Renormalization and Focal Decomposition

• Type: Article in International Conference Proceedings Book
• Date: 2011

Authors

Carlos A A de Carvalho (Author) Other; Mauricio M Peixoto (Author) Other; Diogo Pinheiro (Author) Other; Alberto A Pinto (Author) FCUP

Conference proceedings International

Title: Springer Proceedings in Mathematics

Pages: 25-40

International Conference DYNA 2008

Braga, PORTUGAL, SEP 08-12, 2008

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-WHM

DOI: 10.1007/978-3-642-14788-3_2

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