Stability of periodic points in Piecewise Isometries of Euclidean spaces

• Type: Article in International Scientific Journal
• Date: 2007

Authors

Miguel Ângelo de Sousa Mendes (Author) FEUP

Journal

Title: Ergodic Theory and Dynamical Systems

Vol. 27 No. 1

Pages: 183-197

ISSN: 0143-3857

Publisher: Cambridge University Press

Indexing

ISI Web of Science

Scientific classification

CORDIS: Physical sciences > Mathematics

Other information

DOI: 10.1017/S0143385706000460

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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15