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On the maximum Lyapunov exponent of the motion in a chaotic layer

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Abstract

The maximum Lyapunov exponent (referred to the mean half-period of phase libration) of the motion in the chaotic layer of a nonlinear resonance subject to symmetric periodic perturbation, in the limit of infinitely high frequency of the perturbation, has been numerically estimated by two independent methods. The newly derived value of this constant is 0.80, with precision presumably better than 0.01.

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Authors and Affiliations

  1. Pulkovo Observatory, Russian Academy of Sciences, St. Petersburg, 196140, Russia

    I. I. Shevchenko

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  1. I. I. Shevchenko
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 79, No. 11, 2004, pp. 651–656.

Original English Text Copyright © 2004 by Shevchenko.

This article was submitted by the author in English.

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Shevchenko, I.I. On the maximum Lyapunov exponent of the motion in a chaotic layer. Jetp Lett. 79, 523–528 (2004). https://doi.org/10.1134/1.1787098

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  • DOI: https://doi.org/10.1134/1.1787098

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