Continuous Piecewise Analytic Planar Systems with an Arbitrary Finite Number of Switching Lines

Authors

Hebai Chen
Dehong Dai
Zhaosheng Feng, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

12-10-2024

Abstract

Much attention has been devoted to piecewise analytic systems with a single switching line. In this paper we are concerned with continuous piecewise analytic planar systems of a more general nature, allowing for an arbitrarily finite number of switching lines, and obtain the exact order of weak focus and establish sufficient conditions of the existence of limit cycles for continuous piecewise analytic planar systems.

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Recommended Citation

Chen, Hebai, Dehong Dai, and Zhaosheng Feng. "Continuous Piecewise Analytic Planar Systems with an Arbitrary Finite Number of Switching Lines." Journal of Dynamics and Differential Equations (2024): 1-20. https://doi.org/10.1007/s10884-024-10403-5

Publication Title

Journal of Dynamics and Differential Equations

DOI

10.1007/s10884-024-10403-5