A Remark on the Smoothness of Critical KAM Curves in the Standard Mapping : Condensed Matter and Statistical Physics
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概要
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The smoothness of KAM (Kolmogorov-Arnold-Moser) curves when approaching the critical point which constitutes the existence/non-existence boundary of a KAM curve is investigated in the standard mapping as a typical example of analytical twist mappings. We give numerical results indicating that the KAM curve at the critical point is C^1 , but its derivative is not a function of bounded variation. The fractal distribution function of mapped points on such KAM curves is caused by this unbounded variation.
- 理論物理学刊行会の論文
- 1999-01-25
著者
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Yamaguchi Yoshihiro
Teikyo Heisei Univ. Tokyo Jpn
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Tanikawa Kiyotaka
National Astrunomical Observatory
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Tanikawa Kiyotaka
National Astronomical Obseruatory
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Yamaguchi Yoshihiro
Teikyo Heisei Univ. Chiba Jpn
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Yamaguchi Yoshihiro
Laboratory of Applied Microbiology, Department of Microbial Biotechnology, Graduate School of Agricultural Science, Tohoku University
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YAMAGUCHI Yoshihiro
Department of Physics, Science University of Tokyo
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