Controlling chaos in wave-particle interactions

Controlling chaos in wave-particle interactions.

We analyze the behavior of a relativistic particle moving under the influence of a uniform magnetic field and a stationary electrostatic wave. We work with a set of pulsed waves that allows us to obtain an exact map for the system. We also use a method of control for near-integrable Hamiltonians that consists of the addition of a small and simple control term to the system. This control term cr...

Spatiotemporal Chaos In Three Wave Interactions

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Three-wave interactions and spatiotemporal chaos.

Three-wave interactions form the basis of our understanding of many pattern-forming systems because they encapsulate the most basic nonlinear interactions. In problems with two comparable length scales, it is possible for two waves of the shorter wavelength to interact with one wave of the longer, as well as for two waves of the longer wavelength to interact with one wave of the shorter. Consid...

Wave - particle interactions in rotating mirrors

Plasma Science of Wave-Particle Interactions