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. and PILYUGIN, Sergei Yu. Lyapunov functions, shadowing and topological stability. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 1, pp. 231 - 240. [Accessed 20 April 2024].
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