Applied Mathematics and Mechanics

, Volume 36, Issue 12, pp 1639–1650 | Cite as

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

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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.

Keywords

modified Chua’s circuit boundary equilibrium point stability bifurcation 

Chinese Library Classification

O361.3 

2010 Mathematics Subject Classification

34F10 39A28 
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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsZhengzhou UniversityZhengzhouChina
  2. 2.Department of BiologyUniversity of MarylandCollege ParkUSA
  3. 3.Department of Dynamics and ControlBeihang UniversityBeijingChina

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