Stochastic ionization through noble tori: renormalization results.
We find that chaos in the stochastic ionization problem develops through the breakup of a sequence of noble tori. In addition to being very accurate, our method of choice, the renormalization map, is ideally suited for analyzing properties at criticality. Our computations of chaos thresholds agree closely with the widely used empirical Chirikov criterion.
Chandre
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Center for Nonlinear Science, School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332-0430, USA.
Uzer
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