Stochastic ionization through noble tori: Renormalization results

2002/01/22 by C. Chandré, C. Chandre, T. Uzer
Physics and Astronomy · #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Theoretical and Computational Physics #nlin.CD

paper · pdf · doi:10.1103/physreve.65.026211

published as Phys. Rev. E 65, 026211 (2002)

openalex publication_date 2002/01/22 · arxiv created 2002/03/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Determination of the threshold of the break-up of invariant tori in a class of three frequency Hamiltonian systems
• A universal instability of many-dimensional oscillator systems