Abstract

We experimentally investigate lag synchronization in mutually coupled Nd:YAG lasers. Two laser diode pumped Nd:YAG lasers, when they are electronically coupled, exhibit lag synchronization for a strong coupling strength region. We investigate the synchronous behaviors of the lasers by analyzing error dynamics, phase portraits, and similarity function. We confirm the observation of lag synchronization by obtaining the probability distribution of the intermittent lag synchronization length before lag synchronization.

©2006 Optical Society of America

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References

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  1. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladres, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Rep. 366, 1 (2002).
    [Crossref]
  2. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: a universal concept in nonlinear sciences (Cambridge, Cambridge univ. press, 2001).
    [Crossref]
  3. L. M. Pecora and T. L. Carrol, “Sychronization in chaotic systems,” Phys. Rev. Lett. 64, 821 (1990).
    [Crossref] [PubMed]
  4. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “Phase synchronization of chaotic oscillators,” Phys. Rev. Lett. 76, 1804 (1996).
    [Crossref] [PubMed]
  5. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “From phase to lag synchronization in coupled chaotic oscillators,” Phys. Rev. Lett. 78, 4193 (1997).
    [Crossref]
  6. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarhanel, “Generalized synchronization of chaos in directionally coupled chaotic systems,” Phys. Rev. E 51, 980 (1995).
    [Crossref]
  7. W, H. Kye, D. S. Lee, S. Rim, C. M. Kim, and Y. J. Park, “Periodic phase synchronization in coupled chaotic oscillators,” Phys. Rev. E 68, 25201(R) (2003).
    [Crossref]
  8. D. S. Lee, W. H. Kye, S. Rim, T. Y. Kwon, and C. M. Kim, “Generalized phase synchronization in unidirectionally coupled chaotic oscillators,” Phys. Rev. E 67, 45201 (2003).
    [Crossref]
  9. R. Roy and K. S. Thornburg, “Experimental synchronization of chaotic lasers,” Phys. Rev. Lett. 72, 2009 (1994).
    [Crossref] [PubMed]
  10. K. Otsuka and R. Kawai, “Synchronization of Mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84, 3049 (2000).
    [Crossref] [PubMed]
  11. S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, “Experimental characterization of the transition to phase synchronization of chaotic CO2 laser systems,” Phys. Rev. Lett. 89, 194101 (2002).
    [Crossref] [PubMed]
  12. K. V. Volodchenko, V. N. Ivanov, S. H. Gong, M. Choi, Y. J. Park, and C. M. Kim, “Phase synchronization in coupled Nd:YAG lasers,” Opt. Lett. 26, 1406 (2001).
    [Crossref]
  13. M. Choi, K. V. volodchenko, S. Rim, W. H. Kye, C. M. Kim, Y. J. Park, and G. U. Kim, “Transition from phase synchronization to complete synchronization in mutually coupled nonidentical Nd:YAG lasers,” Opt. Lett. 28, 1013 (2003).
    [Crossref] [PubMed]
  14. D. I. Kim, D. S. Lee, Y. J. Park, G. U. Kim, and C. M. Kim, “Phase synchronization of chaotic lasers,” Opt. Express 14, 702 (2006).
    [Crossref] [PubMed]
  15. I. V. Koryukin and P. Mandel, “Two regimes of synchronization in unidirectionally coupled semiconductor lasers,” Phys. Rev. E 65, 026201 (2002).
    [Crossref]
  16. S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, “Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback,” Phys. Rev. Lett. 87, 154101 (2001).
    [Crossref] [PubMed]
  17. S. Sivaprakasam, P. S. Spencer, P. Rees, and K. A. Shore, “Transition between anticipating and lag synchronization in chaotic external-cavity laser diodes,” Opt. Lett. 27, 1250–1252 (2002).
    [Crossref]
  18. S. Boccaletti and D. L. Valladares, “Characterization of intermittent lag synchronization,” Phys. Rev. E 62, 7497 (2000).
    [Crossref]
  19. S. Rim, I. Kim, P. Kang, Y.-J. Park, and C.-M. Kim, “Routes to complete synchronization via phase synchronization in coupled nonidentical chaotic oscillators,” Phys. Rev. E 66, 015205(R) (2002).
    [Crossref]
  20. J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E 49, 1140 (1994).
    [Crossref]
  21. M. Zhan, G. W. Wei, and C.-H. Lai, “Transition from Intermittency to periodicity in lag synchronization in coupled Rösler oscillators,” Phys. Rev. E 65, 036202 (2002).
    [Crossref]

2006 (1)

2003 (3)

