Prog. Theor. Phys. Vol. 78 No. 6 (1987) pp. 1203-1208

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Letters

Continued Fraction Expansion of Fluctuation Spectrum and Generalized Time Correlation

Hirokazu Fujisaka and Masayoshi Inoue

Department of Physics, Kagoshima University, Kagoshima 890

(Received July 24, 1987)

Abstract:

A practical approximation method for the fluctuation spectrum and generalized time correlation for a time series observed in stochastic or chaotic dynamics is proposed by utilizing the continued fraction expansion. The present approach enables us to evaluate the fluctuation spectrum and generalized time correlation in a systematic way without trying to find exact solutions of the eigenvalue problem.

URL : http://ptp.ipap.jp/link?PTP/78/1203/
DOI : 10.1143/PTP.78.1203

References:

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Citing Article(s) :

Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 296-312 :
Spatial and Temporal Scaling Properties of Strange Attractors and Their Representations by Unstable Periodic Orbits

Terumitsu Morita, Hiroki Hata, Hazime Mori, Takehiko Horita and Koji Tomita
Progress of Theoretical Physics Vol. 79 No. 4 (1988) pp. 758-764 :
Characterization of Statistically Homogeneous Fluctuations

Hirokazu Fujisaka and Masayoshi Inoue
Progress of Theoretical Physics Vol. 81 No. 6 (1989) pp. 1146-1157 :
Dynamic Scaling Law of Order- q Time Correlation Function

Hirokazu Fujisaka, Akira Yamaguchi and Masayoshi Inoue
Progress of Theoretical Physics Vol. 83 No. 1 (1990) pp. 22-28 :
Scaling Behaviors of Fluctuation Spectra for Chaotic Dynamics

Masayoshi Inoue, Osamu Yamaki and Hirokazu Fujisaka
Progress of Theoretical Physics Vol. 85 No. 2 (1991) pp. 187-204 :
New Asymptotic Law Governing Overall Temporal Correlations in Chaotic Systems

Hirokazu Fujisaka and Hiroshi Shibata
Progress of Theoretical Physics Supplement No.99 (1989) pp. 82-94 :
“Thermodynamics”, Temporal Correlations and Scaling Laws

Hirokazu Fujisaka and Masayoshi Inoue