SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION

被引：2

作者：

Clerc, Marcel G. ^{[1
]}

Encina, Pablo C. ^{[2
]}

Tirapegui, Enrique ^{[1
]}

机构：

[1] Univ Chile, Fac Ciencias Fis & Matemat, Dept Fis, Santiago, Chile

[2] Univ Chile, Fac Ciencias, Dept Fis, Santiago, Chile

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 07期

关键词：

Bifurcation theory; instabilities; chaos;

D O I：

10.1142/S0218127408021440

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generic stationary instability that arises in quasi-reversible systems is studied. It is characterized by the confluence of three eigenvalues at the origin of complex plane with only one eigenfunction. We characterize the dynamics through the normal form that exhibits in particular, Shilnikov chaos, for which we give an analytical prediction. We construct a simple mechanical system, Shilnikov particle, which exhibits this quasi-reversal instability and displays its chaotic behavior.

引用

页码：1905 / 1915

页数：11

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