Stochasticity and reconnection in Hamiltonian systems
- 1 January 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 29 (1), 418-421
- https://doi.org/10.1103/physreva.29.418
Abstract
A general class of Hamiltonian systems is studied in which neighboring phase-space islands are shifted in phase. This leads to reconnection of Kolmogorov-Arnold-Moser level curves and necessitates a reexamination of the island overlap criterion for the breakdown of adiabatic barriers between island chains. An analytic reconnection threshold is derived from an averaged Hamiltonian and found to agree closely with numerical surfaces of section for a model mapping. Numerous applications to physical problems are indicated.Keywords
This publication has 8 references indexed in Scilit:
- Regular and Stochastic MotionPublished by Springer Nature ,1983
- Fermi acceleration revisitedPhysica D: Nonlinear Phenomena, 1980
- A universal instability of many-dimensional oscillator systemsPhysics Reports, 1979
- Stochastic ion heating by a lower hybrid wavePhysics of Fluids, 1978
- Filamentation and Subsequent Decay of Laser Light in PlasmasPhysical Review Letters, 1975
- Relaxation of Toroidal Plasma and Generation of Reverse Magnetic FieldsPhysical Review Letters, 1974
- Stochastic and Adiabatic Behavior of Particles Accelerated by Periodic ForcesPhysical Review A, 1972
- The applicability of the third integral of motion: Some numerical experimentsThe Astronomical Journal, 1964