Abstract

We study synchronization in chaotic oscillations of counterpropagating waves in a solid-state ring laser with a periodically modulated pump. The new phenomenon of spontaneous switching of in-phase- and anti-phase chaotic synchronization has been discovered in a numerical experiment.

© 1998 Optical Society of America

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References

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  1. L.M. Pecora and T.L. Carrol, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64, 821–824 (1990).
    [Crossref] [PubMed]
  2. L.M. Pecora and T.L. Carrol, “Driving systems with chaotic signals,” Phys. Rev. A 44, 2374–2383 (1991).
    [Crossref] [PubMed]
  3. I.I. Blekhman, P.S. Landa, and M.G. Rosenblum, “Synchronization and chaotization in interacting dynamical systems,” Appl. Mech. Rev. 48, 733–752 (1995).
    [Crossref]
  4. H.G. Winful and L. Rahman, “Synchronized chaos and spatiotemporal chaos in arrays of coupled lasers,” Phys. Rev. Lett. 65, 1575–1577 (1990).
    [Crossref] [PubMed]
  5. R. Roy and K.S. Thornburg, “Experimental synchronization of chaotic lasers,” Phys. Rev. Lett. 72, 2009–2011 (1994).
    [Crossref] [PubMed]
  6. T. Sugawara, M. Tachikawa, T. Tsukamoto, and V. Shimizu, “Observation of synchronization in laser chaos,” Phys. Rev. Lett. 72, 3502–3504 (1994).
    [Crossref] [PubMed]
  7. V. Annovazzi-Lodi, S. Donati, and A. Scire, “Synchronization of chaotic injected-laser systems and its application to optical cryptography,” IEEE J. Quantum Electron.,  32, 953–959 (1996).
    [Crossref]
  8. C.R. Mirasso, P. Colet, and P. Garcia-Fernandez “Synchronization of chaotic semiconductor lasers: application to encoded communications,” IEEE Photonics Technol. Lett. 8, 299–301 (1996).
    [Crossref]
  9. L. Rahman, G. Li, and F. Tian, “Remoute synchronization of high-frequency chaotic signals in semiconductor lasers for secure communications,” Opt. Commun. 138, 91–94 (1997).
    [Crossref]
  10. V. Annovazzi-Lodi, S. Donati, and A. Scire, “Synchronization of chaotic lasers by optical feedback for cryptographic applications,” IEEE J. Quantum Electron. 33, 1449–1454 (1997).
    [Crossref]
  11. A. Pikovsky, M. Rosenblum, and J. Kurths, “Synchronization in a population of globally coupled chaotic oscillators,” Europhys. Lett. 34, 165–170 (1996).
    [Crossref]
  12. G.V. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, “Phase synchronization effects in a lattice of nonidentical Rossler oscillators,” Phys. Rev. E 55, 2353–2361 (1997).
    [Crossref]
  13. U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, “Experimental observation of phase synchronization,” Phys. Rev. E 54, 2115–2117 (1996).
    [Crossref]
  14. D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Synchronization of dynamic chaos in counterpropagating ring-laser waves,” Quantum Electron. 27, 631–634 (1997).
    [Crossref]
  15. W. Klische, H.R. Telle, and C.O. Weiss, “Chaos in a solid-state laser with a periodically modulated pump,” Opt. Lett. 9, 561–564 (1984)
    [Crossref] [PubMed]
  16. G.P. Puccioni, A. Poggi, W. Gadomski, J.R. Tredicce, and F.T. Arecchi, “Measurement of the formation and evolution of a strange attractor in a laser,” Phys. Rev. Lett. 55, 339–342 (1985).
    [Crossref] [PubMed]
  17. J.R. Tredicce, F.T. Arecchi, G.P. Puccioni, A. Poggi, and W. Gadomski, “Dynamic behavior and onset of low-dimensional chaos in a modulated homogeneously broadened single-mode laser,” Phys. Rev. A 34, 2073–2081 (1986).
    [Crossref] [PubMed]
  18. F. Papoff, D. Dangoisse, E. Poite-Hanoteau, and P. Glorieux, “Chaotic transients in a CO2 laser with modulated parameters: critical slowing-down and crisis-unduced intermittency,” Opt. Commun. 67, 358–362 (1988).
    [Crossref]
  19. N.G. Solari, E. Eschnazi, R. Gilmore, and J.R. Tredicce, “Influence of coexisting attractors on the dynamics of a laser system,” Opt. Commun. 64, 49–53 (1987).
    [Crossref]
  20. I.I. Zolotoverkh, D.N. Klimenko, and E.G. Lariontsev, “Influence of periodic loss modulation on the dynamics of self-modulation oscillations in a solid-state ring laser,” Quantum Electron. 26, 609–613 (1996).
    [Crossref]
  21. I.I. Zolotoverkh, D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Parametric processes and multistability in a ring chip laser with periodic pump modulation,” Quantum Electron. 26, 914–918 (1996)
    [Crossref]

