A New Method of Nonlinear Analysis for Shaping and Threshold Actions

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概要

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• For a dynamical system x^^・=F(x), an inflector C is defined by C={x∣(A-λI)F=0, ∣A-λI∣=0}, where the matrix A denotes ∂F/∂x. It is seen that C consists of inflection points of trajectories and singular points. The inflector C plays an important role for the threshold and shaping actions n many dynamical systems. As an example, the BVP model of an excitable membrane is investigated by means of the inflector C, and some knowledge about continuous threshold phenomena of the BVP model is obtained.

• 社団法人日本物理学会の論文
• 1976-11-15

著者

• Okuda Masami

  Physics Division Department Of General Education Osaka Institute Of Technology

関連論文

• Growth of an Active Region in Neural Networks
• A New Method of Nonlinear Analysis for Shaping and Threshold Actions

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