The Wiener-Hermite Expansion with Time-Dependent Ideal Random Function. II : The Three-Mode Model

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概要

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• The Wiener-Hermite expansion with the time-dependent ideal random variable is applied to the nearly Gaussian cases of the three-mode problem. It is shown that a proper choice of the time-dependent ideal random variable improves the approximation of the truncated Wiener-Hermite expansion and admits the linear approximation in equations for the coefficients of the expansion. The numerical solutions due to the truncated Wiener-Hermite expansion oscillate in time around the equilibrium values, and thus a good estimate of the equilibrium values is obtained as mean values of the oscillation.

• 理論物理学刊行会の論文
• 1971-04-25

著者

• TANAKA SHUHEI

  Department of Plant Pathology, Faculty of Agriculture, Yamaguchi University

• Imamura Tsutomu

  Department Of Physics Kwansei Gakuin University

• Imamura Tsutomu

  Department Of Physics Kaansei Gakuin University

• Tanaka Shuhei

  Department Of Physics Kwansei Gakuin University : Hitachi Electronics Co. Ltd.

• Tanaka Shuhei

  Department Of Biological And Environmental Sciences Faculty Of Agriculture Yamaguchi University

• Tanaka Shuhei

  Department of Biochemistry and Microbiology, Faculty of Pharmaceutical Sciences, Chulalongkorn University

• TANAKA Shuhei

  Department of Physics, Kwansei Gakuin University : Hitachi Electronics Co. Ltd.,

• IMAMURA Tsutomu

  Department of Physics, Kwansei Gakuin University

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