Non-birkhoff periodic orbits of farey type and dynamical ordering in the standard mapping. II

Progress of Theoretical Physics

Volumn 118, Issue 4, 2007, Pages 675-699

  Yamaguchi, Yoshihiro ^a   Tanikawa, Kiyotaka ^b  

^a TEIKYO HEISEI UNIVERSITY   (Japan)

^b NATIONAL ASTRONOMICAL OBSERVATORY OF JAPAN   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38549102451     PISSN: 0033068X     EISSN: 13474081     Source Type: Journal    
DOI: 10.1143/PTP.118.675     Document Type: Article

References (7)

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2. A. Bogomolny, http://www.cut-the-knot.org/blue/Stern.shtml
3. R. de Vogelaere, in Contribution to the theory of nonlinear oscillation, Vol. IV, ed. S. Lefschetz (Princeton University Press, 1958), p. 53.
4. P. Collins, Int. J. Bifurcation and Chaos 12 (2002), 605.
5. G. D. Birkhoff, Dynamical Systems (Amer. Math. Soc., 1927).
6. Y. Yamaguchi and K. Tanikawa, Prog. Theor. Phys. 107 (2002), 1117.
7. Y. Aizawa, Y. Kikuchi, T. Harayama, K. Yamamoto, M. Ota and K. Tanaka, Prog. Theor. Phys. Suppl. No. 98 (1989), 36.