Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua's system

被引：11

作者：

Li, Junze ^{[1
]}

Liu, Yebei ^{[1
]}

Wei, Zhouchao ^{[1
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan, Hubei, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

关键词：

Chua's circuit system; Zero-Hopf bifurcation; Classical Hopf bifurcation; Periodic solution; UNIVERSAL CIRCUIT; DIFFERENTIAL-SYSTEMS; CHAOTIC PHENOMENA; GENERATING CHAOS; SYNCHRONIZATION; ATTRACTORS; EQUATION;

D O I：

10.1186/s13662-018-1597-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the fact that Chua's system is a classic model system of electronic circuits, we first present modified Chua's system with a smooth nonlinearity, described by a cubic polynomial in this paper. Then, we explore the distribution of the equilibrium points of the modified Chua circuit system. By using the averaging theory, we consider zero-Hopf bifurcation of the modified Chua system. Moreover, the existence of periodic solutions in the modified Chua system is derived from the classical Hopf bifurcation theorem.

引用

页数：17

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