Quadratic first integrals of kinetic differential equations

被引：5

作者：

Nagy, Ilona ^{[1
]}

Toth, Janos ^{[1
,2
]}

机构：

[1] Budapest Univ Technol & Econ, Dept Math Anal, H-1111 Budapest, Hungary

[2] Eotvos Lorand Univ, Lab Chem Kinet, H-1117 Budapest, Hungary

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2014年 / 52卷 / 01期

关键词：

First integral; Kinetic differential equation; Computational biology and chemistry; MASS-ACTION KINETICS; CHEMICAL-REACTION SYSTEMS; TURING INSTABILITY; SCHEMES;

D O I：

10.1007/s10910-013-0247-3

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Classes of kinetic differential equations are delineated which do have a quadratic first integral, and classes which can not have one. Example reactions corresponding to the obtained kinetic differential equations are shown, and a few figures showing the trajectories of the corresponding systems are also included. Connections to other areas are mentioned and unsolved problems collected. The new results are theoretical, although computational tools are heavily used. Applications from biology and combustion theory will come later.

引用

页码：93 / 114

页数：22

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