Stochastic ionization through noble tori: Renormalization results

Details Stochastic ionization through noble tori: Renormalization results Stochastic ionization through noble tori: Renormalization results

2002-03-29

arxiv.org/abs/nlin/0203062v1

Phys. Rev. E 65, 026211 (2002)

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevE.65.026211

We find that chaos in the stochastic ionization problem develops through the
break-up 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.

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