Lipschitz shadowing implies structural stability
classification
🧮 math.DS
keywords
lipschitzshadowingdiffeomorphismpropertystabilitystructuralanosovcorollary
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We show that the Lipschitz shadowing property of a diffeomorphism is equivalent to structural stability. As a corollary, we show that an expansive diffeomorphism having the Lipschitz shadowing property is Anosov.
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