Chemical reaction systems with a homoclinic bifurcation: an inverse problem
Chemical reaction systems with a homoclinic bifurcation: an inverse problem
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DOI：
10.1007/s10910-016-0656-1
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发表时间：
2016-11-01
影响因子：
1.7
通讯作者：
Erban, Radek
中科院分区：
文献类型：
--
作者：
Plesa, Tomislav;Vejchodsky, Tomas;Erban, Radek
提出了构造具有规定性质的反应体系的反问题框架。动力学转换被定义和分析为框架的一部分，允许任意多项式常微分方程映射到可以表示为反应网络的方程。该框架用于构造特定的二维和三维双稳反应体系，并讨论了其相空间的拓扑结构。
An inverse problem framework for constructing reaction systems with prescribed properties is presented. Kinetic transformations are defined and analysed as a part of the framework, allowing an arbitrary polynomial ordinary differential equation to be mapped to the one that can be represented as a reaction network. The framework is used for construction of specific two- and three-dimensional bistable reaction systems undergoing a supercritical homoclinic bifurcation, and the topology of their phase spaces is discussed.