Gibbs attractor: a chaotic nearly Hamiltonian system, driven by external harmonic force
arXiv:nlin/0309026 · doi:10.1103/PhysRevE.69.036207
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.
8 pages RevTeX, 3 figures