The width of a chaotic layer

Abstract

A model of nonlinear resonance as a periodically perturbed pendulum is considered, and a new method of analytical estimating the width of a chaotic layer near the separatrices of the resonance is derived for the case of slow perturbation (the case of adiabatic chaos). The method turns out to be successful not only in the case of adiabatic chaos, but in the case of intermediate perturbation frequencies as well.

27 pages, 8 figures

References in corpus (2)

• Marginal resonances and intermittent behaviour in the motion in the vicinity of a separatrix
• Isentropic perturbations of a chaotic domain

Cited by in corpus (8)

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• The Criterion for Chaos in Three-Planet Systems
• Width of the chaotic layer: maxima due to marginal resonances
• Long-Term Dynamics of Planetesimals in Planetary Chaotic Zones
• Lyapunov exponents in fundamental models of nonlinear resonance
• Extended planetary chaotic zones
• Evolution of Planetary Chaotic Zones in Planetesimal Disks
• Dynamical entropy of the separatrix map