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Type: Artigo
Title: Piecewise Linear Differential Systems Without Equilibria Produce Limit Cycles?
Author: Llibre
Jaume; Teixeira
Marco Antonio
Abstract: In this article, we study the planar piecewise differential systems formed by two linear differential systems separated by a straight line, such that both linear differential have no equilibria, neither real nor virtual. When the piecewise differential system is continuous, we show that the system has no limit cycles. But when the piecewise differential system is discontinuous, we show that it can have at most one limit cycle.
Subject: Limit Cycles
Continuous Piecewise Linear Differential Systems
Discontinuous Piecewise Differential Systems
Editor: Springer
Citation: Nonlinear Dynamics. Springer, v. 88, p. 157 - 164, 2017.
Rights: fechado
Identifier DOI: 10.1007/s11071-016-3236-9
Date Issue: 2017
Appears in Collections:Unicamp - Artigos e Outros Documentos

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