Korelia软件中的相平面模型

K. Yankov
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引用次数: 2

摘要

在这项工作中,Korelia程序的可能性分析动态过程的相平面方法进行了探索。动态模型是用专门的编程语言描述的。提出了一种构造过程零线和计算平衡点的算法。点的类型由状态矩阵特征值决定。所有派生的依赖项和参数都以图形形式显示。用尼卡地平治疗实验动物后血浆肾素活性模型说明了该方法。特殊点为初始条件,为稳定焦点型。
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Phase-Plane Models in Korelia Software
In this work, the possibilities of the Korelia program for analysis of dynamic processes by the phase plane method are explored. The dynamics model is described using a specialized programming language. An algorithm for constructing nullclines of the process and for calculating equilibrium points is presented. The type of points is determined by the state matrix eigenvalues. All derived dependencies and parameters are displayed in graphical form. The approach is illustrated by a model of plasma renin activity after treatment of experimental animals with nicardipine. The special point is initial condition and it is of the stable focus type.
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