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Prog. Theor. Phys. Vol. 79 No. 3 (1988) pp. 581-599

Global Spectral Structures of Type III Intermittent Chaos

Hisao Okamoto, Hazime Mori and Shoichi Kuroki

Department of Physics, Kyushu University 33, Fukuoka 812

(Received September 28, 1987)

Abstract:

Power spectra of type III intermittent chaos near its onset point are investigated by developing a statistical-physical theory of power spectra of intermittent chaos due to Mori et al. It is shown that the power spectra exhibit eminent peaks at selected frequencies m ω₀ with m = 0, 1/2, 1, 3/2, 2, …, where ω₀ is an eigenfrequency of laminar oscillations. The peaks at nonzero integers are produced by the laminar oscillations with frequency ω₀ and higher harmonics, as has been investigated in type I intermittent chaos, whereas the peaks at half integers are generated by the inverted period-doubling bifurcation. The shapes of these peaks are characterized by the fluctuations of durations and amplitude modulations of the laminar oscillations and by the random jumps of their phase shifts by bursts. Thus it turns out that the shape of each peak obeys an inverse-power law 1/|ω- m ω₀|^ζm with a universal exponent ζ_m, where ζ_m = 1/2 if m is 0 or a half integer and ζ_m = 3/2 if m is an integer, and there exists a small saturation frequency which tends to zero as the onset point is approached.

URL : http://ptp.ipap.jp/link?PTP/79/581/
DOI : 10.1143/PTP.79.581

[ Full Text PDF : FREE ACCESS (819K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Journal of the Physical Society of Japan 57 (1988) pp. 4055-4062 :

   Type-III Intermittency in a Coupled Nonlinear LCR Circuit

   Kazuhiro Fukushima and Tomoji Yamada

2. Progress of Theoretical Physics Vol. 81 No. 1 (1989) pp. 60-77 :

   Scaling Structures and Statistical Mechanics of Type I Intermittent Chaos

   Nobuyuki Mori, Tatsuharu Kobayashi, Hiroki Hata, Terumitsu Morita, Takehiko Horita and Hazime Mori

3. Progress of Theoretical Physics Supplement No.99 (1989) pp. 1-63 :

   Statistical Mechanics of Dynamical Systems

   Hazime Mori, Hiroki Hata, Takehiko Horita and Tatsuharu Kobayashi

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