Characterizing the phase synchronization transition of chaotic oscillators

被引：4
|
作者：
Ouchi, Katsuya [1 ]
Horita, Takehiko [2 ]
Yamada, Tomoji [3 ]
机构：
[1] Kobe Design Univ, Kobe, Hyogo 6512196, Japan
[2] Osaka Prefecture Univ, Dept Math Sci, Osaka 5998531, Japan
[3] KIT Senior Acad, Kitakyushu, Fukuoka 8040015, Japan
来源：
PHYSICAL REVIEW E | 2011年 / 83卷 / 04期
关键词：
D O I：
10.1103/PhysRevE.83.046202
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The chaotic phase synchronization transition is studied in connection with the zero Lyapunov exponent. We propose a hypothesis that it is associated with a switching of the maximal finite-time zero Lyapunov exponent, which is introduced in the framework of a large deviation analysis. A noisy sine circle map is investigated to introduce this hypothesis and it is tested in an unidirectionally coupled Rossler system by using the covariant Lyapunov vector associated with the zero Lyapunov exponent.
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页数：5
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