Global Spectral Structures of Intermittent Chaos : General and Mathematical Physics
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概要
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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 mω_0 with m=0,1,2,… and an eigenfrequency ω_0 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-mω_0|-ζm with a universal exponent ζ_m. for the type I intermittency caused by the sadddle-node bifurcation, ζ_0=1,ζ_1=2 under normal reinjections, whereas ζ_0=ζ_m=1 if reinjections are restricted to the upper half of a narrow channel of the tangent map. For the type III intermittency caused by the inverted period-doubling bifurcation, ζ_m=3/2 for m≧1.
- 理論物理学刊行会の論文
- 1986-10-25
著者
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岡本 寿夫
高知大学理学部情報科学科
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岡本 寿夫
九州大学
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OKAMOTO Hisao
Department of Information Science, Kochi University
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MORI Hazime
Department of Physics, Kyushu University
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KUROKI Shoichi
Department of Physics, Kyushu University
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SO Byon
Department of Physics, Kyushu University
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Mori Hazime
Department Of Applied Physics Faculty Of Engineering Kyushu University
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Kuroki S
Fukuoka Women's Univ. Fukuoka Jpn
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Kuroki Shoichi
Fukuoka Women's University
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Kuroki Shoichi
Department Of Physics Kyushu University
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So Byon
Department Of Physics Kyushu University 33
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So Byon
Department Of Physics Kyushu University
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SO Byon
Faculty of Engineering, Kinki University
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