Non-Symmetric Non-Birkhoff Period-2 Orbits in the Standard Mapping | Zendy

Yoshihiro Yamaguchi | Zendy; Kiyotaka Tanikawa | Zendy

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Non-Symmetric Non-Birkhoff Period-2 Orbits in the Standard Mapping

Author(s) -

Yoshihiro Yamaguchi,

Kiyotaka Tanikawa

Publication year - 2001

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.106.691

Subject(s) - physics , bifurcation , symmetry (geometry) , period (music) , periodic orbits , mathematical physics , classical mechanics , geometry , mathematics , quantum mechanics , nonlinear system , acoustics

Period-2 badly ordered orbits (non-Birkhoff orbits) are studied in the standard mapping. Points of symmetric non-Birkhoff orbits appear on symmetry axes due to the saddle-node bifurcation, and non-symmetric non-Birkhoff orbits appear due to the equi-period bifurcation of symmetric non-Birkhoff orbits. The braids of symmetric non-Birkhoff orbits are constructed, and the topological entropy is estimated.

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