Symmetric Periodic Orbits and Topological Entropy in the Two-Dimensional Cubic Map(Condensed Matter and Statistical Physics)
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概要
- 論文の詳細を見る
We show that a three-fold horseshoe appears in the doubly reversible two-dimensional cubic map including one parameter, a. It is found that the lower bound of the topological entropy h_<top> is ln 3 after the completion of this three-fold horseshoe. For a=0, this map is integrable, and the relation h_<top>=0 holds. We demonstrate that for the case a>0, h_<top>≥ln 2 holds. The dynamical orderings for the symmetric periodic orbits are also derived.
- 理論物理学刊行会の論文
- 2005-12-25
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 Kiyotaka
National Astronomical Obseruatory
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Yamaguchi Yoshihiro
Teikyo Heisei University:national Astronomical Observatory
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Yamaguchi Yoshihiro
Teikyo Heisei Univ. Chiba Jpn
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