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Type: Artigo de periódico
Title: Higher order averaging theory for finding periodic solutions via Brouwer degree
Author: Llibre, J
Novaes, DD
Teixeira, MA
Abstract: In this paper we deal with nonlinear differential systems of the form x'(t) = Sigma(k)(i=0) epsilon(i) F(i()t,x) + epsilon(k+1) R(t,x,epsilon), where F-i : R x D -> R-n for i = 0, 1, ... , k, and R : R x D x (-epsilon 0, epsilon 0). R-n are continuous functions, and T - periodic in the first variable, D being an open subset of R-n, and epsilon a small parameter. For such differential systems, which do not need to be of class C-1, under convenient assumptions we extend the averaging theory for computing their periodic solutions to k-th order in epsilon. Some applications are also performed.
Subject: periodic solution
averaging method
non-smooth differential system
discontinuous differential system
Brouwer degree
Country: Inglaterra
Editor: Iop Publishing Ltd
Rights: fechado
Identifier DOI: 10.1088/0951-7715/27/3/563
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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