Instabilities and degeneracies of the four-dimensional stochastic web
نویسندگان
چکیده
We discover a fundamental mechanism for the sharp increase in the diffusion rate of the motion of a charged particle in a uniform magnetic field when a time-periodic electricfield propagating orthogonally to the magnetic field is slightly tilted. It is associated with the degeneracies of the underlying motion; in fact, a two-degree of freedom mechanism of instability induces this behaviour. Unfolding of this degeneracy enables the analysis of the separatrix splitting in some limits, giving a power-law rather than the typical exponential estimate of the splitting. AMS classification scheme numbers: 70K50, 70K05, 58F05, 58F13, 58F14, 34C37
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