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

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.

arXiv comment15 pages, 3 figures

References in corpus (2)

• Marginal resonances and intermittent behaviour in the motion in the vicinity of a separatrix
• On the recurrence and Lyapunov time scales of the motion near the chaos border

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