002).
[CrossRef] [PubMed]

J. F. Martínez Avila, H. L. D. de S. Cavalcante, J. R. Rios Leite, “Experimental deterministic coherent resonance,” Phys. Rev. Lett. 93, 144101 (2004).
[CrossRef]

D. Baums, W. Elsässer, E. O. Göbel, “Farey tree and Devil’s staircase of a modulated external-cavity semiconductor laser,” Phys. Rev. Lett. 63, 155 (1989).
[CrossRef] [PubMed]

C. Bandt, B. Pompe, “Permutation entropy: a natural complexity measure for time series,” Phys. Rev. Lett. 88, 174102 (2002).
[CrossRef] [PubMed]

O. A. Rosso, H. A. Larrondo, M. T. Martin, A. Plastino, M. A. Fuentes, “Distinguishing noise from chaos,” Phys. Rev. Lett. 99, 154102 (2007).
[CrossRef] [PubMed]

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83, 292 (1999).
[CrossRef]

T. Heil, I. Fischer, W. Elsäßer, A. Gavrielides, “Dynamics of semiconductor lasers subject to delayed optical feedback: the short cavity regime,” Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

Sci. Rep. (1)

A. Aragoneses, N. Rubido, J. Tiana-alsina, M. C. Torrent, C. Masoller, “Distinguishing signatures of determinism and stochasticity in spiking complex systems,” Sci. Rep. 3, 1778 (2013).
[CrossRef] [PubMed]

Other (2)

K. Lüdge, editor, Nonlineal Laser Dynamics. From Quantum Dots to Cryptography (Wiley-VCH, 2011).
[CrossRef]

D. M. Kane, K. A. Shore, eds. Unlocking Dynamical Diversity (John Wiley & Sons, 2005).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Experimental setup for (a) 650 nm laser (Hitachi HL6714G) and (b) 1550 nm laser (Mitsubishi ML925B45F). LD stands for laser diode, BS for beam-splitter and OSC for oscilloscope.

Fig. 2
Fig. 2

Time traces of the laser intensity (650 nm laser), probability distribution functions (PDFs) of the inter-dropout intervals, ΔTi (IDIs), and return maps (ΔTi+1 vs. ΔTi) in units of the modulation period (Tmod) for increasing modulation amplitude: from top to bottom, No modulation, 23.4 mV (1.2%), 31.2 mV (1.6%), and 39.0 mV (2%). In panel (a) the words ’10’ (D = 2) and ’210’ (D = 3) are depicted as examples; in panel (c) the transition for ’10 → 01’ is depicted as example (see text for details).

Fig. 3
Fig. 3

Probabilities of the words of D = 2 (a, b, c) and D = 3 (d, e, f) versus the modulation amplitude for the experiment with the 650 nm laser (a, d), the experiment with the 1550 nm laser (b, e), and the numerical simulations of the LK model (c,f). The gray region (p±3σ, where p = 1/D!, σ = p ( 1 p ) / N, and N is the number of words in the symbolic sequence) indicates probability values consistent with 95% confidence level with the null hypothesis that all the words are equally probable (i.e., that there are no correlations present in the sequence of dropouts).

Fig. 4
Fig. 4

Transition probabilities for the 650 nm laser (a, d, g), the 1550 nm laser (b, e, h), and the simulated data (c, f, i). The first row indicates the transition probabilities from word ’01’ to ’01’ and ’10’, such that TP(01→01)+TP(01→10) = 1. The second row indicates the transition probabilities from word ’10’ to ’01’ and ’10’, such that TP(10→01)+TP(10→10) = 1, while the third row consideres all four transitions, such that TP ( 01 01 ) * + TP ( 01 10 ) * + TP ( 10 01 ) * + TP ( 10 10 ) * = 1.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

d E d t = 1 2 τ p ( 1 + α ) ( G 1 ) E + η E ( t τ ) e i ω 0 τ + 2 β s p ξ ,
d N d t = 1 τ N ( μ N G | E | 2 ) ,

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