1997 (4)

L. Rahman, G. Li, and F. Tian, “Remoute synchronization of high-frequency chaotic signals in semiconductor lasers for secure communications,” Opt. Commun. 138, 91–94 (1997).
[Crossref]

V. Annovazzi-Lodi, S. Donati, and A. Scire, “Synchronization of chaotic lasers by optical feedback for cryptographic applications,” IEEE J. Quantum Electron. 33, 1449–1454 (1997).
[Crossref]

G.V. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, “Phase synchronization effects in a lattice of nonidentical Rossler oscillators,” Phys. Rev. E 55, 2353–2361 (1997).
[Crossref]

D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Synchronization of dynamic chaos in counterpropagating ring-laser waves,” Quantum Electron. 27, 631–634 (1997).
[Crossref]

1996 (6)

U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, “Experimental observation of phase synchronization,” Phys. Rev. E 54, 2115–2117 (1996).
[Crossref]

A. Pikovsky, M. Rosenblum, and J. Kurths, “Synchronization in a population of globally coupled chaotic oscillators,” Europhys. Lett. 34, 165–170 (1996).
[Crossref]

V. Annovazzi-Lodi, S. Donati, and A. Scire, “Synchronization of chaotic injected-laser systems and its application to optical cryptography,” IEEE J. Quantum Electron.,  32, 953–959 (1996).
[Crossref]

C.R. Mirasso, P. Colet, and P. Garcia-Fernandez “Synchronization of chaotic semiconductor lasers: application to encoded communications,” IEEE Photonics Technol. Lett. 8, 299–301 (1996).
[Crossref]

I.I. Zolotoverkh, D.N. Klimenko, and E.G. Lariontsev, “Influence of periodic loss modulation on the dynamics of self-modulation oscillations in a solid-state ring laser,” Quantum Electron. 26, 609–613 (1996).
[Crossref]

I.I. Zolotoverkh, D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Parametric processes and multistability in a ring chip laser with periodic pump modulation,” Quantum Electron. 26, 914–918 (1996)
[Crossref]

1995 (1)

I.I. Blekhman, P.S. Landa, and M.G. Rosenblum, “Synchronization and chaotization in interacting dynamical systems,” Appl. Mech. Rev. 48, 733–752 (1995).
[Crossref]

1994 (2)

R. Roy and K.S. Thornburg, “Experimental synchronization of chaotic lasers,” Phys. Rev. Lett. 72, 2009–2011 (1994).
[Crossref] [PubMed]

T. Sugawara, M. Tachikawa, T. Tsukamoto, and V. Shimizu, “Observation of synchronization in laser chaos,” Phys. Rev. Lett. 72, 3502–3504 (1994).
[Crossref] [PubMed]

1991 (1)

L.M. Pecora and T.L. Carrol, “Driving systems with chaotic signals,” Phys. Rev. A 44, 2374–2383 (1991).
[Crossref] [PubMed]

