Title
Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System
Abstract
This article first studies the stability conditions of a Chua system depending on six parameters. After, using the averaging method, as well as the methods of the Grobner basis and real solution classification, we provide sufficient conditions for the existence of three limit cycles bifurcating from a zero-Hopf equilibrium of the Chua system. As we know, this last phenomena is first found. Some examples are presented to verify the established results.
Year
DOI
Venue
2022
10.3390/sym14051036
SYMMETRY-BASEL
Keywords
DocType
Volume
averaging method, limit cycle, symbolic computation, zero-Hopf bifurcation
Journal
14
Issue
ISSN
Citations 
5
2073-8994
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Bo Huang102.70
Wei Niu201.01
Shaofen Xie300.34