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Continuous Mapping On The Warsaw Circle Chaos

Posted on:2006-10-01Degree:MasterType:Thesis
Country:ChinaCandidate:Z T XingFull Text:PDF
GTID:2190360152490610Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
The first part of the present paper is preliminaries . At the second part chaos generated by continuous maps on Warsaw circle are reaseaxched . We prove that for a continuous map f on Warsaw circle W , the following are equivalent: (1) f has positive entropy; (2) there exists a invariant closed subset D C W such that f|D is Devaney chaotic; (3) f is strongly chaotic and (4) f is SS-chaotic .
Keywords/Search Tags:Continuous
PDF Full Text Request
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