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Prog. Theor. Phys. Vol. 119 No. 2 (2008) pp. 223-235

[ Full Text PDF : FREE ACCESS (409K) ]

Stochastic Model of Chaotic Phase Synchronization. II

Takehiko Horita,1 Katsuya Ouchi,2 Tomoji Yamada3 and Hirokazu Fujisaka4

1Department of Mathematical Sciences, Osaka Prefecture University,
Sakai 599-8531, Japan
2Kobe Design University, Kobe 651-2196, Japan
3KIT Senior Academy, Meisen-kai, Ichieda 1-3-60, Tobata,
Kitakyushu 804-0024, Japan
4Department of Applied Analysis and Complex Dynamical Systems,
Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan

(Received November 26, 2007)

Abstract:

A stochastic model of chaotic phase synchronization (CPS) introduced in a previous paper is analyzed using approximate methods in two ways that differ from those employed in the previous paper. The rotation number and the diffusion constant of the phase difference are formulated with a stochastic model for the phase slips based on an adiabatic approximation and a scaling analysis employing a Gaussian white noise approximation in the limit of a short correlation time of the noise term. Moreover, the asymmetric peak of the phase diffusion constant due to critical enhancement of chaotic fluctuations is considered. Through these analyses, characteristic properties of the CPS transition are elucidated.


URL : http://ptp.ipap.jp/link?PTP/119/223/
DOI : 10.1143/PTP.119.223

[ Full Text PDF : FREE ACCESS (409K) ] Citation:

References:

  1. See e.g., A. Pikovsky, M. Rosenblum and J. Kurths, Synchronization (Cambridge Univ. Press, Cambridge, 2001).
  2. M. G. Rosenblum, A. S. Pikovsky and J. Kurths, Phys. Rev. Lett. 76 (1996), 1804[APS].
  3. A. Pikovsky, G. Osipov, M. Rosenblum, M. Zaks and J. Kurths, Phys. Rev. Lett. 79 (1997), 47[APS].
  4. E. Rosa, Jr., E. Ott and M. H. Hess, Phys. Rev. Lett. 80 (1998), 1642[APS].
  5. K. J. Lee, Y. Kwak and T. K. Lim, Phys. Rev. Lett. 81 (1998), 321[APS].
  6. S. Boccaletti, E. Allaria, R. Meucci and F. T. Arecchi, Phys. Rev. Lett. 89 (2002), 194101[APS].
  7. W.-H. Kye, D.-S. Lee, S. Rim, C.-M. Kim and Y.-J. Park, Phys. Rev. E 68 (2002), 025201[APS](R).
  8. T. Horita, T. Yamada and H. Fujisaka, Prog. Theor. Phys. Suppl. No. 161 (2006), 199[PTP].
  9. T. Yamada, T. Horita, K. Ouchi and H. Fujisaka, Prog. Theor. Phys. 116 (2006), 819[PTP].
  10. D. Pazó, I. P. Mariño, V. Pérez-Villar and V. Pérez-Muñuzuri, Int. J. Bifurcation and Chaos 10 (2000), 2533.
  11. H. Fujisaka, Prog. Theor. Phys. 114 (2005), 1[PTP].
  12. H. Fujisaka, T. Yamada, G. Kinoshita and T. Kono, Physica D 205 (2005), 41[CrossRef].
  13. T. Kono, G. Kinoshita, H. Fujisaka, S. Uchiyama and T. Yamada, Prog. Theor. Phys. Suppl. No. 161 (2006), 240[PTP].
  14. K. Kitahara, W. Horsthemke and R. Lefever, Phys. Lett. A 70 (1979), 377[CrossRef].
    K. Kitahara, W. Horsthemke, R. Lefever and Y. Inaba, Prog. Theor. Phys. 64 (1980), 1233[PTP].
  15. K. Ouchi, T. Horita and H. Fujisaka, Phys. Rev. E 74 (2006), 031106[APS].
  16. H. A. Kramers, Physica 7 (1940), 284[CrossRef].
  17. W.-H. Kye and C.-M. Kim, Phys. Rev. E 62 (2000), 6304[APS].
    A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, A. A. Ovchinnikov and S. Boccaletti, Phys. Rev. E 76 (2007), 026206[APS].
  18. J. E. Hirsch, B. A. Huberman and D. J. Scalapino, Phys. Rev. A 25 (1982), 519[APS].
    B. Hu and J. Rudnick, Phys. Rev. Lett. 48 (1982), 1645[APS].

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