Topology of attractors from two-piece expanding maps

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    Abstract

    In this paper we study the topology of the invariant sets derived from two-piece expanding maps. We classify the conditions under which the invariant sets are topological attractors, and show that the set of attractors is open and dense in the set of invariant sets derived by two-piece expanding maps.

    Original languageEnglish
    Pages (from-to)385-398
    Number of pages14
    JournalDynamical Systems
    Volume21
    Issue number4
    DOIs
    StatePublished - 1 Dec 2006

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