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|Type:||Artigo de periódico|
|Title:||Higher order averaging theory for finding periodic solutions via Brouwer degree|
|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.|
non-smooth differential system
discontinuous differential system
|Editor:||Iop Publishing Ltd|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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