Stability and boundary equilibrium bifurcations of modified Chua’s circuit with smooth degree of 3

Shihui Fu, Xiangying Meng, Qishao Lu

Research output: Contribution to journalArticlepeer-review

Abstract

Chua’s circuit is a well-known nonlinear electronic model, having complicated nonsmooth dynamic behaviors. The stability and boundary equilibrium bifurcations for a modified Chua’s circuit system with the smooth degree of 3 are studied. The parametric areas of stability are specified in detail. It is found that the bifurcation graphs of the supercritical and irregular pitchfork bifurcations are similar to those of the piecewise-smooth continuous (PWSC) systems caused by piecewise smoothness. However, the bifurcation graph of the supercritical Hopf bifurcation is similar to those of smooth systems. Therefore, the boundary equilibrium bifurcations of the non-smooth systems with the smooth degree of 3 should receive more attention due to their special features.

Original languageEnglish (US)
Pages (from-to)1639-1650
Number of pages12
JournalApplied Mathematics and Mechanics (English Edition)
Volume36
Issue number12
DOIs
StatePublished - Dec 1 2015
Externally publishedYes

Keywords

  • bifurcation
  • boundary equilibrium point
  • modified Chua’s circuit
  • stability

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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