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- W1966231411 abstract "In the paper, the analytical method of constructing special generating functions for eigenfunctions and eigenvalues of the Perron-Frobenius operator corresponding to piece-wise symmetric one-dimensional chaotic maps is justified. Some properties of eigenfunctions are illustrated. An extension of the results for maps related with piece-wise ones by invertible nonlinear transformations is showed. The results for chaotic one-dimensional maps modeling biological and physiological rythmes (neuron activity or heart beats) and having invariant distributions in the form of various types of exponential law (standard distribution and its generalizations) are presented." @default.
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- W1966231411 date "2005-03-29" @default.
- W1966231411 modified "2023-09-26" @default.
- W1966231411 title "Operator description of maps providing chaotic rythmes" @default.
- W1966231411 doi "https://doi.org/10.1117/12.589565" @default.
- W1966231411 hasPublicationYear "2005" @default.
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