Abstract
When an unperturbed Hamiltonian is degenerate and some resonance conditions are satisfied a stochastic web is formed. A classical example of this phenomena is the wave-particle interaction in a constant uniform magnetic field. Recently, Dana has observed that for wide wave packets, the initial position of the cyclotron orbit center, x c, may influence dramatically the diffusion of particles in phase space. A consistent method for finding the bare-web and the rigorous bounds on the separatrix splitting are derived for arbitrary position of the cyclotronic orbit center. The dramatic, sensitive dependence of the width of the stochastic layer on x c is thus revealed. It is then argued that x c = 0 corresponds to a nongeneric case, resolving contradictory results found for estimating the width of the stochastic layer in the commonly studied x c = 0 case.
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