Lyapunov functions, shadowing, and topological stability
classification
🧮 math.DS
keywords
conditionsfunctionslyapunovshadowingstabilitytopologicalappliedbehavior
read the original abstract
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.
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