SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1751-1777, January 2020.
We show that if a chemical reaction network (CRN) admits nondegenerate (resp., linearly stable) oscillation, and we add new reversible reactions involving new species to this CRN, then the new CRN so created also admits nondegenerate (resp., linearly stable) oscillation provided certain mild and easily checked conditions are met. This claim that the larger CRN “inherits” oscillation from the smaller one, provided it is built from the smaller CRN in an appropriate way, follows an analogous result involving multistationarity. It also adds to a number of prior results on the inheritance of oscillation; these collectively often allow us to determine the capacity of a given network for oscillation based on an analysis of its subnetworks.

中文翻译：

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通过添加可逆反应建立振荡化学反应网络

SIAM应用数学杂志，第80卷，第4期，第1751-1777页，2020年1月。
我们表明，如果化学反应网络（CRN）允许非简并（线性稳定）振荡，并且我们添加了涉及种类的CRN，那么只要满足某些温和且易于检查的条件，则这样创建的新CRN也允许非简并（线性稳定）振荡。该主张认为，如果以适当的方式从较小的CRN构建较大的CRN，则较大的CRN会“继承”振荡，其遵循的结果涉及多平稳性。它还增加了关于振荡遗传的许多先验结果。这些通常使我们能够基于对子网络的分析来确定给定网络的振荡能力。