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Prog. Theor. Phys. Supplement No.139 (2000) pp. 527-534
On the Diagram for the Onset of Global Chaos and Reconnection Phenomena in the Quadratic Nontwist Map
Susumu Shinohara and
Yoji Aizawa
Department of Applied Physics, Waseda University, Tokyo 169-8555, Japan
Abstract:
The quadratic nontwist map is studied by defining the “indicator
points” for the phase space.
The indicator points enable us to obtain useful information concerning
the onset of global chaos and reconnection phenomena.
The diagram obtained by using the indicator points clearly reveals the
effects of the reconnection phenomena on the transition to global
chaos. A discussion is given of the last KAM curve for the quadratic
nontwist map.
URL :
http://ptp.ipap.jp/link?PTPS/139/527/
DOI : 10.1143/PTPS.139.527
References:
- J. Moser, Nachr. Akad. Wiss. Göttingen, Math. -phys. K1, 11a (1962), 1.
- J. N. Mather, Topology 21 (1982), 457.
S. Aubry and P. Y. LeDaeron, Physica D8 (1983), 381.
-
J. E. Howard and S. M. Hohs, Phys. Rev. A29 (1984), 418[APS].
- J. E. Howard and J. Humpherys, Physica D80 (1995), 256.
- J. P. Van der Weele, T. P. Valkering, H. W. Capel and T. Post, Physica A153 (1988), 283.
- J. P. Van der Weele and T. P. Valkering, Physica D169 (1990), 42.
- D. del-Castillo-Negrete, J. M. Greene and P. J. Morrison, Physica D91 (1996), 1.
D. del-Castillo-Negrete, J. M. Greene and P. J. Morrison, Physica D100 (1997), 311.
- S. Shinohara and Y. Aizawa, Prog. Theor. Phys. 97 (1997), 379[PTP].
- S. Shinohara and Y. Aizawa, Prog. Theor. Phys. 100 (1998), 219[PTP].
- C. Simó, Regular and Chaotic Dynamics 3 (1998), 180.
- H. R. Dullin, J. D. Meiss and D. Sterling, preprint (1999).
- A. Delshams and R. de la Llave, preprint (1998).