Dynamics of a Charged Particle in a Magnetic Field with a Kicked Electric Field
This web map is generated from the Hamiltonian for charged particles in an electric field in the presence of a constant uniform magnetic field with a periodically kicked linear oscillator. For , with integer values of , the kicks and oscillations enter into resonance and the particles diffuse, eventually covering the entire phase space. This is one classic example of chaotic dynamics.
The map is determined by:
where is the intensity of the kicks and is the rotation angle between kicks.
 A. Lichtenberg and M. Lieberman, Regular and Chaotic Dynamics, 2nd ed., AMS 038, New York: Springer, 1992 p. 238.