On the Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Formed by Two Rigid Centers Governed by Odd Degree Polynomials

2022/12/30 by Tiago Carvalho, Luiz Fernando Gonçalves, Jaume Llibre · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems

paper · doi:10.1142/s0218127422502455

Abstract

We provide an upper bound for the maximum number of limit cycles for the class of discontinuous piecewise differential systems formed by two differential systems separated by the straight line [Formula: see text], one of which is a linear rigid center while the other is a rigid center formed of a linear part plus a homogeneous polynomial of odd degree. We solve the extended 16th Hilbert problem for this class of discontinuous piecewise differential systems.

Citations

• One-Parameter Bifurcations in Planar Filippov Systems

Cited by

• Limit Cycles of Piecewise Smooth Vector Fields Formed by Rigid Systems and Linear Centers

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