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Topological Transitivity and Strong Transitivity
We discuss the relation between (topological) transitivity and strong transitivity of dynamical systems. We show that a transitive and open self-map of a compact metric space satisfying a certain expanding condition is strongly transitive. We also prove a couple of results for interval maps; for example it is shown that a transitive piecewise monotone interval map is strongly transitive.
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ژورنال
عنوان ژورنال: Australasian Journal of Philosophy
سال: 2019
ISSN: 0004-8402,1471-6828
DOI: 10.1080/00048402.2018.1520269