On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
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Data
2015-04-01
Autores
Euzebio, Rodrigo D. [UNESP]
Llibre, Jaume
Título da Revista
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Editor
Elsevier B.V.
Resumo
In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 <= N <= 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity. (C) 2014 Elsevier Inc. All rights reserved.
Descrição
Palavras-chave
Non-smooth differential system, Limit cycle, Piecewise linear differential system
Como citar
Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 424, n. 1, p. 475-486, 2015.