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首页> 外文会议>International Symposium on Knowledge and Systems Sciences(KSS2004); 20041110-12; Ishikawa(JP) >Chemical Kinetic Systems Derived from Chaotic Arms Races Model
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Chemical Kinetic Systems Derived from Chaotic Arms Races Model

机译：混沌军备竞赛模型衍生的化学动力学系统

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摘要

Four-dimension chaotic arms races model is first converted into chemical reaction models with Poland method and Samardzija's nonlinear transformation method respectively. The obtained kinetic models exhibit chaotic behavior and have the same qualitative phase space features as that of the original system. So far arms race still exists in our world, therefore the study of this problem continues to be of practical significance. There have been many arms races models reported and reviewed. The model studied in this paper is based on a four-variable system proposed by Tomoch and Kono to describe the chaotic evolution of the arms races. It is well known that chemistry is an experimental science and some theoretical models of other fields can be studied with practical chemical reactions. But the variables in chemical systems can not adopt negative because the concentrations of molecular species can never be negative. Therefore, when we use chemical mechanisms to study dynamical behaviors of an arms races model we must make some mathematical transformations, with which the model can be transformed into a dynamically related chemical system admitting only nonnegative concentrations. In present paper, we make this transformation with linear method and nonlinear method respectively. The obtained chemical kinetic models have the same qualitative phase space features as that of the original system. Studying arms races problem with chemical reaction mechanism, to our knowledge, has not been reported before and is interesting and of significance.
机译：首先用波兰方法和萨玛兹亚的非线性变换方法将四维混沌军备竞赛模型分别转换为化学反应模型。所获得的动力学模型表现出混沌行为，并且具有与原始系统相同的定性相空间特征。迄今为止，军备竞赛仍然存在于我们的世界中，因此对这一问题的研究仍然具有现实意义。已经报道和审查了许多军备竞赛模型。本文研究的模型基于Tomoch和Kono提出的四变量系统来描述军备竞赛的混沌演化。众所周知，化学是一门实验科学，可以通过实际的化学反应研究其他领域的一些理论模型。但是化学系统中的变量不能采用负值，因为分子种类的浓度永远不能为负值。因此，当我们使用化学机制研究军备竞赛模型的动力学行为时，我们必须进行一些数学转换，利用该数学转换，可以将模型转换为仅允许非负浓度的动态相关化学系统。在本文中，我们分别使用线性方法和非线性方法进行此转换。所获得的化学动力学模型具有与原始系统相同的定性相空间特征。据我们所知，用化学反应机理研究军备竞赛问题以前没有被报道过，并且很有趣并且具有重要意义。

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