Dissipative dynamics of a charged particle in the field of three plane waves: chaos and control

摘要

The chaotic dissipative dynamics of a charged particle in the field of threeplane waves is theoretically (Melnikov's method) and numerically (Lyapunovexponents) investigated. In particular, the effectiveness of one of such wavesin controlling the chaotic dynamics induced by the remaining two waves istheoretically predicted and numerically confirmed. Two mechanisms underlyingthe chaos-suppression scenario are identified. One mechanism requireschaos-inducing and chaos-suppressing waves to have both commensuratewavelengths and commensurate relative (with respect to the remaining thirdwave) phase velocities, while the other mechanism allows the chaotic dynamicsto be tamed when such quantities are incommensurate. The present findings maybe directly applied to several important problems in plasma physics, includingthat of the chaos-induced destruction of magnetic surfaces in tokamaks.