Linearization of planar homeomorphisms with a compact attractor
Keywords
Kerékjártó's theorem, attractor, linearization, Lyapunov functionAbstract
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 $z\mapsto z/2$ or $z\mapsto \overline z/2$, depending on whether $f$ preserves or reverses the orientation. We extend this result to planar homeomorphisms with a compact attractor.Published
2016-08-20
How to Cite
1.
GASULL, Armengol, GROISMAN, Jorge and MAÑOSAS, Francesc. Linearization of planar homeomorphisms with a compact attractor. Topological Methods in Nonlinear Analysis. Online. 20 August 2016. Vol. 48, no. 2, pp. 493 - 506. [Accessed 23 September 2024].
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