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VOLUME 79 (2004) | ISSUE 11 | PAGE 651
On the maximum Lyapunov exponent of the motion in a chaotic layer
PACS: 05.45.-a, 05.45.Pq, 45.20.Jj
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.