第二类三分子模型的球对称不稳定性

Spherically symmetric instability for a trimolecular model of the second kind

本文采用Hopf分岔理论对第二类三分子模型进行了详细的研究。结果表明,在固定边界条件下,自振荡不稳定性只能出现在稀释过程中。此外,本文还给出了时间周期解的解析表达式。

The self-oscillating instability for a trimolecular model of the second kind is investigated in detail by making use of Hopf Bifurcation theory. The result shows that the self-oscillating instability may only occur in the course of dilution. The time periodic solutions are obtained analytically.