Linear Oscillator Perturbed by Plane Electrostatic Waves
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A charged particle gyrating in a uniform magnetic field directed along the axis interacts with electrostatic waves, with equal wavenumbers and amplitudes but differing frequencies , propagating along the axis. Resonance occurs when (where is the cyclotron frequency). A stochastic web is then generated, as can be observed from its Poincaré map.
Contributed by: Enrique Zeleny (April 2013)
Open content licensed under CC BY-NC-SA
The equation of motion is
where is the temporal frequency of the electrostatic wave. Thus we can derive the Hamiltonian, choosing :
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