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
Publication statusPublished - 1 Dec 2006

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