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Prog. Theor. Phys. Vol. 83 No. 5 (1990) pp. 850-874

[ Full Text PDF : FREE ACCESS (1125K) ]

Topological Structure in Flow Systems

Tatsuya Uezu

Department of Physics, Nara Women's University, Nara 630

(Received December 15, 1989)

Abstract:

Rules for the change of the torsion number and the relative torsion number are proved for pitchfork, period doubling and period multiplying bifurcations. The change of these quantities are investigated in 2n bifurcation regime in the Rössler model. Global topology change in a parameter space is investigated in the Lorenz model.


URL : http://ptp.ipap.jp/link?PTP/83/850/
DOI : 10.1143/PTP.83.850

[ Full Text PDF : FREE ACCESS (1125K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 93 No. 6 (1995) pp. 1135-1140 :
    On the Topological Aspect in General-Dimensional Dynamical Systems
    Tatsuya Uezu and Hirotsugu Kubo

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