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Prog. Theor. Phys. Vol. 108 No. 4 (2002) pp. 669-678

[ Full Text PDF : FREE ACCESS (473K) ]

Dynamical Ordering of Periodic Accelerator Modes in the Standard Mapping

Yoshihiro Yamaguchi1 and Kiyotaka Tanikawa2

1Teikyo Heisei University, Ichihara 290-0193, Japan
2National Astronomical Observatory, Mitaka 181-8588, Japan

(Received July 18, 2002)

Abstract:

In the standard mapping, period-q (≥1) accelerator modes appear through saddle-node bifurcations just after the destruction of the last KAM (Kolmogorov-Arnold-Moser) curve. Using the orbital symmetry resulting from reversibility, we derive the dynamical ordering for the orbits of symmetric accelerator modes.


URL : http://ptp.ipap.jp/link?PTP/108/669/
DOI : 10.1143/PTP.108.669

[ Full Text PDF : FREE ACCESS (473K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 108 No. 6 (2002) pp. 987-997 :
    Non-Symmetric Periodic Points in Reversible Maps
    Kiyotaka Tanikawa and Yoshihiro Yamaguchi
  2. Progress of Theoretical Physics Vol. 111 No. 5 (2004) pp. 689-705 :
    Oscillatory Orbits in the Standard Mapping
    Yoshihiro Yamaguchi and Kiyotaka Tanikawa

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