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Prog. Theor. Phys. Vol. 76 No. 1 (1986) pp. 11-22

[ Full Text PDF : FREE ACCESS (685K) ]

Fractal Dimension of Strange Repellers in One-Dimensional Iterated Mappings

Shinji Takesue

Department of Physics, University of Tokyo, Tokyo 113

(Received January 23, 1986)

Abstract:

The nature of the transient chaos in one-dimensional iterated mappings is studied. Possible relations between the fractal dimension of strange repellers and the escape rate are investigated numerically and analytically especially near boundary crises. As the result we find a general upper bound of the fractal dimension and an asymptotic relation which holds near boundary crises.


URL : http://ptp.ipap.jp/link?PTP/76/11/
DOI : 10.1143/PTP.76.11

[ Full Text PDF : FREE ACCESS (685K) ] Citation:

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