生化反应器的三维Hopf分支

The Three Dimensional Hopf Bifurcation in a Bioreactor

利用了广义的Liapunov函数和中心流型定理证明了当营养消耗率的倒数为一般多项式时生化反应器竞争系统的三维Hopf分支,并由此三维的Hopf分支导出了该系统极限环的存在性.

By using a generalized Liapunov function and central manifold theorem, the three dimensional Hopf bifurcation for a bio-reactor competition system with polynomial yields is studied. The existence of the limit cycle in the three dimensional system is obtained by the bifurcation.