Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve

Jaume Llibre; Xiang Zhang

doi:https://doi.org/10.1142/S0218127419500172

Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve

Jaume Llibre, Xiang Zhang

Department of Mathematics

Research output: Contribution to journal › Article › Research

6 Citations (Scopus)

Abstract

© 2019 World Scientific Publishing Company. We study how to change the maximum number of limit cycles of the discontinuous piecewise linear differential systems with only two pieces in function of the degree of the discontinuity of the algebraic curve between the two linear differential systems. These discontinuous differential systems appear frequently in applied sciences.

Original language	English
Article number	1950017
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	29
DOIs	https://doi.org/10.1142/S0218127419500172
Publication status	Published - 1 Feb 2019

Keywords

Limit cycle
discontinuity with an algebraic curve
discontinuous piecewise linear differential systems

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