Phys. Rev. E 65, 026211 (2002) [4 pages]Stochastic ionization through noble tori: Renormalization resultsReceived 23 April 2001; revised 4 October 2001; published 22 January 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.026211
DOI:
10.1103/PhysRevE.65.026211
PACS:
05.45.Ac, 32.80.Rm, 05.10.Cc
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