Forma, Vol. 25 (No. 1), pp. 1-10, 2010
Original Paper

Complex Basin Structure and Parameter-Mismatch Induced Intermittency in Discrete-Time Coupled Chaotic Rotors

Kai Morino and Syuji Miyazaki*

Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan
*E-mail address:

(Received February 24, 2010; Accepted May 12, 2010)

Abstract. Various synchronizations and related phenomena in discrete-time coupled chaotic rotors are studied by use of numerical simulations. There exist multiple attractors with different long-time averages of the phase difference. Self-similar and complex structures of the basin in the phase space are observed. The relaxation times to attractors of the complete chaos synchronization and the generalized synchronization for the unidirectionally coupled systems are found to depend on the initial conditions in a self-similar way. Similar statistics are obtained for the first passage time of the parameter-mismatch induced intermittency. Large deviation statistics of this intermittency are numerically obtained.

Keywords: Chaos Synchronization, Phase Space, Basin of Attraction, Relaxation Time, Large Deviation

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