Banaji Murad, Boros Balázs, Hofbauer Josef
University of Oxford, Oxford, UK.
University of Vienna, Vienna, Austria.
J Nonlinear Sci. 2025;35(4):72. doi: 10.1007/s00332-025-10165-4. Epub 2025 May 17.
We consider local bifurcations of equilibria in dynamical systems arising from chemical reaction networks with mass action kinetics. In particular, given any mass action network admitting a local bifurcation of equilibria, assuming only a general transversality condition, we list some enlargements of the network which preserve its capacity for the bifurcation. These results allow us to identify bifurcations in reaction networks from examination of their subnetworks, extending and complementing previous results on the inheritance of nontrivial dynamical behaviours amongst mass action networks. A number of examples are presented to illustrate applicability of the results.
我们考虑具有质量作用动力学的化学反应网络所产生的动力系统中平衡点的局部分岔。特别地，对于任何允许平衡点局部分岔的质量作用网络，仅假设一个一般的横截性条件，我们列出了该网络的一些扩展，这些扩展保持了其分岔能力。这些结果使我们能够通过检查反应网络的子网来识别分岔，扩展并补充了先前关于质量作用网络中非平凡动力学行为继承性的结果。给出了一些例子来说明这些结果的适用性。
