PHASE SYNCHRONIZATION IN COUPLED CHAOTIC SYSTEMS：TRANSITIONS FROM HIGH-TO LOW-D IMENSIONAL CHAOS

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Abstract
Phase synchronization in coupled chaotic systems is an interesting topic in recent years on nonlinear dynamics. Phase synchronization implies an ordered behavio r embedded in chaotic motions. Recent progress on phase synchronizations is revi ewed.The synchronization process is exhibited by applying the bifurcation tree.T he synchronization process is identified as transitions from high-to low-dimensional chaos.An alternative phase locking among various rational ratios is found. Chaos suppression and the restoration to chaos synchronization via period-doubli ng is studied.It is found that asymmetric coupling can greatly enhance the phase synchronization of coupled oscillators.

Keywords:
phyase synchronization /

bifurcation tree /

Lyapunov exponents
Authors and contacts
ZHENG ZHI-GANG²,

HU GANG¹,

ZHOU CHANG-SONG³,

HU BAM-BI⁴

(1)北京师范大学物理系，北京 100875; (2)北京师范大学物理系，北京 100875；香港浸会大学物理系及非线性研究中心，中国香港; (3)香港浸会大学物理系及非线性研究中心，中国香港; (4)香港浸会大学物理系及非线性研究中心，中国香港；休斯顿大学物理系，Taxes 77204，美国
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