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Some aspects of topological transitivity – a survey. (English) Zbl 0907.54036

The paper gives a aurvey of results concerning topological transitivity of a dynamical system generated by a continuous selfmap of a compact metric space. Besides a detailed introduction of topological transitivity it gives an analysis of relation between transitivity and different types of chaos, transitivity and topological entropy and also covers some of the recent developments.

MSC:

54H20 Topological dynamics (MSC2010)
37B99 Topological dynamics
26A18 Iteration of real functions in one variable
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