The Bernoulli shift as a basic chaotic dynamical system

Kučera, Václav

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 89-98

Abstract

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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.

How to cite

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Kučera, Václav. "The Bernoulli shift as a basic chaotic dynamical system." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2019. 89-98. <http://eudml.org/doc/294946>.

@inProceedings{Kučera2019,
abstract = {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.},
author = {Kučera, Václav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {Bernoulli shift; chaotic dynamics; recurrence},
location = {Prague},
pages = {89-98},
publisher = {Institute of Mathematics CAS},
title = {The Bernoulli shift as a basic chaotic dynamical system},
url = {http://eudml.org/doc/294946},
year = {2019},
}

TY - CLSWK
AU - Kučera, Václav
TI - The Bernoulli shift as a basic chaotic dynamical system
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2019
CY - Prague
PB - Institute of Mathematics CAS
SP - 89
EP - 98
AB - 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.
KW - Bernoulli shift; chaotic dynamics; recurrence
UR - http://eudml.org/doc/294946
ER -

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