带原子化的Becker-Doering方程的时间振动性
Temporal oscillations in Becker-Doering equations with atomization
摘要：
我们证明了时间周期解出现在一个有限的封闭系统的凝聚-碎裂方程的Hopf分支。我们处理的系统是一个变种的贝克尔-多林方程，其中集群增长或收缩的添加或删除单体。为此，增加了最大尺寸的簇的线性原子化反应。该系统的结构是由物理化学中的气体演化振荡器模型激发的，该模型在一定的输入/输出条件下表现出时间振荡。
英文摘要：
We prove that time-periodic solutions arise via Hopf bifurcation in a finite closed system of coagulation-fragmentation equations. The system we treat is a variant of the Becker-Doering equations, in which clusters grow or shrink by addition or deletion of monomers. To this is added a linear atomization reaction for clusters of maximum size. The structure of the system is motivated by models of gas evolution oscillators in physical chemistry, which exhibit temporal oscillations under certain input/output conditions.
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