W, H. Kye, D. S. Lee, S. Rim, C. M. Kim, and Y. J. Park, “Periodic phase synchronization in coupled chaotic oscillators,” Phys. Rev. E 68, 25201(R) (2003).
[Crossref]

D. S. Lee, W. H. Kye, S. Rim, T. Y. Kwon, and C. M. Kim, “Generalized phase synchronization in unidirectionally coupled chaotic oscillators,” Phys. Rev. E 67, 45201 (2003).
[Crossref]

M. Choi, K. V. volodchenko, S. Rim, W. H. Kye, C. M. Kim, Y. J. Park, and G. U. Kim, “Transition from phase synchronization to complete synchronization in mutually coupled nonidentical Nd:YAG lasers,” Opt. Lett. 28, 1013 (2003).
[Crossref] [PubMed]

2002 (6)

M. Zhan, G. W. Wei, and C.-H. Lai, “Transition from Intermittency to periodicity in lag synchronization in coupled Rösler oscillators,” Phys. Rev. E 65, 036202 (2002).
[Crossref]

S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladres, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Rep. 366, 1 (2002).
[Crossref]

I. V. Koryukin and P. Mandel, “Two regimes of synchronization in unidirectionally coupled semiconductor lasers,” Phys. Rev. E 65, 026201 (2002).
[Crossref]

S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, “Experimental characterization of the transition to phase synchronization of chaotic CO2 laser systems,” Phys. Rev. Lett. 89, 194101 (2002).
[Crossref] [PubMed]

S. Sivaprakasam, P. S. Spencer, P. Rees, and K. A. Shore, “Transition between anticipating and lag synchronization in chaotic external-cavity laser diodes,” Opt. Lett. 27, 1250–1252 (2002).
[Crossref]

S. Rim, I. Kim, P. Kang, Y.-J. Park, and C.-M. Kim, “Routes to complete synchronization via phase synchronization in coupled nonidentical chaotic oscillators,” Phys. Rev. E 66, 015205(R) (2002).
[Crossref]

2001 (2)

K. V. Volodchenko, V. N. Ivanov, S. H. Gong, M. Choi, Y. J. Park, and C. M. Kim, “Phase synchronization in coupled Nd:YAG lasers,” Opt. Lett. 26, 1406 (2001).
[Crossref]

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, “Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback,” Phys. Rev. Lett. 87, 154101 (2001).
[Crossref] [PubMed]

2000 (2)

S. Boccaletti and D. L. Valladares, “Characterization of intermittent lag synchronization,” Phys. Rev. E 62, 7497 (2000).
[Crossref]

K. Otsuka and R. Kawai, “Synchronization of Mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84, 3049 (2000).
[Crossref] [PubMed]

1997 (1)

M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “From phase to lag synchronization in coupled chaotic oscillators,” Phys. Rev. Lett. 78, 4193 (1997).
[Crossref]

1996 (1)

M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “Phase synchronization of chaotic oscillators,” Phys. Rev. Lett. 76, 1804 (1996).
[Crossref] [PubMed]

1995 (1)

N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarhanel, “Generalized synchronization of chaos in directionally coupled chaotic systems,” Phys. Rev. E 51, 980 (1995).
[Crossref]

1994 (2)

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

J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E 49, 1140 (1994).
[Crossref]

1990 (1)

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

Abarhanel, H. D. I.

N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarhanel, “Generalized synchronization of chaos in directionally coupled chaotic systems,” Phys. Rev. E 51, 980 (1995).
[Crossref]

Allaria, E.

S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, “Experimental characterization of the transition to phase synchronization of chaotic CO2 laser systems,” Phys. Rev. Lett. 89, 194101 (2002).
[Crossref] [PubMed]

Arecchi, F. T.

S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, “Experimental characterization of the transition to phase synchronization of chaotic CO2 laser systems,” Phys. Rev. Lett. 89, 194101 (2002).
[Crossref] [PubMed]

Boccaletti, S.

S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, “Experimental characterization of the transition to phase synchronization of chaotic CO2 laser systems,” Phys. Rev. Lett. 89, 194101 (2002).
[Crossref] [PubMed]

S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladres, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Rep. 366, 1 (2002).
[Crossref]

S. Boccaletti and D. L. Valladares, “Characterization of intermittent lag synchronization,” Phys. Rev. E 62, 7497 (2000).
[Crossref]

Carrol, T. L.

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

Choi, M.

Gong, S. H.

Hammel, S. M.

J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E 49, 1140 (1994).
[Crossref]

Heagy, J. F.

J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E 49, 1140 (1994).
[Crossref]

Ivanov, V. N.

Kang, P.

