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Prog. Theor. Phys. Vol. 77 No. 1 (1987) pp. 1-5

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Letters

Practical Methods of Measuring the Generalized Dimension and the Largest Lyapunov Exponent in High Dimensional Chaotic Systems

Shinichi Sato, Masaki Sano and Yasuji Sawada

Reserch Institute os Electrical Communication, Tohoku University, Sendai 980

(Received August 9, 1986)

Abstract:

Practical methods to extract the generalized dimension Dq and the largest Lyapunov exponent from experimental data are proposed and tested on examples. The measured values agree well with known values. In applications to chaotic signals, convergence of dimension is investigated for varying the delay time and the embedding dimension.


URL : http://ptp.ipap.jp/link?PTP/77/1/
DOI : 10.1143/PTP.77.1

[ Full Text PDF : FREE ACCESS (273K) ] Citation:


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