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Prog. Theor. Phys. Vol. 76 No. 4 (1986) pp. 784-801

[ Full Text PDF : FREE ACCESS (833K) ]

Global Spectral Structures of Intermittent Chaos

Hazime Mori, Hisao Okamoto, Byon Chol So and Shoichi Kuroki

Department of Physics, Kyushu University 33, Fukuoka 812

(Received June 6, 1986)

Abstract:

Power spectra of intermittent chaos near its onset point are formulated in order to clarify fluctuations of periodic laminar motions caused by turbulent bursts. It is shown that the power spectra exhibit eminent peaks at selected frequencies mω0 with m=0, 1, 2, … and an eigenfrequency ω0 of the laminar motions. The peak at zero frequency is produced by fluctuations of durations of the laminar motions, whereas the peaks at nonzero frequencies are generated by jumps of phase shifts of the laminar motions by bursts. The shape of each peak turns out to obey an inverse-power law 1/| ω- mω0|ζm with a universal exponent ζm. For the type I intermittency caused by the saddle-node bifurcation, ζ0=1, ζ1=2 under normal reinjections, whereas ζ0=ζm=1 if reinjections are restricted to the upper half of a narrow channel of the tangent map. For the type of III intermittency caused by the inverted period-doubling bifurcation, ζm=3/2 for m≧1.


URL : http://ptp.ipap.jp/link?PTP/76/784/
DOI : 10.1143/PTP.76.784

[ Full Text PDF : FREE ACCESS (833K) ] Citation:

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Citing Article(s) :

  1. 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
  2. Progress of Theoretical Physics Vol. 79 No. 3 (1988) pp. 581-599 :
    Global Spectral Structures of Type III Intermittent Chaos
    Hisao Okamoto, Hazime Mori and Shoichi Kuroki
  3. Progress of Theoretical Physics Vol. 79 No. 6 (1988) pp. 1260-1264 :
    Power Spectra of Intermittent Chaos Due to the Collapse of Period-3 Windows
    Nobuyuki Mori, Shoichi Kuroki and Hazime Mori
  4. 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
  5. Progress of Theoretical Physics Vol. 86 No. 3 (1991) pp. 581-586 :
    Intermittent Chaos Generated by Logarithmic Map
    Takeshi Kawabe and Yoshiro Kondo
  6. 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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