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Prog. Theor. Phys. Supplement No.99 (1989) pp. 220-228

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Period-3 Catastrophe and Enhanced Diffusion in Two-Dimensional Hamiltonian Systems

Yoshi H. Ichikawa, Yasuyuki Nomura and Tetsuo Kamimura

National Institute for Fusion Science, Nagoya 464-01

Abstract:

Quantitative analysis of the period-3 catastrophe is developed for the standard map and for the stochastic heating map as illustrative examples of two-dimensional area preserving mappings. Analytic expression of the diffusion coefficient is derived for the stochastic heating, and compared to results of numerical observation. Here, as for the case of the standard map, the multi-periodic accelerator modes give rise to anomalous enhancement of the diffusion rate.


URL : http://ptp.ipap.jp/link?PTPS/99/220/
DOI : 10.1143/PTPS.99.220

[ Full Text PDF : FREE ACCESS (712K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 87 No. 5 (1992) pp. 1087-1106 :
    Fluctuation-Spectrum Approach to Anomalous Enhancement of Diffusive Motion in Chaotic Dynamics
    Sobiyu Yanagida, Hirokazu Fujisaka and Masayoshi Inoue
  2. Progress of Theoretical Physics Vol. 89 No. 5 (1993) pp. 947-963 :
    Anomalous Diffusion and Mixing of Chaotic Orbits in Hamiltonian Dynamical Systems
    Ryuji Ishizaki, Takehiko Horita and Hazime Mori

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