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Type: Artigo
Title: Bifurcations from families of periodic solutions in piecewise differential systems
Author: Llibre, J.
Novaes, D.D.
Rodrigues, C.A.B.
Abstract: Consider a differential system of the form x′=F0(t,x)+∑i=1kεiFi(t,x)+εk+1R(t,x,ε),where Fi:S1×D→Rm and R:S1×D×(−ε0,ε0)→Rm are piecewise Ck+1 functions and T-periodic in the variable t. Assuming that the unperturbed system x′=F0(t,x) has a d-dimensional submanifold of periodic solutions with d<m, we use the Lyapunov–Schmidt reduction and the averaging theory to study the existence of isolated T-periodic solutions of the above differential system
Subject: Método averaging (Equações diferenciais)
Sistemas dinâmicos diferenciais
Country: Holanda
Editor: Elsevier
Rights: Fechado
Identifier DOI: 10.1016/j.physd.2020.132342
Date Issue: 2020
Appears in Collections:IMECC - Artigos e Outros Documentos

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