# Linear Oscillator Perturbed by Plane Electrostatic Waves

Linear Oscillator Perturbed by Plane Electrostatic Waves

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.

z

n

ω

i

x

ω=nΩ

Ω