1990 (2)

L.M. Pecora and T.L. Carrol, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64, 821–824 (1990).
[Crossref] [PubMed]

H.G. Winful and L. Rahman, “Synchronized chaos and spatiotemporal chaos in arrays of coupled lasers,” Phys. Rev. Lett. 65, 1575–1577 (1990).
[Crossref] [PubMed]

1988 (1)

F. Papoff, D. Dangoisse, E. Poite-Hanoteau, and P. Glorieux, “Chaotic transients in a CO2 laser with modulated parameters: critical slowing-down and crisis-unduced intermittency,” Opt. Commun. 67, 358–362 (1988).
[Crossref]

1987 (1)

N.G. Solari, E. Eschnazi, R. Gilmore, and J.R. Tredicce, “Influence of coexisting attractors on the dynamics of a laser system,” Opt. Commun. 64, 49–53 (1987).
[Crossref]

1986 (1)

J.R. Tredicce, F.T. Arecchi, G.P. Puccioni, A. Poggi, and W. Gadomski, “Dynamic behavior and onset of low-dimensional chaos in a modulated homogeneously broadened single-mode laser,” Phys. Rev. A 34, 2073–2081 (1986).
[Crossref] [PubMed]

1985 (1)

G.P. Puccioni, A. Poggi, W. Gadomski, J.R. Tredicce, and F.T. Arecchi, “Measurement of the formation and evolution of a strange attractor in a laser,” Phys. Rev. Lett. 55, 339–342 (1985).
[Crossref] [PubMed]

1984 (1)

Annovazzi-Lodi, V.

V. Annovazzi-Lodi, S. Donati, and A. Scire, “Synchronization of chaotic lasers by optical feedback for cryptographic applications,” IEEE J. Quantum Electron. 33, 1449–1454 (1997).
[Crossref]

V. Annovazzi-Lodi, S. Donati, and A. Scire, “Synchronization of chaotic injected-laser systems and its application to optical cryptography,” IEEE J. Quantum Electron.,  32, 953–959 (1996).
[Crossref]

Arecchi, F.T.

J.R. Tredicce, F.T. Arecchi, G.P. Puccioni, A. Poggi, and W. Gadomski, “Dynamic behavior and onset of low-dimensional chaos in a modulated homogeneously broadened single-mode laser,” Phys. Rev. A 34, 2073–2081 (1986).
[Crossref] [PubMed]

G.P. Puccioni, A. Poggi, W. Gadomski, J.R. Tredicce, and F.T. Arecchi, “Measurement of the formation and evolution of a strange attractor in a laser,” Phys. Rev. Lett. 55, 339–342 (1985).
[Crossref] [PubMed]

Blekhman, I.I.

I.I. Blekhman, P.S. Landa, and M.G. Rosenblum, “Synchronization and chaotization in interacting dynamical systems,” Appl. Mech. Rev. 48, 733–752 (1995).
[Crossref]

Carrol, T.L.

L.M. Pecora and T.L. Carrol, “Driving systems with chaotic signals,” Phys. Rev. A 44, 2374–2383 (1991).
[Crossref] [PubMed]

L.M. Pecora and T.L. Carrol, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64, 821–824 (1990).
[Crossref] [PubMed]

Colet, P.

C.R. Mirasso, P. Colet, and P. Garcia-Fernandez “Synchronization of chaotic semiconductor lasers: application to encoded communications,” IEEE Photonics Technol. Lett. 8, 299–301 (1996).
[Crossref]

Dangoisse, D.

F. Papoff, D. Dangoisse, E. Poite-Hanoteau, and P. Glorieux, “Chaotic transients in a CO2 laser with modulated parameters: critical slowing-down and crisis-unduced intermittency,” Opt. Commun. 67, 358–362 (1988).
[Crossref]

Donati, S.

