Loss of chaos synchronization through the sequence of bifurcations of saddle periodic orbits

被引：71

作者：

Astakhov, V ^{[1
]}

Shabunin, A ^{[1
]}

Kapitaniak, T ^{[1
]}

Anishchenko, V ^{[1
]}

机构：

[1] TECH UNIV LODZ, DIV DYNAM, PL-90924 LODZ, POLAND

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 79卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.79.1014

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the work we investigate the bifurcational mechanism of the loss of stability of the synchronous chaotic regime in coupled identical systems. We show that loss of synchronization is a result of the sequence of soft bifurcations of saddle periodic orbits which induce the bubbling and riddling transitions in the system. A bifurcation of a saddle periodic orbit embedded in the chaotic attractor determines the bubbling transition. The phenomenon of riddled basins occurs through a bifurcation of a periodic orbit located outside the symmetric subspace.

引用

页码：1014 / 1017

页数：4

共 26 条

[1]

Afraimovich V. S., 1986, Radiophysics and Quantum Electronics, V29, P795, DOI 10.1007/BF01034476

[2] RIDDLED BASINS [J].