Universitat Autònoma de Barcelona

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$The planar discontinuous piecewise linear refracting systems have at most one limit cycle$

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The planar discontinuous piecewise linear refracting systems have at most one limit cycle / Li, Shimin (Guangdong University of Finance and Economics. School of Mathematics and Statistics) ; Liu, Changjian (Sun Yat-sen University. School of Mathematics (Zhuhai)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we investigate the limit cycles of planar piecewise linear differential systems with two zones separated by a straight line. It is well known that when these systems are continuous they can exhibit at most one limit cycle, while when they are discontinuous the question about maximum number of limit cycles that they can exhibit is still open. [...]
2021 - DOI (Digital Object Identifier)

10.1016/j.nahs.2021.101045
Nonlinear Analysis: Hybrid Systems, Vol. 41 (August 2021) , art. 101045

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