V. Annovazzi-Lodi, S. Donati, and A. Scire, “Synchronization of chaotic lasers by optical feedback for cryptographic applications,” IEEE J. Quantum Electron. 33, 1449–1454 (1997).
[Crossref]

V. Annovazzi-Lodi, S. Donati, and A. Scire, “Synchronization of chaotic injected-laser systems and its application to optical cryptography,” IEEE J. Quantum Electron.,  32, 953–959 (1996).
[Crossref]

Eschnazi, E.

N.G. Solari, E. Eschnazi, R. Gilmore, and J.R. Tredicce, “Influence of coexisting attractors on the dynamics of a laser system,” Opt. Commun. 64, 49–53 (1987).
[Crossref]

Firsov, V.V.

D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Synchronization of dynamic chaos in counterpropagating ring-laser waves,” Quantum Electron. 27, 631–634 (1997).
[Crossref]

I.I. Zolotoverkh, D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Parametric processes and multistability in a ring chip laser with periodic pump modulation,” Quantum Electron. 26, 914–918 (1996)
[Crossref]

Gadomski, W.

J.R. Tredicce, F.T. Arecchi, G.P. Puccioni, A. Poggi, and W. Gadomski, “Dynamic behavior and onset of low-dimensional chaos in a modulated homogeneously broadened single-mode laser,” Phys. Rev. A 34, 2073–2081 (1986).
[Crossref] [PubMed]

G.P. Puccioni, A. Poggi, W. Gadomski, J.R. Tredicce, and F.T. Arecchi, “Measurement of the formation and evolution of a strange attractor in a laser,” Phys. Rev. Lett. 55, 339–342 (1985).
[Crossref] [PubMed]

Garcia-Fernandez, P.

C.R. Mirasso, P. Colet, and P. Garcia-Fernandez “Synchronization of chaotic semiconductor lasers: application to encoded communications,” IEEE Photonics Technol. Lett. 8, 299–301 (1996).
[Crossref]

Gilmore, R.

N.G. Solari, E. Eschnazi, R. Gilmore, and J.R. Tredicce, “Influence of coexisting attractors on the dynamics of a laser system,” Opt. Commun. 64, 49–53 (1987).
[Crossref]

Glorieux, P.

F. Papoff, D. Dangoisse, E. Poite-Hanoteau, and P. Glorieux, “Chaotic transients in a CO2 laser with modulated parameters: critical slowing-down and crisis-unduced intermittency,” Opt. Commun. 67, 358–362 (1988).
[Crossref]

Junge, L.

U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, “Experimental observation of phase synchronization,” Phys. Rev. E 54, 2115–2117 (1996).
[Crossref]

Klimenko, D.N.

D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Synchronization of dynamic chaos in counterpropagating ring-laser waves,” Quantum Electron. 27, 631–634 (1997).
[Crossref]

I.I. Zolotoverkh, D.N. Klimenko, and E.G. Lariontsev, “Influence of periodic loss modulation on the dynamics of self-modulation oscillations in a solid-state ring laser,” Quantum Electron. 26, 609–613 (1996).
[Crossref]

I.I. Zolotoverkh, D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Parametric processes and multistability in a ring chip laser with periodic pump modulation,” Quantum Electron. 26, 914–918 (1996)
[Crossref]

Klische, W.

Kocarev, L.

U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, “Experimental observation of phase synchronization,” Phys. Rev. E 54, 2115–2117 (1996).
[Crossref]

Kravtsov, N.V.

D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Synchronization of dynamic chaos in counterpropagating ring-laser waves,” Quantum Electron. 27, 631–634 (1997).
[Crossref]

I.I. Zolotoverkh, D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Parametric processes and multistability in a ring chip laser with periodic pump modulation,” Quantum Electron. 26, 914–918 (1996)
[Crossref]

Kurths, J.

