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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Article

Average Shadowing Property With Non Uniformly Hyperbolicity on Periodic Points

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pp. 11–17Vol. 12Issue 1January 2014DOI: 10.1080/1726037X.2014.917826XML
Received:
15 Jan 2014
Accepted:
21 Mar 2014
Published Online:
08 Jul 2014
Article type:
Article
Language:
EN
Article no.:
1726037X.2014.917826
Pages:
11–17

Abstract

In this short paper we show that generically if f is tame and non uniformly hyperbolic on the its periodic points, then averge shadowing property and hyperbolicity are equivalent.

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