Linear Oscillator Perturbed by Plane Electrostatic Waves

p

0

3.68

q

0

2.11

n

3

ϵ

1.62

ω

7

steps

5000

view

plot	Poincaré map

A charged particle gyrating in a uniform magnetic field directed along the

z

axis interacts with

n

electrostatic waves, with equal wavenumbers and amplitudes but differing frequencies

ω

i

, propagating along the

x

axis. Resonance occurs when

ω=nΩ

(where

Ω

is the cyclotron frequency). A stochastic web is then generated, as can be observed from its Poincaré map.