GLOBAL DYNAMICS FOR SYMMETRIC PLANAR MAPS

• Type: Article in International Scientific Journal
• Date: 2013

Authors

alarcon, b (Author) Other; castro, sbsd (Author) FEP; Labouriau, IS (Author) FCUP

Journal

Title: Discrete and Continuous Dynamical Systems

Vol. 33

Pages: 2241-2251

ISSN: 1078-0947

Publisher: American Institute of Mathematical Sciences

Indexing

ISI Web of Knowledge - 3 Citations

ISI Web of Science

Scopus - 2 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11