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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://hdl.handle.net/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 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 109076.pdf Restricted Access | 1.43 MB | Adobe PDF | Request a copy from the Author(s) |
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