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Prog. Theor. Phys. Supplement No.161 (2006) pp. 240-243

[ Full Text PDF : FREE ACCESS (217K) ]

Phase Diffusion in Chaotic Oscillators System

Toshiaki Kono,1,* Go Kinoshita,1,** Hirokazu Fujisaka,1,*** Satoki Uchiyama2,**** and Tomoji Yamada3,*****

1Department of Applied Analysis and Complex Dynamical Systems,
Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan
2Department of Artificial Complex System Engineering,
Hiroshima University, Higashi-Hiroshima 739-8527, Japan
3KIT Senior Academy, Meisen-kai, Kitakyushu 804-0024, Japan

(Received June 30, 2005)

Abstract:

Coupled chaotic oscillators show phase diffusion phenomenon in association with the breakdown of chaotic phase sychronization. In the present paper, the diffusion coefficient of the phase diffusion near the transition point of chaotic phase synchronization is discussed. The diffusion coefficient shows enhancement just after the desynchronization point and obeys certain scaling laws. To confirm the universality of this phenomenon, we study coupled Rössler oscillators and coupled chaotic maps recently proposed.


URL : http://ptp.ipap.jp/link?PTPS/161/240/
DOI : 10.1143/PTPS.161.240


*E-mail: t_kono@acs.i.kyoto-u.ac.jp
**E-mail: g-kino@acs.i.kyoto-u.ac.jp
***E-mail: fujisaka@i.kyoto-u.ac.jp
****E-mail: uchiyama@amath.hiroshima-u.ac.jp
*****E-mail: yama092@nifty.com

[ Full Text PDF : FREE ACCESS (217K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 116 No. 5 (2006) pp. 819-837 :
    Stochastic Model of Chaotic Phase Synchronization. I
    Tomoji Yamada, Takehiko Horita, Katsuya Ouchi and Hirokazu Fujisaka
  2. Progress of Theoretical Physics Vol. 119 No. 2 (2008) pp. 223-235 :
    Stochastic Model of Chaotic Phase Synchronization. II
    Takehiko Horita, Katsuya Ouchi, Tomoji Yamada and Hirokazu Fujisaka

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