Path Integrals in Hamiltonian Systems: Breakup of the Last Kolmogorov-Arnold-Moser Torus Due to Random Forces
- 23 January 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (4) , 353-356
- https://doi.org/10.1103/physrevlett.62.353
Abstract
Transport in three-dimensional nonintegrable Hamiltonian flows is studied and the destruction of Kolmogorov-Arnold-Moser barriers in the presence of stochastic perturbations described. We extend the action principle to Hamiltonians with small noise, which provides a framework to determine universal scaling of characteristic times as a function of the noise.Keywords
This publication has 20 references indexed in Scilit:
- GenericNoise in Chaotic Hamiltonian DynamicsPhysical Review Letters, 1987
- Scaling in stochastic Hamiltonian systems: A renormalization approachPhysical Review Letters, 1987
- Markov-Tree Model of Intrinsic Transport in Hamiltonian SystemsPhysical Review Letters, 1985
- Universal scaling of long-time tails in Hamiltonian systems?Physics Letters A, 1985
- Corrections to quasilinear diffusion in area-preserving mapsPhysical Review A, 1985
- Stochasticity in classical Hamiltonian systems: Universal aspectsPhysics Reports, 1985
- Regular and Stochastic MotionPublished by Springer Nature ,1983
- Critical behavior of a KAM surface: I. Empirical resultsJournal of Statistical Physics, 1982
- Scaling for a Critical Kolmogorov-Arnold-Moser TrajectoryPhysical Review Letters, 1981
- A universal instability of many-dimensional oscillator systemsPhysics Reports, 1979