摘要
我们首先把微分代数系统归结为受限微分方程，且讨论了受限微分系统的参数化问题，即系统的状态空间形式．然后，借助于受限系统的状态空间形式，我们得到了受限微分系统平行于常微分方程的线性化问题和Ｈｏｐｆ分支理论问题的有关结果．
At first of all the differential-algebraic systems are imputed to constrained differential systems, and then the constrained differential systems are reduced to the state space form. Make use of the form, the results on linearization and Hopf bifurcations for the constrained differential systems are obtained.
出处
《应用数学学报》
CSCD
北大核心
2000年第3期429-443,共15页
Acta Mathematicae Applicatae Sinica
关键词
微分代数系统
受限微分系统
HOPF分支
标准型
Differential-algebraic system, constrained differential system, linearization, Hopfbifurcation
