论文信息 - A Biparametric bifurcation in 3D Continuous Piecewise Linear Systems with Two Zones: Application to Chua's Circuit

A Biparametric bifurcation in 3D Continuous Piecewise Linear Systems with Two Zones: Application to Chua's Circuit

In this paper, a possible degeneration of the focus-center-limit cycle bifurcation for piecewise smooth continuous systems is analyzed. The case of continuous piecewise linear systems with two zones is considered, and the coexistence of two limit cycles for certain values of parameters is justified. Finally, the Chua's circuit is shown to exhibit the analyzed bifurcation. The obtained bifurcation set in the parameter plane is similar to the degenerate Hopf bifurcation for differentiable systems.

Enrique Ponce | Emilio Freire | Javier Ros

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