Far East Journal of Dynamical Systems
Volume 11, Issue 2, Pages 205 - 214
(June 2009)
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SENSITIVE DEPENDENCE AND RIGIDITY OF TOPOLOGICALLY TRANSITIVE SEMI-FLOWS
Shihui Fu (P. R. China), Xinhua Yan (P. R. China) and Lingshu Wang (P. R. China)
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Abstract: We study the dynamical properties of the topologically transitive semi-flows on a compact metric space. We show that (1) the semi-flow is either sensitively dependent or a uniformly rigidity flow; (2) if the semi-flow with a dense set of minimal points is not minimal, then it must be sensitively dependent. |
Keywords and phrases: semi-flow, topological transitivity, sensitive dependence, uniform rigidity. |
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