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

TL;DR

This paper numerically estimates the maximum Lyapunov exponent for motion in a chaotic layer of a nonlinear resonance under high-frequency symmetric periodic perturbation, providing a precise value of 0.80.

Contribution

It introduces a new numerical estimate of the maximum Lyapunov exponent in a specific chaotic system, improving understanding of its chaotic dynamics at high perturbation frequencies.

Findings

Maximum Lyapunov exponent estimated as 0.80

Estimate has a precision better than 0.01

Two independent methods confirmed the result

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.