Stochastic instability of a nonlinear oscillator
Abstract
The equation describing perturbed motion of a nonlinear oscillator is studied by a Hamiltonian formalism and by computer mapping. Other physical situations, including the motion of a charged particle in the field of two plane waves, the destruction of magnetic surfaces in a tokamak, and the bounce motion of a charged particle trapped in a magnetic field, can be described by the same equation. Theory predicts the regions of stochastic instability of orbits in a good agreement with computer calculations.
 Publication:

Physical Review A
 Pub Date:
 April 1979
 DOI:
 10.1103/PhysRevA.19.1656
 Bibcode:
 1979PhRvA..19.1656R
 Keywords:

 Computer Graphics;
 Hamiltonian Functions;
 Mapping;
 Nonstabilized Oscillation;
 Oscillators;
 Perturbation Theory;
 Stochastic Processes;
 Charged Particles;
 Electrostatic Waves;
 Nonlinearity;
 Particle Motion;
 Plasma Physics;
 Tokamak Devices;
 Trajectory Analysis;
 Physics (General)