On the fundamental regions of a fixed point free conservative Henon map

• Tipo: Artigo em Revista Científica Internacional
• Data: 2008

Autores

Mario Bessa (Autor) Outra; Jorge Rocha (Autor) FCUP

Revista

Título: Bulletin of the Australian Mathematical Society

Vol. 77

Páginas: 37-48

ISSN: 0004-9727

Editora: Cambridge University Press

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 1 Citação

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-004-1N2

DOI: 10.1017/s000497270800004x

Abstract (EN): It is well known that an orientation-preserving homeomorphism of the plane without fixed points has trivial dynamics; that is, its non-wandering set is empty and all the orbits diverge to infinity. However, orbits can diverge to infinity in many different ways (or not) giving rise to fundamental regions of divergence. Such a map is topologically equivalent to a plane translation if and only if it has only one fundamental region. We consider the conservative, orientation-preserving and fixed point free Henon map and prove that it has only one fundamental region of divergence. Actually, we prove that there exists an area-preserving homeomorphism of the plane that conjugates this Henon map to a translation.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12