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Lyapunov exponent for chaotic 1D maps with uniform invariant distribution

  • Proceedings of the XI All-Russia Seminar “Wave Phenomena in Inhomogeneous Media”
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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

Some properties of iterative functions of 1D chaotic maps that provide uniform invariant distribution are formulated. A method for synthesizing strictly nonlinear maps with uniform invariant distribution is demonstrated. The Lyapunov exponents for such maps are analyzed and it is shown that, among the maps with a specified number of full branches, piecewise linear maps with branches characterized by equal moduli of angular coefficients have the maximum Lyapunov exponent.

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Authors and Affiliations

  1. Chernyshevskii Saratov State University, Saratov, 410012, Russia

    V. M. Anikin, S. S. Arkadaksky, S. N. Kuptsov, A. S. Remizov & L. P. Vasilenko

Authors
  1. V. M. Anikin
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  2. S. S. Arkadaksky
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  3. S. N. Kuptsov
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  4. A. S. Remizov
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  5. L. P. Vasilenko
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Corresponding author

Correspondence to V. M. Anikin.

Additional information

Original Russian Text © V.M. Anikin, S.S. Arkadaksky, S.N. Kuptsov, A.S. Remizov, and L.P. Vasilenko, 2008, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2008, Vol. 72, No. 12, pp. 1780–1784.

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Anikin, V.M., Arkadaksky, S.S., Kuptsov, S.N. et al. Lyapunov exponent for chaotic 1D maps with uniform invariant distribution. Bull. Russ. Acad. Sci. Phys. 72, 1684–1688 (2008). https://doi.org/10.3103/S106287380812023X

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  • DOI: https://doi.org/10.3103/S106287380812023X

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