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Dynamics of a Charged Particle in a Magnetic Field with a Kicked Electric Field

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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.

Contributed by: Enrique Zeleny (August 2012)
Open content licensed under CC BY-NC-SA

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Details

The map is determined by:

, ,

where is the intensity of the kicks and is the rotation angle between kicks.

References

[1] A. Lichtenberg and M. Lieberman, Regular and Chaotic Dynamics, 2nd ed., AMS 038, New York: Springer, 1992 p. 238.

[2] G. Zaslavsky. Scholarpedia, 2(10):3369 (2007). "Zaslavsky Web Map." (Aug 20, 2012) www.scholarpedia.org/article/Zaslavsky_web_map.

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