Gibbs attractor: A chaotic nearly Hamiltonian system, driven by external harmonic force
A chaotic autonomous Hamiltonian system, 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 describ...
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| Veröffentlicht in: | Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2004-03, Vol.69 (3 Pt 2), p.036207-036207, Article 036207 |
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| container_end_page | 036207 |
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| container_issue | 3 Pt 2 |
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| container_title | Physical review. E, Statistical, nonlinear, and soft matter physics |
| container_volume | 69 |
| creator | Elyutin, P V |
| description | A chaotic autonomous Hamiltonian system, 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. |
| doi_str_mv | 10.1103/PhysRevE.69.036207 |
| format | Article |
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| source | American Physical Society Journals |
| title | Gibbs attractor: A chaotic nearly Hamiltonian system, driven by external harmonic force |
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