G.V. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, “Phase synchronization effects in a lattice of nonidentical Rossler oscillators,” Phys. Rev. E 55, 2353–2361 (1997).
[Crossref]

A. Pikovsky, M. Rosenblum, and J. Kurths, “Synchronization in a population of globally coupled chaotic oscillators,” Europhys. Lett. 34, 165–170 (1996).
[Crossref]

Landa, P.S.

I.I. Blekhman, P.S. Landa, and M.G. Rosenblum, “Synchronization and chaotization in interacting dynamical systems,” Appl. Mech. Rev. 48, 733–752 (1995).
[Crossref]

Lariontsev, E.G.

D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Synchronization of dynamic chaos in counterpropagating ring-laser waves,” Quantum Electron. 27, 631–634 (1997).
[Crossref]

I.I. Zolotoverkh, D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Parametric processes and multistability in a ring chip laser with periodic pump modulation,” Quantum Electron. 26, 914–918 (1996)
[Crossref]

I.I. Zolotoverkh, D.N. Klimenko, and E.G. Lariontsev, “Influence of periodic loss modulation on the dynamics of self-modulation oscillations in a solid-state ring laser,” Quantum Electron. 26, 609–613 (1996).
[Crossref]

Lauterborn, W.

U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, “Experimental observation of phase synchronization,” Phys. Rev. E 54, 2115–2117 (1996).
[Crossref]

Li, G.

L. Rahman, G. Li, and F. Tian, “Remoute synchronization of high-frequency chaotic signals in semiconductor lasers for secure communications,” Opt. Commun. 138, 91–94 (1997).
[Crossref]

Mirasso, C.R.

C.R. Mirasso, P. Colet, and P. Garcia-Fernandez “Synchronization of chaotic semiconductor lasers: application to encoded communications,” IEEE Photonics Technol. Lett. 8, 299–301 (1996).
[Crossref]

Osipov, G.V.

G.V. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, “Phase synchronization effects in a lattice of nonidentical Rossler oscillators,” Phys. Rev. E 55, 2353–2361 (1997).
[Crossref]

Papoff, F.

F. Papoff, D. Dangoisse, E. Poite-Hanoteau, and P. Glorieux, “Chaotic transients in a CO2 laser with modulated parameters: critical slowing-down and crisis-unduced intermittency,” Opt. Commun. 67, 358–362 (1988).
[Crossref]

Parlitz, U.

U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, “Experimental observation of phase synchronization,” Phys. Rev. E 54, 2115–2117 (1996).
[Crossref]

Pecora, L.M.

L.M. Pecora and T.L. Carrol, “Driving systems with chaotic signals,” Phys. Rev. A 44, 2374–2383 (1991).
[Crossref] [PubMed]

L.M. Pecora and T.L. Carrol, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64, 821–824 (1990).
[Crossref] [PubMed]

Pikovsky, A.

G.V. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, “Phase synchronization effects in a lattice of nonidentical Rossler oscillators,” Phys. Rev. E 55, 2353–2361 (1997).
[Crossref]

A. Pikovsky, M. Rosenblum, and J. Kurths, “Synchronization in a population of globally coupled chaotic oscillators,” Europhys. Lett. 34, 165–170 (1996).
[Crossref]

Poggi, A.

J.R. Tredicce, F.T. Arecchi, G.P. Puccioni, A. Poggi, and W. Gadomski, “Dynamic behavior and onset of low-dimensional chaos in a modulated homogeneously broadened single-mode laser,” Phys. Rev. A 34, 2073–2081 (1986).
[Crossref] [PubMed]

G.P. Puccioni, A. Poggi, W. Gadomski, J.R. Tredicce, and F.T. Arecchi, “Measurement of the formation and evolution of a strange attractor in a laser,” Phys. Rev. Lett. 55, 339–342 (1985).
[Crossref] [PubMed]

Poite-Hanoteau, E.

F. Papoff, D. Dangoisse, E. Poite-Hanoteau, and P. Glorieux, “Chaotic transients in a CO2 laser with modulated parameters: critical slowing-down and crisis-unduced intermittency,” Opt. Commun. 67, 358–362 (1988).
[Crossref]

Puccioni, G.P.

