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Proceedings Paper

Variations of piece-wise liner 1D one-parameter chaotic map
Author(s): Valery M. Anikin; Alexander S. Remizov; Sergey S. Arkadaksky
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Paper Abstract

Probability properties of one-dimensional piece-wise linear chaotic map having two linear brunches (Rényi map) are investigated. The map dynamics depends on a parameter defining substantially view of the map, i.e. slopes of map linear branches and proportion between them. This dependence is very sensitive, and there is the infinite set of parameter values providing existence of piecewise constant invariant density of the map. These values of the parameter may be obtained by solving corresponding algebraic equation. These properties allow us to apply the map for modeling complex chaotic regimes by means of switching between various values of parameter. The map is suggested to be suitable for description of degrees of chaotic neuron reactions on weak excitations and for chaotic encryption.

Paper Details

Date Published: 7 February 2007
PDF: 6 pages
Proc. SPIE 6436, Complex Dynamics and Fluctuations in Biomedical Photonics IV, 64360L (7 February 2007); doi: 10.1117/12.699886
Show Author Affiliations
Valery M. Anikin, Saratov State Univ. (Russia)
Alexander S. Remizov, Saratov State Univ. (Russia)
Sergey S. Arkadaksky, Saratov State Univ. (Russia)

Published in SPIE Proceedings Vol. 6436:
Complex Dynamics and Fluctuations in Biomedical Photonics IV
Valery V. Tuchin, Editor(s)

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