S. Rim, I. Kim, P. Kang, Y.-J. Park, and C.-M. Kim, “Routes to complete synchronization via phase synchronization in coupled nonidentical chaotic oscillators,” Phys. Rev. E 66, 015205(R) (2002).
[Crossref]

Kawai, R.

K. Otsuka and R. Kawai, “Synchronization of Mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84, 3049 (2000).
[Crossref] [PubMed]

Kim, C. M.

Kim, C.-M.

S. Rim, I. Kim, P. Kang, Y.-J. Park, and C.-M. Kim, “Routes to complete synchronization via phase synchronization in coupled nonidentical chaotic oscillators,” Phys. Rev. E 66, 015205(R) (2002).
[Crossref]

Kim, D. I.

Kim, G. U.

Kim, I.

S. Rim, I. Kim, P. Kang, Y.-J. Park, and C.-M. Kim, “Routes to complete synchronization via phase synchronization in coupled nonidentical chaotic oscillators,” Phys. Rev. E 66, 015205(R) (2002).
[Crossref]

Koryukin, I. V.

I. V. Koryukin and P. Mandel, “Two regimes of synchronization in unidirectionally coupled semiconductor lasers,” Phys. Rev. E 65, 026201 (2002).
[Crossref]

Kurths, J.

S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladres, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Rep. 366, 1 (2002).
[Crossref]

M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “From phase to lag synchronization in coupled chaotic oscillators,” Phys. Rev. Lett. 78, 4193 (1997).
[Crossref]

M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “Phase synchronization of chaotic oscillators,” Phys. Rev. Lett. 76, 1804 (1996).
[Crossref] [PubMed]

A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: a universal concept in nonlinear sciences (Cambridge, Cambridge univ. press, 2001).
[Crossref]

Kwon, T. Y.

D. S. Lee, W. H. Kye, S. Rim, T. Y. Kwon, and C. M. Kim, “Generalized phase synchronization in unidirectionally coupled chaotic oscillators,” Phys. Rev. E 67, 45201 (2003).
[Crossref]

Kye, W, H.

W, H. Kye, D. S. Lee, S. Rim, C. M. Kim, and Y. J. Park, “Periodic phase synchronization in coupled chaotic oscillators,” Phys. Rev. E 68, 25201(R) (2003).
[Crossref]

Kye, W. H.

D. S. Lee, W. H. Kye, S. Rim, T. Y. Kwon, and C. M. Kim, “Generalized phase synchronization in unidirectionally coupled chaotic oscillators,” Phys. Rev. E 67, 45201 (2003).
[Crossref]

M. Choi, K. V. volodchenko, S. Rim, W. H. Kye, C. M. Kim, Y. J. Park, and G. U. Kim, “Transition from phase synchronization to complete synchronization in mutually coupled nonidentical Nd:YAG lasers,” Opt. Lett. 28, 1013 (2003).
[Crossref] [PubMed]

Lai, C.-H.

M. Zhan, G. W. Wei, and C.-H. Lai, “Transition from Intermittency to periodicity in lag synchronization in coupled Rösler oscillators,” Phys. Rev. E 65, 036202 (2002).
[Crossref]

Lee, D. S.

D. I. Kim, D. S. Lee, Y. J. Park, G. U. Kim, and C. M. Kim, “Phase synchronization of chaotic lasers,” Opt. Express 14, 702 (2006).
[Crossref] [PubMed]

D. S. Lee, W. H. Kye, S. Rim, T. Y. Kwon, and C. M. Kim, “Generalized phase synchronization in unidirectionally coupled chaotic oscillators,” Phys. Rev. E 67, 45201 (2003).
[Crossref]

W, H. Kye, D. S. Lee, S. Rim, C. M. Kim, and Y. J. Park, “Periodic phase synchronization in coupled chaotic oscillators,” Phys. Rev. E 68, 25201(R) (2003).
[Crossref]

Mandel, P.

I. V. Koryukin and P. Mandel, “Two regimes of synchronization in unidirectionally coupled semiconductor lasers,” Phys. Rev. E 65, 026201 (2002).
[Crossref]

Meucci, R.

S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, “Experimental characterization of the transition to phase synchronization of chaotic CO2 laser systems,” Phys. Rev. Lett. 89, 194101 (2002).
[Crossref] [PubMed]

Osipov, G.

S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladres, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Rep. 366, 1 (2002).
[Crossref]

Otsuka, K.

K. Otsuka and R. Kawai, “Synchronization of Mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84, 3049 (2000).
[Crossref] [PubMed]

Park, Y. J.

Park, Y.-J.

