Lyapunov functions, shadowing and topological stability
Keywords
Dynamical systems, shadowing, topological stability, Lyapunov functionsAbstract
We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metric space has the shadowing property. These conditions are applied to establish the topological stability of some homeomorphisms with nonhyperbolic behavior.Downloads
Published
2016-04-12
How to Cite
1.
PETROV, Alexey A. & PILYUGIN, Sergei Yu. Lyapunov functions, shadowing and topological stability. Topological Methods in Nonlinear Analysis [online]. 12 April 2016, T. 43, nr 1, s. 231–240. [accessed 31.1.2023].
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