On the Formation of Dissipative Structures in Reaction-Diffusion Systems : Reductive Perturbation Approach
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概要
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A unified viewpoint on the dynamics of spatio-temporal organization in various reaction-diffusion systems is presented. A dynamical similarity law attained near the instability points plays a decisive role in our whole theory. The method of reductive perturbation is used for extracting a scale-invariant part from original macroscopic equations of motion. It is shown that in many cases the dynamics near the instability point is governed by the time-dependent Ginzburg-Landau equation with coefficients which are in general complex numbers. An important effect of the imaginary parts of these coefficients on the stability of a spatia1 1y uniform limit cycle against inhomogeneous perturbation is also discussed.
- 理論物理学刊行会の論文
- 1975-09-25
著者
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Kuramoto Y
Kyoto Univ. Kyoto Jpn
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Kuramoto Yoshiki
Department Of Mathematics Graduate School Of Science Hokkaido University
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Tsuzuki Toshio
Department Of Physics Faculty Of Science Kyushu University
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