S. Rim, I. Kim, P. Kang, Y.-J. Park, and C.-M. Kim, “Routes to complete synchronization via phase synchronization in coupled nonidentical chaotic oscillators,” Phys. Rev. E 66, 015205(R) (2002).
[Crossref]

Pecora, L. M.

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

Pikovsky, A.

A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: a universal concept in nonlinear sciences (Cambridge, Cambridge univ. press, 2001).
[Crossref]

Pikovsky, A. S.

M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “From phase to lag synchronization in coupled chaotic oscillators,” Phys. Rev. Lett. 78, 4193 (1997).
[Crossref]

M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “Phase synchronization of chaotic oscillators,” Phys. Rev. Lett. 76, 1804 (1996).
[Crossref] [PubMed]

Platt, N.

J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E 49, 1140 (1994).
[Crossref]

Rees, P.

Rim, S.

M. Choi, K. V. volodchenko, S. Rim, W. H. Kye, C. M. Kim, Y. J. Park, and G. U. Kim, “Transition from phase synchronization to complete synchronization in mutually coupled nonidentical Nd:YAG lasers,” Opt. Lett. 28, 1013 (2003).
[Crossref] [PubMed]

W, H. Kye, D. S. Lee, S. Rim, C. M. Kim, and Y. J. Park, “Periodic phase synchronization in coupled chaotic oscillators,” Phys. Rev. E 68, 25201(R) (2003).
[Crossref]

D. S. Lee, W. H. Kye, S. Rim, T. Y. Kwon, and C. M. Kim, “Generalized phase synchronization in unidirectionally coupled chaotic oscillators,” Phys. Rev. E 67, 45201 (2003).
[Crossref]

S. Rim, I. Kim, P. Kang, Y.-J. Park, and C.-M. Kim, “Routes to complete synchronization via phase synchronization in coupled nonidentical chaotic oscillators,” Phys. Rev. E 66, 015205(R) (2002).
[Crossref]

Rosenblum, M.

A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: a universal concept in nonlinear sciences (Cambridge, Cambridge univ. press, 2001).
[Crossref]

Rosenblum, M. G.

M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “From phase to lag synchronization in coupled chaotic oscillators,” Phys. Rev. Lett. 78, 4193 (1997).
[Crossref]

M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “Phase synchronization of chaotic oscillators,” Phys. Rev. Lett. 76, 1804 (1996).
[Crossref] [PubMed]

Roy, R.

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

Rulkov, N. F.

N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarhanel, “Generalized synchronization of chaos in directionally coupled chaotic systems,” Phys. Rev. E 51, 980 (1995).
[Crossref]

Shahverdiev, E. M.

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, “Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback,” Phys. Rev. Lett. 87, 154101 (2001).
[Crossref] [PubMed]

Shore, K. A.

S. Sivaprakasam, P. S. Spencer, P. Rees, and K. A. Shore, “Transition between anticipating and lag synchronization in chaotic external-cavity laser diodes,” Opt. Lett. 27, 1250–1252 (2002).
[Crossref]

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, “Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback,” Phys. Rev. Lett. 87, 154101 (2001).
[Crossref] [PubMed]

Sivaprakasam, S.

S. Sivaprakasam, P. S. Spencer, P. Rees, and K. A. Shore, “Transition between anticipating and lag synchronization in chaotic external-cavity laser diodes,” Opt. Lett. 27, 1250–1252 (2002).
[Crossref]

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, “Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback,” Phys. Rev. Lett. 87, 154101 (2001).
[Crossref] [PubMed]

Spencer, P. S.

S. Sivaprakasam, P. S. Spencer, P. Rees, and K. A. Shore, “Transition between anticipating and lag synchronization in chaotic external-cavity laser diodes,” Opt. Lett. 27, 1250–1252 (2002).
[Crossref]

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, “Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback,” Phys. Rev. Lett. 87, 154101 (2001).
[Crossref] [PubMed]

Sushchik, M. M.

N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarhanel, “Generalized synchronization of chaos in directionally coupled chaotic systems,” Phys. Rev. E 51, 980 (1995).
[Crossref]

Thornburg, K. S.

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

Tsimring, L. S.

N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarhanel, “Generalized synchronization of chaos in directionally coupled chaotic systems,” Phys. Rev. E 51, 980 (1995).
[Crossref]

Valladares, D. L.

S. Boccaletti and D. L. Valladares, “Characterization of intermittent lag synchronization,” Phys. Rev. E 62, 7497 (2000).
[Crossref]

Valladres, D. L.

S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladres, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Rep. 366, 1 (2002).
[Crossref]

volodchenko, K. V.

Wei, G. W.

