Linearization of planar homeomorphisms with a compact attractor
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Groisman, Jorge (Universidad de la República. IMERL (Uruguay))
Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2016
Abstract:	Kerékjártó proved in 1934 that a planar homeomorphism with an asymptotically stable fixed point is conjugated, on its basin of attraction, to one of the maps z (Formula Present. ) depending on whether f preserves or reverses the orientation. We extend this result to planar homeomorphisms with a compact attractor.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P Ministerio de Economía y Competitividad MTM2014-52209-C2-1-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Kerékjártó's theorem ; Attractor ; Linearization ; Lyapunov function
Published in:	Topological Methods in Nonlinear Analysis, Vol. 48, Num. 2 (December 2016) , p. 493-506, ISSN 1230-3429

DOI: 10.12775/TMNA.2016.055

Postprint 12 p, 359.7 KB

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