For citation:
Sochnev S. V. The construction of one-dimensional maps with given stochastic properties. Izvestiya VUZ. Applied Nonlinear Dynamics, 1993, vol. 1, iss. 1, pp. 63-71.
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Language:
Russian
Article type:
Article
UDC:
534
The construction of one-dimensional maps with given stochastic properties
Autors:
Sochnev S. V., Moscow Institute of Physics and Technology
Abstract:
The way of the construction of one-dimensional maps with a given distribution function (invariant measure) and a given correlation function (correlation time) is presented in this work. The above procedure may be useful in such applications where one must model quasi-random proceses with given properties or compare a complex chaotic system with a more simple one coinciding in some parameters.
Key words:
Acknowledgments:
The author is grateful to V.V. Rozhdestvensky for stimulating discussions and a number of valuable comments.
Reference:
- Ershov SV, Malinetskii GG. The solution of the inverse problem for the Perron-Frobenius equation. USSR Comp. Math. Mathem. Phys. 1988;28(5):136-141. DOI: 10.1016/0041-5553(88)90022-5
- Grossman S, Tomae S. Invariant distributions and stationary correlation functions of one-dimensional discrete processes. Z. Naturforsch. 1977;32a:1353-1363.
Received:
07.02.1993
Accepted:
09.04.1993
Published:
20.07.1993
Journal issue:
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