M. Zhan, G. W. Wei, and C.-H. Lai, “Transition from Intermittency to periodicity in lag synchronization in coupled Rösler oscillators,” Phys. Rev. E 65, 036202 (2002).
[Crossref]

Zhan, M.

M. Zhan, G. W. Wei, and C.-H. Lai, “Transition from Intermittency to periodicity in lag synchronization in coupled Rösler oscillators,” Phys. Rev. E 65, 036202 (2002).
[Crossref]

Zhou, C. S.

S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladres, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Rep. 366, 1 (2002).
[Crossref]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rep. (1)

S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladres, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Rep. 366, 1 (2002).
[Crossref]

Phys. Rev. E (8)

N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarhanel, “Generalized synchronization of chaos in directionally coupled chaotic systems,” Phys. Rev. E 51, 980 (1995).
[Crossref]

W, H. Kye, D. S. Lee, S. Rim, C. M. Kim, and Y. J. Park, “Periodic phase synchronization in coupled chaotic oscillators,” Phys. Rev. E 68, 25201(R) (2003).
[Crossref]

D. S. Lee, W. H. Kye, S. Rim, T. Y. Kwon, and C. M. Kim, “Generalized phase synchronization in unidirectionally coupled chaotic oscillators,” Phys. Rev. E 67, 45201 (2003).
[Crossref]

I. V. Koryukin and P. Mandel, “Two regimes of synchronization in unidirectionally coupled semiconductor lasers,” Phys. Rev. E 65, 026201 (2002).
[Crossref]

S. Boccaletti and D. L. Valladares, “Characterization of intermittent lag synchronization,” Phys. Rev. E 62, 7497 (2000).
[Crossref]

S. Rim, I. Kim, P. Kang, Y.-J. Park, and C.-M. Kim, “Routes to complete synchronization via phase synchronization in coupled nonidentical chaotic oscillators,” Phys. Rev. E 66, 015205(R) (2002).
[Crossref]

J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E 49, 1140 (1994).
[Crossref]

M. Zhan, G. W. Wei, and C.-H. Lai, “Transition from Intermittency to periodicity in lag synchronization in coupled Rösler oscillators,” Phys. Rev. E 65, 036202 (2002).
[Crossref]

Phys. Rev. Lett. (7)

S. Sivaprakasam, E. M. Shahverdiev, P. S. Spencer, and K. A. Shore, “Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback,” Phys. Rev. Lett. 87, 154101 (2001).
[Crossref] [PubMed]

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

K. Otsuka and R. Kawai, “Synchronization of Mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84, 3049 (2000).
[Crossref] [PubMed]

S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, “Experimental characterization of the transition to phase synchronization of chaotic CO2 laser systems,” Phys. Rev. Lett. 89, 194101 (2002).
[Crossref] [PubMed]

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

M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “Phase synchronization of chaotic oscillators,” Phys. Rev. Lett. 76, 1804 (1996).
[Crossref] [PubMed]

M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “From phase to lag synchronization in coupled chaotic oscillators,” Phys. Rev. Lett. 78, 4193 (1997).
[Crossref]

Other (1)

A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: a universal concept in nonlinear sciences (Cambridge, Cambridge univ. press, 2001).
[Crossref]

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Figures (6)

Fig. 1.
Fig. 1. Schematic diagram of the experimental setup in two coupled diode laser pumped Nd:YAG lasers. CL1 and CL2 are collimating lenses, M1 and M2 output couplers, F1 and F2 1064nm optical band-pass filters, and PD1 and PD2 photo diodes.
Fig. 2.
Fig. 2. Temporal behavior of the two laser outputs when the coupling strength is ε = 0.7, where (a) is I 1(t) and (b) I 2(t).
Fig. 3.
Fig. 3. The similarity function (a) and the correlation function (b) of two laser outputs at ε= 0.7, where τL = 12.04 μs as shown the arrow in (b).
Fig. 4.
Fig. 4. Phase diagram for lag synchronization at ε = 0.7. (a) is for τ = 0.0 and (b) for τ= 12.04 μs.
Fig. 5.
Fig. 5. Temporal behavior of the difference of the two signals, I 2(t +τL ) - I 1(t) at (a) ε= 0.65 and (b) ε= 0.7, where τL = 12.04 μs is the lag time obtained from the similarity function.
Fig. 6.
Fig. 6. Probability distribution of laminar phase for intermittent lag synchronization state at ε = 0.65.

Equations (1)

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S 2 (τ)= <| I 2 (t+τ) I 1 (t) ] 2 > [< I 1 2 (t)>< I 2 2 (t)>] 1/2 .

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