Controlling hyperchaos

被引：63

作者：

Yang, L

Liu, ZR

Mao, JM ^{[1
]}

机构：

[1] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Peoples R China

[2] Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China

[3] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China

[4] Shanghai Univ, Dept Math, Shanghai 201800, Peoples R China

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 84卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.84.67

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For a finite-dimensional dynamical system, whose governing equations may or may not be analytically available, we show how to stabilize an unstable orbit in a neighborhood of a "fully"unstable fixed point (i.e., a fixed point at which all eigenvalues of the Jacobian matrix have modulus greater than unity). Only one of the unstable directions is to be stabilized via time-dependent adjustments of control parameters. The parameter adjustments can be optimized.

引用

收藏

页码：67 / 70

页数：4

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