Stability of periodic points in Piecewise Isometries of Euclidean spaces

• Tipo: Artigo em Revista Científica Internacional
• Data: 2007

Autores

Miguel Ângelo de Sousa Mendes (Autor) FEUP

Revista

Título: Ergodic Theory and Dynamical Systems

Vol. 27 Nº 1

Páginas: 183-197

ISSN: 0143-3857

Editora: Cambridge University Press

Indexação

ISI Web of Science

Classificação Científica

CORDIS: Ciências Físicas > Matemática

Outras Informações

Abstract (EN): In this paper we complete the analysis of the stability of periodic points of piecewise isometric systems which are defined in the entire Euclidean space. The case which we focus on here is when the determinant of the matrix Id-R_w is zero, where R_w is the linear part of the return map generated by the periodic point whose coding is made of a countable repetition of the block w. The case when determinant of Id-R_w is non-zero was studied in Mendes & Nicol [2004] but still the statement is included here for completeness sake.

Idioma: Português

Tipo (Avaliação Docente): Científica