On shadowing: Ordinary and ergodic |
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Authors: | Abbas Fakhari F Helen Ghane |
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Institution: | a School of Mathematics and Computer Science, DUBS, Damghan, Iran b Department of Mathematics, Ferdowsi University, Mashhad, Iran |
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Abstract: | The aim of this paper is to introduce the notion of ergodic shadowing for a continuous onto map which is equivalent to the map being topologically mixing and has the ordinary shadowing property. In particular, we deduce the chaotic behavior of a map with ergodic shadowing property. Moreover, we define some kind of specification property and investigate its relation to the ergodic shadowing property. |
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Keywords: | Ergodic shadowing Topological mixing Pseudo-orbital specification |
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