|Título||Controlling chaos in wave-particle interactions
Sousa, Meirielen Caetano de
Caldas, Ibere Luiz
Rizzato, Felipe Barbedo
Steffens, Fernanda Monti
|Abstract||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 creates invariant tori in phase space that prevent chaos from spreading to large regions, making the controlled dynamics more regular. We show numerically that the control term just slightly modifies the system but is able to drastically reduce chaos with a low additional cost of energy. Moreover, we discuss how the control of chaos and the consequent recovery of regular trajectories in phase space are useful to improve regular particle acceleration.
|Contido em||Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 86, no. 1 (July 2012), 016217, 7 p.
Fisica de plasmas
|Tipo||Artigo de periódico
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