J.R. Tredicce, F.T. Arecchi, G.P. Puccioni, A. Poggi, and W. Gadomski, “Dynamic behavior and onset of low-dimensional chaos in a modulated homogeneously broadened single-mode laser,” Phys. Rev. A 34, 2073–2081 (1986).
[Crossref] [PubMed]

G.P. Puccioni, A. Poggi, W. Gadomski, J.R. Tredicce, and F.T. Arecchi, “Measurement of the formation and evolution of a strange attractor in a laser,” Phys. Rev. Lett. 55, 339–342 (1985).
[Crossref] [PubMed]

Rahman, L.

L. Rahman, G. Li, and F. Tian, “Remoute synchronization of high-frequency chaotic signals in semiconductor lasers for secure communications,” Opt. Commun. 138, 91–94 (1997).
[Crossref]

H.G. Winful and L. Rahman, “Synchronized chaos and spatiotemporal chaos in arrays of coupled lasers,” Phys. Rev. Lett. 65, 1575–1577 (1990).
[Crossref] [PubMed]

Rosenblum, M.

G.V. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, “Phase synchronization effects in a lattice of nonidentical Rossler oscillators,” Phys. Rev. E 55, 2353–2361 (1997).
[Crossref]

A. Pikovsky, M. Rosenblum, and J. Kurths, “Synchronization in a population of globally coupled chaotic oscillators,” Europhys. Lett. 34, 165–170 (1996).
[Crossref]

Rosenblum, M.G.

I.I. Blekhman, P.S. Landa, and M.G. Rosenblum, “Synchronization and chaotization in interacting dynamical systems,” Appl. Mech. Rev. 48, 733–752 (1995).
[Crossref]

Roy, R.

R. Roy and K.S. Thornburg, “Experimental synchronization of chaotic lasers,” Phys. Rev. Lett. 72, 2009–2011 (1994).
[Crossref] [PubMed]

Scire, A.

V. Annovazzi-Lodi, S. Donati, and A. Scire, “Synchronization of chaotic lasers by optical feedback for cryptographic applications,” IEEE J. Quantum Electron. 33, 1449–1454 (1997).
[Crossref]

V. Annovazzi-Lodi, S. Donati, and A. Scire, “Synchronization of chaotic injected-laser systems and its application to optical cryptography,” IEEE J. Quantum Electron.,  32, 953–959 (1996).
[Crossref]

Shimizu, V.

T. Sugawara, M. Tachikawa, T. Tsukamoto, and V. Shimizu, “Observation of synchronization in laser chaos,” Phys. Rev. Lett. 72, 3502–3504 (1994).
[Crossref] [PubMed]

Solari, N.G.

N.G. Solari, E. Eschnazi, R. Gilmore, and J.R. Tredicce, “Influence of coexisting attractors on the dynamics of a laser system,” Opt. Commun. 64, 49–53 (1987).
[Crossref]

Sugawara, T.

T. Sugawara, M. Tachikawa, T. Tsukamoto, and V. Shimizu, “Observation of synchronization in laser chaos,” Phys. Rev. Lett. 72, 3502–3504 (1994).
[Crossref] [PubMed]

Tachikawa, M.

T. Sugawara, M. Tachikawa, T. Tsukamoto, and V. Shimizu, “Observation of synchronization in laser chaos,” Phys. Rev. Lett. 72, 3502–3504 (1994).
[Crossref] [PubMed]

Telle, H.R.

Thornburg, K.S.

R. Roy and K.S. Thornburg, “Experimental synchronization of chaotic lasers,” Phys. Rev. Lett. 72, 2009–2011 (1994).
[Crossref] [PubMed]

Tian, F.

L. Rahman, G. Li, and F. Tian, “Remoute synchronization of high-frequency chaotic signals in semiconductor lasers for secure communications,” Opt. Commun. 138, 91–94 (1997).
[Crossref]

Tredicce, J.R.

