Transition to Phase Synchronization Through Generalized Synchronization

Chin. Phys. Lett.

2003, Vol. 20

Issue (7): 999-1002 DOI:

Original Articles

Transition to Phase Synchronization Through Generalized Synchronization

GAO Jian¹;ZHENG Zhi-Gang¹;HE Dai-Hai²;ZHANG Ting-Xian^1,3

¹Department of Physics, Beijing Normal University, Beijing 100875 ²Department of Mathematics and Statistics, McMaster University, Hamilton L8S4K1, Canada ³Department of Physics, Qujing Normal College, Qujing 655000

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GAO Jian, ZHENG Zhi-Gang, HE Dai-Hai et al 2003 Chin. Phys. Lett. 20 999-1002

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Abstract Synchronization in drive-response chaotic systems is studied. For a small mismatch of the natural frequency of the drive and response oscillators, phase synchronization comes before generalized synchronization. For moderate and even large parameter misfits, generalized synchronization can be achieved before phase synchronization. The mechanism of these two different bifurcations is interpreted in terms of the local-minimal-fluctuation method. It is found that the qualitative changes of local-minimal-fluctuations of the response system well manifests the appearance of generalized synchronization.

Keywords: 05.45.-a 87.10.+e

Published: 01 July 2003

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	87.10.+e

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2003/V20/I7/0999

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