GLOBAL DYNAMICS FOR SYMMETRIC PLANAR MAPS

• Tipo: Artigo em Revista Científica Internacional
• Data: 2013

Autores

alarcon, b (Autor) Outra; castro, sbsd (Autor) FEP; Labouriau, IS (Autor) FCUP

Revista

Título: Discrete and Continuous Dynamical Systems

Vol. 33

Páginas: 2241-2251

ISSN: 1078-0947

Editora: American Institute of Mathematical Sciences

Indexação

ISI Web of Knowledge - 3 Citações

ISI Web of Science

Scopus - 2 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-001-ZV0

DOI: 10.3934/dcds.2013.33.2241

Abstract (EN): We consider sufficient conditions to determine the global dynamics for equivariant maps of the plane with a unique fixed point which is also hyperbolic. When the map is equivariant under the action of a compact Lie group, it is possible to describe the local dynamics. In particular, if the group contains a reflection, there is a line invariant by the map. This allows us to use results based on the theory of free homeomorphisms to describe the global dynamical behaviour. We briefly discuss the case when reflections are absent, for which global dynamics may not follow from local dynamics near the unique fixed point.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11