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Gibbs attractor: a chaotic nearly Hamiltonian system, driven by external harmonic force

P. V. Elyutin
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Abstract

A chaotic autonomous Hamiltonian systems, perturbed by small damping and small external force, harmonically dependent on time, can acquire a strange attractor with properties similar to that of the canonical distribution - the Gibbs attractor. The evolution of the energy in such systems can be described as the energy diffusion. For the nonlinear Pullen - Edmonds oscillator with two degrees of freedom the properties of the Gibbs attractor and their dependence on parameters of the perturbation are studied both analytically and numerically.

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P. V. Elyutin. 2003-09-08. Gibbs attractor: a chaotic nearly Hamiltonian system, driven by external harmonic force. https://doi.org/10.1103/physreve.69.036207

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