N.G. Solari, E. Eschnazi, R. Gilmore, and J.R. Tredicce, “Influence of coexisting attractors on the dynamics of a laser system,” Opt. Commun. 64, 49–53 (1987).
[Crossref]

J.R. Tredicce, F.T. Arecchi, G.P. Puccioni, A. Poggi, and W. Gadomski, “Dynamic behavior and onset of low-dimensional chaos in a modulated homogeneously broadened single-mode laser,” Phys. Rev. A 34, 2073–2081 (1986).
[Crossref] [PubMed]

G.P. Puccioni, A. Poggi, W. Gadomski, J.R. Tredicce, and F.T. Arecchi, “Measurement of the formation and evolution of a strange attractor in a laser,” Phys. Rev. Lett. 55, 339–342 (1985).
[Crossref] [PubMed]

Tsukamoto, T.

T. Sugawara, M. Tachikawa, T. Tsukamoto, and V. Shimizu, “Observation of synchronization in laser chaos,” Phys. Rev. Lett. 72, 3502–3504 (1994).
[Crossref] [PubMed]

Weiss, C.O.

Winful, H.G.

H.G. Winful and L. Rahman, “Synchronized chaos and spatiotemporal chaos in arrays of coupled lasers,” Phys. Rev. Lett. 65, 1575–1577 (1990).
[Crossref] [PubMed]

Zolotoverkh, I.I.

I.I. Zolotoverkh, D.N. Klimenko, and E.G. Lariontsev, “Influence of periodic loss modulation on the dynamics of self-modulation oscillations in a solid-state ring laser,” Quantum Electron. 26, 609–613 (1996).
[Crossref]

I.I. Zolotoverkh, D.N. Klimenko, N.V. Kravtsov, E.G. Lariontsev, and V.V. Firsov, “Parametric processes and multistability in a ring chip laser with periodic pump modulation,” Quantum Electron. 26, 914–918 (1996)
[Crossref]

Appl. Mech. Rev. (1)

I.I. Blekhman, P.S. Landa, and M.G. Rosenblum, “Synchronization and chaotization in interacting dynamical systems,” Appl. Mech. Rev. 48, 733–752 (1995).
[Crossref]

Europhys. Lett. (1)

A. Pikovsky, M. Rosenblum, and J. Kurths, “Synchronization in a population of globally coupled chaotic oscillators,” Europhys. Lett. 34, 165–170 (1996).
[Crossref]

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[Crossref]

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Figures (2)

Fig.1
Fig.1

Time-dependence of ReE1 (a), ReE2 (b), and |E|2 - (1), hcos(ωpt) - (2) (c) for the chaotic oscillations in a modulated SSRL. The results were obtained by numerically integrating the system of equations (1) with ωp/2π=50 kHz, h=0.24.

Fig.2.
Fig.2.

Projections of the chaotic pulsations on the planes of variables (ReE1, ImE1) (a), (ReE1 , ReE2) (b), and (ImE1, ImE2) (c). The results were obtained by numerically integrating the system of equations (1) with ωp/2π=50 kHz, h=0.24.

Equations (5)

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d E 1,2 d t = 1 2 ω Q E 1,2 + i m 2 E 2,1 + σ l 2 T ( N 0 E 1,2 + N E 2,1 ) ,
T 1 d N 0 d t = N t h ( 1 + η eff ) N 0 ( 1 + à ( E 1 2 + E 2 2 ) ) à N + E 1 E 2 * à N E 1 * E 2 ,
T 1 d N + d t = N + ( 1 + à ( E 1 2 + E 2 2 ) ) à N 0 E 1 E 2 * ,
N 0 = 1 L 0 L N d z , N ± = 1 L 0 L N e ± i 2 k z d z , N = N + * ,
η eff = η + h cos ( ω p t ) ,

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