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Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09845-4
Abstract: A compact space X is said to be minimal if there exists a map $$f:X\rightarrow X$$ f : X → X such that the forward orbit of any point is dense in X . We…
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Keywords:
minimal spaces;
homeomorphism;
minimal homeomorphism;
rigid minimal ... See more keywords
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1
Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.12.014
Abstract: Abstract Kato [5] and Artigue [3] merged the theory of expansive systems [10] and foliations with the continuum theory [14] . Here we merge the expansive systems but with the descriptive set theory [6] instead.…
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Keywords:
metric space;
homeomorphism;
meagre expansive;
expansive systems ... See more keywords
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2
Published in 2022 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2023.2208242
Abstract: Let $X$ be a continuum and let $\varphi:X\rightarrow X$ be a homeomorphism. To construct a dynamical system $(X,\varphi)$ with interesting dynamical properties, the continuum $X$ often needs to have some complicated topological structure. In this…
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Keywords:
homeomorphism lelek;
transitive homeomorphism;
lelek fan;
homeomorphism ... See more keywords