Non-Birkhoff Orbits with 2n Turning Points in the Standard Map

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概要

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• One of the two fixed points of the standard map gives rise to a period-doubling bifurcation and becomes a saddle with reflection beyond a certain parameter value. In association with this bifurcation, symmetric non-Birkhoff periodic orbits (SXBOs) with 2n (n ≥ 2) turning points appear and exhibit complicated behavior. We first analyze the structure of stable and unstable manifolds of this saddle and then derive dynamical order relations for these SNBOs and show that a period-3 SXBO implies the existence of SXBOs with all possible numbersof turning points.

• 理論物理学刊行会の論文
• 2003-02-25

著者

• YAMAGUCHI Yoshihiro

  Teikyo Heisei University

• Tanikawa Kiyotaka

  National Astrunomical Observatory

• Tanikawa Kiyotaka

  National Astronomical Obseruatory

• Yamaguchi Yoshihiro

  Teikyo Heisei Univ. Chiba Jpn

• TANIKQWA Kiyotaka

  National Astronomical Observatory

• Yamaguchi Yoshihiro

  Laboratory of Applied Microbiology, Department of Microbial Biotechnology, Graduate School of Agricultural Science, Tohoku University

• YAMAGUCHI Yoshihiro

  Department of Physics, Science University of Tokyo

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