Analysis of the fast-slow Lorenz-Stenflo system

被引：7

作者：

Han Xiu-Jing ^{[1
]}

Jiang Bo ^{[1
,2
]}

Bi Qin-Sheng ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China

[2] Jiangsu Teachers Univ Technol, Sch Math & Phys, Changzhou 213001, Peoples R China

来源：

ACTA PHYSICA SINICA | 2009年 / 58卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Lorenz-Stenflo system; slow-fast analysis; bifurcation; symmetric bursting; EQUATIONS; ATTRACTOR;

D O I：

10.7498/aps.58.4408

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By rescaling the system, we obtain the Lorenz-Stenflo system with slow variation of the flow rotation. Based on Routh-Hurwitz criteria, the stabilities of the equilibria are analyzed and the bifurcation sets are sought to divide the parameter plane into different regions, corresponding to different types of the solutions. Different types of the solutions may bifurcate from the equilibria with the chang of the parameters. Furthermore, the symmetric bursting and the symmetric chaos are presented, and the mechanism of the symmetric bursting is explored by the method of slow-fast analysis.

引用

页码：4408 / 4414

页数：7

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