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Title: The Bernoulli shift as a basic chaotic dynamical system (English)
Author: Kučera, Václav
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Hejnice, June 24-29, 2018
Issue: 2018
Pages: 89-98
Category: math
Summary: We give a brief introduction to the Bernoulli shift map as a basic chaotic dynamical system. We give several examples where the iterates of a~mapping can be understood using the Bernoulli shift. Namely, the iteration of real interval maps and iteration of quadratic functions in the complex plain. (English)
Keyword: Bernoulli shift
Keyword: chaotic dynamics
Keyword: recurrence
MSC: 37D45
MSC: 37E05
MSC: 37F45
DOI: 10.21136/panm.2018.10
Date available: 2019-04-29T13:36:45Z
Last updated: 2021-05-05
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