区间上N型函数的一般迭代性质研究
Research on General Iterative Properties of N-Type Functions on the Interval
摘要:
折线函数的迭代性质研究，折线函数是最简单的非线性函数，函数数值迭代运算下可以交叉于不同的子区间，导致迭代情况极其复杂。前人已经对折线函数的2次迭代、单折点的折线函数的迭代进行了研究，本文在此基础上，对两个折点时的折线函数中的(N型)的迭代进行了讨论，利用折点的运动轨道变化来探索迭代下折点在迭代情况，并在若干情形下给出其n次迭代表达式。
Abstract:
In this paper, we mainly discuss the iterative properties of polygonal function. Although polygonal function is the simplest nonlinear function, it can cross different sub intervals under the numerical iterative operation, which makes the iterative situation extremely complex. Predecessors have studied the second iteration of polygonal function and the iteration of polygonal function with single vertex. Based on this, this paper discusses the (N-type of function) iteration of polygonal function with two vertex, explores the iterative situation of the vertex by using the dynamics orbit of the vertex, and gives its n-times iterative representation in some cases.
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