Minimal periodic orbit structure of 2-dimensional homeomorphisms

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.

• Författare: HG Solari; Mario Natiello
• Avdelning/ar: Matematik LTH; Dynamical systems
• Publiceringsår: 2005
• Språk: Engelska
• Sidor: 183-222
• Publikation/Tidskrift/Serie: Journal of Nonlinear Science
• Volym: 15
• Issue: 3
• Länkar: http://dx.doi.org/10.1007/s00332-005-0637-1
• Dokumenttyp: Artikel i tidskrift
• Förlag: Springer
• Ämne: Mathematics
• Nyckelord: pseudo-Anosov; Thurston classification theorem; 2-D homeomorphisms of the disk; topological entropy; minimal periodic orbit structure; representative
• Status: Published
• Forskningsgrupp: Analysis and Dynamics; Dynamical systems
• ISBN/ISSN/Övrigt: ISSN: 0938-8974