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Article

Kučera, Václav
The Bernoulli shift as a basic chaotic dynamical system. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 89-98
MSC: 37D45, 37E05, 37F45 | DOI: 10.21136/panm.2018.10
Keywords:
Bernoulli shift; chaotic dynamics; recurrence
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.
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