Email this article Family of Dynamical Systems Whose Topological Entropy Is Nowhere Upper Semicontinuous
- Authors: Vetokhin A.N.1,2
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Affiliations:
- Lomonosov Moscow State University
- Bauman Moscow State Technical University
- Issue: Vol 55, No 8 (2019)
- Pages: 1118-1119
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/155144
- DOI: https://doi.org/10.1134/S0012266119080123
- ID: 155144
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Abstract
We construct a continuous family of continuous mappings of a compact metric space such that the topological entropy of these mappings as a function of the parameter is nowhere upper semicontinuous.
About the authors
A. N. Vetokhin
Lomonosov Moscow State University; Bauman Moscow State Technical University
Author for correspondence.
Email: anveto27@yandex.ru
Russian Federation, Moscow, 119992; Moscow, 105005
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