Symmetrical Non-Birkhoff Period-3 Orbits in Standard-Like Mappings
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概要
- 論文の詳細を見る
A necessary condition for the existence of non-Birkhoff period-3 orbits is derived in C^0 standard-like mappings. Symmetrical non-Birkhoff period-3 orbits of the pseudo-Anosov braid-type are found. In this case, the standard-like mapping is a pseudo-Anosov system in a certain parameter range. The braid types of all period-3 orbits are derived. Using these braids, a lower bound of the topological entropy is obtained. These orbits do not exist in a horseshoe.
- 理論物理学刊行会の論文
- 2000-11-25
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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