On the Entropy of Continuous Flows with Uniformly Expansive Points and the Globalness of Shadowable Points with Gaps
نویسندگان
چکیده
In this work we study the problem of positiveness topological entropy for flows using pointwise dynamics. We show that existence a non-periodic nonwandering point an expansive and non-singular flow with shadowing is sufficient condition to obtain positive entropy. Moreover, can deal singularities, showing non-wandering, non-critical, strongly-shadowable, uniform-expansive implies symbolic subshift. Finally, discuss versions some shadowing-type properties.
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ژورنال
عنوان ژورنال: Bulletin Of The Brazilian Mathematical Society, New Series
سال: 2022
ISSN: ['1678-7544', '1678-7714']
DOI: https://doi.org/10.1007/s00574-022-00285-w