Prog. Theor. Phys. Vol. 71 No. 2 (1984) pp. 282-294

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Fates of Three-Torus. I

— Double Devil's Staircase in Lockings —

Kunihiko Kaneko

Department of Physics, University of Tokyo, Tokyo 113

(Received July 13, 1983)

Abstract:

Fates of three-torus are investigated by two- or four-dimensional coupled mappings. Three-tori exist for a weak coupling, which become feasible to lock into a torus as the coupling increases. Transition to chaos occurs only via a locking into a cycle. The locking into a torus forms a “double devil's staircase”, which is studied by the modulated circle map. Mechanism of the locking is also discussed.

URL : http://ptp.ipap.jp/link?PTP/71/282/
DOI : 10.1143/PTP.71.282

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Citing Article(s) :

Journal of the Physical Society of Japan 60 (1991) pp. 1533-1540 :
Numerical Study on a Coupled Logistic Map as a Simple Model for Three Competing Species

Kazuhiro Satoh
Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 1112-1115 :
Fractalization of Torus

Kunihiko Kaneko
Progress of Theoretical Physics Vol. 72 No. 2 (1984) pp. 202-215 :
Oscillation and Doubling of Torus

Kunihiko Kaneko
Progress of Theoretical Physics Vol. 72 No. 3 (1984) pp. 480-486 :
Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic Lattice

Kunihiko Kaneko
Progress of Theoretical Physics Vol. 74 No. 5 (1985) pp. 1033-1044 :
Spatiotemporal Intermittency in Coupled Map Lattices

Kunihiko Kaneko