半流及其逆极限的混沌

Abstract

Abstract: In this paper,we study the invariants of the chaos in the sense of Devaney for continuous dynamical systems. The followings is proved:(1) a semi-flow is chaotic (resp. ω-chaotic) iff inverse limit system of it is chaotic (resp. ω-chaotic); (2) a continuous mcap is chaotic (resp. ω-chaotic) iff suspension semi-flow of it is chaotic (resp. ω-chaotic); (3) suspension flow of inverse limit system of a continuous map is conjugate to inverse limit system of suspension semi-flow of it. It follows from (2) and (3)that (1) is a generalizafion of those obtained for discrete dynamical systems in[4].

Key words: Semi-flows, inverse limit systems, chaos, ω-chaos, suspenion semi-flows

He Lianfa, Zhang Zhenguo. Chaos in the Semi-Flows and its Inverse Limit systems[J].Acta mathematica scientia,Series A, 1997, 17(S1): 46-51.

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Chaos in the Semi-Flows and its Inverse Limit systems

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