Please use this identifier to cite or link to this item: https://hdl.handle.net/10216/94086
Author(s): Carlos A A de Carvalho
Mauricio M Peixoto
Diogo Pinheiro
Alberto A Pinto
Title: Renormalization and Focal Decomposition
Issue Date: 2011
Abstract: We introduce a renormalization scheme to study the asymptotic dynamical behaviour of a family of mechanical systems with non-isochronous potentials with an elliptic equilibrium. This renormalization scheme acts on a family of orbits of these mechanical systems, all of which are contained on neighbourhoods of the elliptic equilibrium, by rescaling space and shifting time in an appropriate way. We present some new results regarding the properties of this renormalization scheme, and examine the strong connection it has with the focal decomposition for the Euler-Lagrange equation of this family of mechanical systems.
Subject: Matemática
Mathematics
Scientific areas: Ciências exactas e naturais::Matemática
Natural sciences::Mathematics
URI: https://repositorio-aberto.up.pt/handle/10216/94086
Source: Springer Proceedings in Mathematics
Document Type: Artigo em Livro de Atas de Conferência Internacional
Rights: restrictedAccess
Appears in Collections:FCUP - Artigo em Livro de Atas de Conferência Internacional

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