© 2016 Juliusz Schauder Centre for Nonlinear Studies. 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.
- Kerékjártó‘s theorem
- Lyapunov function