Linearization of planar homeomorphisms with a compact attractor
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Kerékjártó's theorem, attractor, linearization, Lyapunov functionAbstrakt
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.Pobrania
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2016-08-20
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GASULL, Armengol, GROISMAN, Jorge & MAÑOSAS, Francesc. Linearization of planar homeomorphisms with a compact attractor. Topological Methods in Nonlinear Analysis [online]. 20 sierpień 2016, T. 48, nr 2, s. 493–506. [udostępniono 22.7.2024].
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