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Minimal periodic orbit structure of 2-dimensional homeomorphisms

På svenska

Author

Summary, in English

We present a method for estimating the minimal periodic orbit structure, the topological entropy, and a fat representative of the homeomorphism associated with the existence of a finite collection of periodic orbits of an orientation-preserving homeomorphism of the disk D-2. The method focuses on the concept of fold and recurrent bogus transition and is more direct than existing techniques. In particular, we introduce the notion of complexity to monitor the modification process used to obtain the desired goals. An algorithm implementing the procedure is described and some examples are presented at the end.

Department/s

Publishing year

2005

Language

English

Pages

183-222

Publication/Series

Journal of Nonlinear Science

Volume

15

Issue

3

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • pseudo-Anosov
  • Thurston classification theorem
  • 2-D homeomorphisms of the disk
  • topological entropy
  • minimal periodic orbit structure
  • representative

Status

Published

Research group

  • Analysis and Dynamics
  • Dynamical systems

ISBN/ISSN/Other

  • ISSN: 0938-8974