Piecewise linear differential systems with an algebraic line of separation

We study the number of limit cycles of planar piecewise linear differential systems separated by a branch of an algebraic curve. We show that for each $n\in\mathbb{N}$ there exist piecewise linear differential systems separated by an algebraic curve of degree $n$ having [n/2] hyperbolic limit cy...

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Bibliographic Details
Main Authors: Armengol Gasull, Joan Torregrosa, Xiang Zhang
Format: Article
Language:English
Published: Texas State University 2020-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/19/abstr.html