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  • 标题:Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua’s system
  • 本地全文:下载
  • 作者:Junze Li ; Yebei Liu ; Zhouchao Wei
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:141
  • DOI:10.1186/s13662-018-1597-8
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 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.
  • 关键词:Chua’s circuit system ; Zero-Hopf bifurcation ; Classical Hopf bifurcation ; Periodic solution
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