最小三维生化反应模型的可积性分析

IF 2.9 2区 化学 Q2 CHEMISTRY, MULTIDISCIPLINARY
A. Amen
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引用次数: 1

摘要

本文用反应格式研究了三维系统中最小生化系统模型的复杂动力学。该模型由三个带五个正实参数的非线性常微分方程系统来描述,并进行了分析和研究。我们对它们的不变代数曲面和指数因子进行了深入的分析,并研究了该模型的可积性和不可积性。特别地,我们证明了平衡点邻域中多项式积分、有理积分、达布积分和局部解析第一积分的不存在性。此外,我们还证明了该模型在有理函数类的Bogoyavlensky意义上是不可积的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Integrability Analysis of the Smallest 3D Biochemical Reaction Model
In this paper the complex dynamics of a smallest biochemical system model in three-dimensional systems with the reaction scheme. This model is described by a system of three nonlinear ordinary differential equations with five positive real parameters, are analyzed and studied. We present a thorough analysis of their invariant algebraic surfaces and exponential factors and investigate the integrability and nonintegrabilty of this model. Particularly, we show the non-existence of polynomial, rational, Darboux and local analytic first integrals in a neighborhood of the equilibrium. Moreover, we prove that, the model is not integrable in the sense of Bogoyavlensky in the class of rational functions.
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来源期刊
CiteScore
4.40
自引率
26.90%
发文量
71
审稿时长
2 months
期刊介绍: MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.
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