Transient Chaos in Dissipatively Perturbed, Near-Integrable Hamiltonian Systems
- 26 August 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 55 (9) , 908-911
- https://doi.org/10.1103/physrevlett.55.908
Abstract
When near-integrable Hamiltonians systems are perturbed by dissipation, then the stable orbits become simple attracting sinks, the Kolmogorov-Arnol'd-Moser tori are destroyed, and persistent chaotic motion disappears. We determine analytically the mean lifetime, the quasistatic distribution, and the fraction trapped into the various sinks for a dissipatively perturbed area-preserving twist map.Keywords
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