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Renormalization and Focal Decomposition

Title
Renormalization and Focal Decomposition
Type
Article in International Conference Proceedings Book
Year
2011
Authors
Carlos A A de Carvalho
(Author)
Other
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Mauricio M Peixoto
(Author)
Other
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Diogo Pinheiro
(Author)
Other
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Conference proceedings International
Pages: 25-40
International Conference DYNA 2008
Braga, PORTUGAL, SEP 08-12, 2008
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-002-WHM
Abstract (EN): 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.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 16
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