Chaos prediction in the Duffing-type system with non-smooth periodic perturbation and bounded parametric excitation

被引：5

作者：

Niu Yu-Jun ^{[1
]}

Xu Wei ^{[1
]}

Rong Hai-Wu ^{[2
]}

Wang Liang ^{[1
]}

Feng Jin-Qian ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Sch Sci, Xian 710072, Peoples R China

[2] Fushan Univ, Sch Sci, Fushan 528000, Peoples R China

来源：

ACTA PHYSICA SINICA | 2008年 / 57卷 / 12期

关键词：

non-smooth dynamics; bounded noise; stochastic Melnikov function; maximal Lyapunov exponents;

D O I：

10.7498/aps.57.7535

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the dynamics of Duffing-type system with non-smooth periodic perturbation and bounded noise was studied. The theory of Fourier series was used in this system to deal with the non-smooth character for the first time. The analytical condition for the appearance of chaos was given using stochastic Melnikov method. The numerical simulations confirm the validity of this method.

引用

页码：7535 / 7540

页数：6

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