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

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