N阶分歧点处解分支的数值逼近

Numerical Approximations of Solution Branches of a Corank N Bifurcation Point

对任意有限阶分歧点处解分支的数值逼近进行了研究。给出了解分支扩充系统 [1 ]的逼近形式 ,证明了其解的存在性 。

Numerical approximations of solution branches of a corank N bufurcation point is studied in this paper. Approximation form of extended system for approximating solution branches are constructed. The existence of its solution is proved, with error estimation of solution being presented.