Dynamical Ordering of Non-Birkhoff Orbits and Topological Entropy in the Standard Mapping
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概要
- 論文の詳細を見る
The standard mapping is an analytical, reversible monotone twist mapping. The appearance ordering (i.e. the so-called dynamical ordering), of symmetric non-Birkhoff periodic orbits (SNBO) in the standard mapping is derived. Essential use is made of the reversibility. After the establishment of various properties of the symmetry axes under the mapping, two theorems connecting the dynamical ordering are proved. Then, the braids for SNBOs are constructed with the aid of techniques developed in braid group theory. A lower bound of the topological entropy of a system possessing an SNBO is obtained using the eigenvalue of the reduced Burau matrix representation of the braid constructed from the SNBO. The behavior of the topological entropy in the integrable limit is discussed.
- 理論物理学刊行会の論文
- 2002-06-25
著者
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YAMAGUCHI Yoshihiro
Teikyo Heisei University
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TANIKAWA Kiyotaka
National Astronomical Observatory
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Yamaguchi Yoshihiro
Teikyo Heisei Univ. Tokyo Jpn
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Tanikawa K
National Astronomical Observatory Mitaka 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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