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

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

2003-09-08

arxiv.org/abs/nlin/0309026v1

Nonlinear Sciences

Chaotic Dynamics

8 pages RevTeX, 3 figures

Scientific paper

10.1103/PhysRevE.69.036207

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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