技術者教育のための工学数理の力学教材の改定(43): 遅延微分方程式入門,遅延Logistic Model と遅延Lotka-Volterra 方程式の調和バランス法と多重尺度法による解析

概要

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To update education materials of Mechanics in Engineering Science for Engineering Education, delay differentialequations are introduced to study how they work in nonlinear oscillation systems and engineering applications. Aftera short review on Logistic model and Lotka-Volterra equation, the method of harmonic balance is used to pick up typicalfeatures of the equations, as a fundamental analytical approach. Some examples of the delay effects on the oscillation indelay Logistic model and Lotka-Volterra equation are shown using Mathematica, and this approach may be extended toinclude various problems in engineering applications. Such items on applied mathematics will be added further with theaid of tools like Mathematica.
沼津工業高等専門学校の論文
2014-03-31