摘要
讨论一个酶催化反应系统的局部分岔.首先得到该系统只有1个或2个孤立平衡点,或者一条奇线,并给出了所有平衡点的定性性质.进一步分析了孤立平衡点在非双曲情形下发生的分岔,包括跨临界分岔和Hopf分岔,通过计算Lyapunov量得出该系统中细焦点阶数为1.最后利用数值模拟验证了所得结论.
In this paper, the local bifurcations of an enzyme catalysed system is studied. Firstly, it shows that this system has either 1 or 2 isolated equilibria, or a singular line. The dynamical properties of each equilibria are given. Then, when the isolated equilibria are non-hyperbolic, it exhibits that this system may undergo transcritical bifurcation and Hopf bifurcation. By Lyapunov quantity, the order of weak focus is proved to be 1. Finally, numerical simulations are employed to illustrate the results obtained.
作者
宿娟
SU Juan(School of Math.,Chengdu Normal Univ.,Chengdu 611130,China)
出处
《高校应用数学学报（A辑）》
北大核心
2019年第2期173-180,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金青年基金(11701050)
成都师范学院教改项目(2018JG37)
