A Note on Phase Coherence of Chaotic Sets

被引：0
|
作者：
Yang, Xiao-Song [1 ]
Wu, Tiantian [2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2016年 / 26卷 / 14期
基金：
中国国家自然科学基金;
关键词：
Phase coherence; chaotic sets; homoclinic orbit; heteroclinic cycle; dynamical systems; TOPOLOGICAL HORSESHOES;
D O I：
10.1142/S0218127416502436
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The phase coherence phenomenon of chaotic motion is unique to continuous time dynamical systems and of significance in many disciplines such as nonlinear physics and biology. In this paper, we present a geometric description of phase coherence of chaotic motion and show that chaotic sets near a homoclinic orbit or heteroclinic cycle are phase coherent in this geometric setting under a mild condition.
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页数：14
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