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Intermittent lag synchronization in a driven system of coupled oscillators

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Abstract

We study intermittent lag synchronization in a system of two identical mutually coupled Duffing oscillators with parametric modulation in one of them. This phenomenon in a periodically forced system can be seen as intermittent jump from phase to lag synchronization, during which the chaotic trajectory visits a periodic orbit closely. We demonstrate different types of intermittent lag synchronizations, that occur in the vicinity of saddle-node bifurcations where the system changes its dynamical state, and characterize the simplest case of period-one intermittent lag synchronization.

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References

  1. A Pikovsky, M Rosenblum and J Kurths,Synchronization: A universal concept in nonlinear science (Cambridge University Press, New York, 2001)

    MATH  Google Scholar 

  2. S Boccaletti, J Kurths, G Osipov, D L Valladares and C Zhou,Phys. Rep. 366, 1 (2002)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. H Fujisaka and T Yamada,Prog. Theor. Phys. 69, 32 (1983)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. N F Rulkov, M M Sushchik, L S Tsimring and H D I Abarbanel,Phys. Rev. E51, 980 (1995)

    ADS  Google Scholar 

  5. M G Rosenblum, A S Pikovsky and J Kurths,Phys. Rev. Lett. 76, 1804 (1996)

    Article  ADS  Google Scholar 

  6. M G Rosenblum, A S Pikovsky and J Kurths,Phys. Rev. Lett. 78, 4193(1997)

    Article  ADS  Google Scholar 

  7. A Hampton and H D Zanette,Phys. Rev. Lett. 83, 2129 (1999)

    Article  ADS  Google Scholar 

  8. R Femat and G Solis-Perales,Phys. Lett. A262, 50 (1999)

    MathSciNet  ADS  Google Scholar 

  9. H U Voss,Phys. Rev. E61, 5115 (2000)

    ADS  Google Scholar 

  10. C Schafer, M G Rosenblum, J Kurths and H H Abel,Nature (London) 392, 239 (1998)

    Article  ADS  Google Scholar 

  11. P Tass, M G Rosenblum, J Weule, J Kurths, A Pikovsky, J Volkmann, A Schnitzler and H J Freund,Phys. Rev. Lett. 81, 3291 (1998)

    Article  ADS  Google Scholar 

  12. A Neiman, X Pei, D Russell, W Wojtenek, L Wilkens, F Moss, H A Braun, M T Huber and K Voigt,Phys. Rev. Lett. 82, 660 (1999)

    Article  ADS  Google Scholar 

  13. G D Van Wiggeren and R Roy,Science 279, 1198 (1998)

    Article  ADS  Google Scholar 

  14. T Kapitaniak,Phys. Rev. E47, R2975 (1993)

    ADS  Google Scholar 

  15. P S Landa and M G Rosenblum,Appl. Mech. Rev. 46, 141 (1993)

    Article  Google Scholar 

  16. J Kozłowski, U Parlitz and W Lauterborn,Phys. Rev. E51, 1861 (1995)

    ADS  Google Scholar 

  17. A Kenfack, arXiv:nlin.CD/0304022, v.1, 14 Apr. 2003

  18. H-W Yin, J-H Dai and H-J Zhang,Phys. Rev. E58, 5683 (1998)

    ADS  Google Scholar 

  19. S Paul Raj, S Rajasekar and K Murali,Phys. Lett. A264, 283 (1999)

    ADS  Google Scholar 

  20. B F Kuntsevich and A N Pisarchik,Phys. Rev. E64, 046221 (2001)

    ADS  Google Scholar 

  21. A N Pisarchik,Phys. Lett. A318, 65 (2003)

    MathSciNet  ADS  Google Scholar 

  22. L Zhu and Y-C Lai,Phys. Rev. E64, 045205(R) (2001)

    ADS  Google Scholar 

  23. S Boccaletti and D L Valladares,Phys. Rev. E62, 7497 (2000)

    ADS  Google Scholar 

  24. E A Spiedel,Ann. NY Acad. Sci. 617, 305 (1981)

    Google Scholar 

  25. T Yamada, K Fukushima and T Yazaki,Prog. Theor. Phys. Suppl. 99, 120 (1989)

    Article  ADS  Google Scholar 

  26. P W Hammer, N Platt, S M Hammel, J F Heagy and B D Lee,Phys. Rev. Lett. 73, 1095 (1994)

    Article  ADS  Google Scholar 

  27. D L Feng, C X Yu, J L Xie and W X Ding,Phys. Rev. E58, 3678 (1998)

    ADS  Google Scholar 

  28. F Rödelsperger, A Cenys and H Benner,Phys. Rev. Lett. 75, 2594 (1995)

    Article  ADS  Google Scholar 

  29. T John, R Stannarius and U Behn,Phys. Rev. Lett. 83, 749 (1999)

    Article  ADS  Google Scholar 

  30. A N Pisarchik and V J Pinto-Robledo,Phys. Rev. E66, 027203 (2002)

    ADS  Google Scholar 

  31. Y Nagai, X-D Hua and Y-C Lai,Phys. Rev. E54, 1190 (1996)

    ADS  Google Scholar 

  32. R J Reategui and A N Pisarchik,Phys. Rev. E69, 067203 (2004)

    ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Centro de Investigaciones en Optica, Loma del Bosque 115, Lomas del Campestre, Leon, 37150, Guanajuato, Mexico

    Alexander N. Pisarchik

  2. Universidad de Guadalajara, Campus Universitario Los Lagos, Enrique Díaz de León, Paseo de Las Montañas, Lagos del Moreno, 47460, Jalisco, Mexico

    Rider Jaimes-Reátegui

Authors
  1. Alexander N. Pisarchik
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  2. Rider Jaimes-Reátegui
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Pisarchik, A.N., Jaimes-Reátegui, R. Intermittent lag synchronization in a driven system of coupled oscillators. Pramana - J Phys 64, 503–511 (2005). https://doi.org/10.1007/BF02706198

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