Home > Articles > Published articles > Linearization of planar homeomorphisms with a compact attractor |
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 |
Postprint 12 p, 359.7 KB |