A New Method of Nonlinear Analysis for Threshold and Shaping Actions in Transient States

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概要

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• Threshold and shaping actions of a dynamical system are analyzed in the phase plane. Attention is focussed on two kinds of curves (A-type and R-type curves) of the trajectory. The A-type curve causes the stabilization of the process, such as the shaping action; while the R-type curve causes the growth of the difference between two states of the system, such as the threshold action. As curves corresponding to the A-type (or R-type) curves, an A-inflector (or R-inflector) is defined. Their properties are investigated. The A-type (R-type) curve is located in the neighborhood of the A-inflector (R-inflector). The BVP model of an excitable membrane is taken as an example. This model is analyzed by the use of the A-inflector and the R-inflector. An algebraical equation for the threshold value and a necessary condition for the occurrence of threshold action are discussed.

• 理論物理学刊行会の論文
• 1981-07-25

著者

• Okuda Masami

  Department Of Food Science And Technology Kyoto University

• Okuda Masami

  Department Of General Education Osaka Institute Of Technology

• Okuda Masami

  Department of Chemistry, Faculty of Science and Technology, Keio University

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