Dynamics of the birational maps arising from F-0 and dP(3) quivers

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

Ines Cruz (Autor) FCUP; Helena Mena Matos (Autor) FCUP; Esmeralda Sousa Dias, ME (Autor) Outra

Revista

Título: Journal of Mathematical Analysis and Applications

Vol. 431

Páginas: 903-918

ISSN: 0022-247X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 2 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-00G-EF6

DOI: 10.1016/j.jmaa.2015.06.017

Abstract (EN): The dynamics of the maps associated to F-0 and dP(3) quivers is studied in detail. We show that the corresponding reduced symplectic maps are conjugate to globally periodic maps by providing explicit conjugations. The dynamics in R-+(N) of the original maps is obtained by lifting the dynamics of these globally periodic maps and the solution of the discrete dynamical systems generated by each map is given. A better understanding of the dynamics is achieved by considering first integrals. The relationship between the complete integrability of the globally periodic maps and the dynamics of the original maps is explored. (C) 2015 Elsevier Inc. All rights reserved.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 16