Some properties of chain recurrent sets in a nonautonomous discrete dynamical system (Q2515422)
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| Language | Label | Description | Also known as |
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| English | Some properties of chain recurrent sets in a nonautonomous discrete dynamical system |
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Some properties of chain recurrent sets in a nonautonomous discrete dynamical system (English)
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5 August 2015
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\textit{S. Kolyada} and \textit{L. Snoha} [Random Comput. Dyn. 4, No. 2--3, 205--233 (1996; Zbl 0909.54012)] introduced a type of non-autonomous dynamical system obtained by composing an ordered sequence of homeomorphisms. Here \textit{C. Conley}'s notion [Isolated invariant sets and the Morse index. Regional Conference Series in Mathematics. No. 38. Providence, R.I.: American Mathematical Society (AMS). (1978; Zbl 0397.34056)] of chain recurrence in the classical setting is formulated for non-autonomous dynamical systems and the basic properties are described.
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nonwandering set
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chain recurrent set
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non-autonomous discrete dynamical systems
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expansiveness
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shadowing property
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