Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68389
Type: Artigo
Title: Higher order averaging theory for finding periodic solutions via Brouwer degree
Author: Llibre, Jaume
Novaes, Douglas D.
Teixeira, Marco A.
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.
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 fun
Subject: Brouwer, Grau de
Soluções periódicas (Equações diferenciais)
Método averaging (Equações diferenciais)
Teoria dos sistemas dinâmicos
Sistemas dinâmicos diferenciais
Country: Reino Unido
Editor: IOP Publishing
Citation: Nonlinearity. Iop Publishing Ltd, v. 27, n. 3, n. 563, n. 583, 2014.
Rights: fechado
fechado
Identifier DOI: 10.1088/0951-7715/27/3/563
Address: https://iopscience.iop.org/article/10.1088/0951-7715/27/3/563
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

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