摘要
分叉点、临界点及不动点是动力系统理论关注的重点 .在这些特殊点及其附近 ,动力系统的变化具有明显特点 .作者深入研究了在这些点处的迭代收敛速度 ,得到一些重要结论 :动力系统在分叉点处的迭代速度很慢 ,而在临界点处的迭代速度则快得多 .
The bifurcate points,critical points and fixed points are emphases of the theory of dynamical systems.At these special points and near it,the change of a dy- namical system has distinct characters. The author studied deeply on the iterated conver- gent speeds of these points,and drew on some importantconclusions. In a dynamical sys- tem,iterated speed is very slow atbifurcate points,butis fastatcritical points,Simulta- neously,this paper show the numerical estimate of the iterated speeds aboutthese points.
基金
山东省自然科学基金资助课题
