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Dynamic stochastic systems, typical realization curve, and Lyapunov’s exponents

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Abstract

The relationship between a statistical description of dynamic stochastic systems on the basis of the ideas of statistical topography and the conventional analysis of Lyapunov stability of dynamic systems with the aid of Lyapunov’s exponents is discussed.

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Authors and Affiliations

  1. Oboukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 119017, Russia

    V. I. Klyatskin

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  1. V. I. Klyatskin
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Correspondence to V. I. Klyatskin.

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Original Russian Text © V.I. Klyatskin, 2008, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2008, Vol. 44, No. 1, pp. 21–35.

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Klyatskin, V.I. Dynamic stochastic systems, typical realization curve, and Lyapunov’s exponents. Izv. Atmos. Ocean. Phys. 44, 18–32 (2008). https://doi.org/10.1134/S0001433808010039

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