Prog. Theor. Phys. Vol. 76 No. 3 (1986) pp. 582-591

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Intermittency Caused by Chaotic Modulation. I

— Analysis with a Multiplicative Noise Model —

Department of Physics, Kyushu Institute of Technology, Kitakyushu 804
^*Department of Physics, Kagoshima University, Kagoshima 890

(Received May 6, 1986)

Abstract:

A two-dimensional mapping system derived from the coupled-chaos system is studied by means of numerical calculations and analytical methods. The mapping system shows the chaos-chaos transition through intermittency. Near the transition point the numerically obtained power spectrum has an inverse power-law dependence for small frequencies. Moreover, the distribution function of the state variable which exhibits the intermittent behavior shows an inverse power-law. These numerical results are analyzed by introducing a multiplicative noise model. Satisfactory agreements of the results obtained from the multiplicative noise model with those of numerical calculations are obtained.

URL : http://ptp.ipap.jp/link?PTP/76/582/
DOI : 10.1143/PTP.76.582

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