两个非单调点PM函数的非单调高度
Nonmonotonicity Height of PM Functions with two Non-Monotone Points
王安琪 1李林 1许璞森 1金豪杰 1康乾1
作者信息
- 1. 嘉兴大学数据科学学院,浙江 嘉兴 314001
- 折叠
摘要
众所周知,单调函数的非单调高度都为0,而对于非单调的函数,情况将变得非常复杂.由于非单调高度的变化影响迭代根的构造,因此在动力系统的研究中具有重要的意义.将在之前N型PM函数的非单调高度研究的基础上,继续讨论两个非单调点PM函数的非单调高度分类,得到此类函数高度的完整分析,并以此研究其动力学性质.
Abstract
It is well known that the nonmonotonicity height of each monotone function is zero.However,the situation is very complicated for non-monotone functions.Since the variation of nonmonotonicity height is related to the construction of iterative roots,it be-comes an important subject in dynamical systems.Based on the previous work about N-type PM functions,we continue to discuss the classification of nonmonotonicity height for PM functions with two non-monotone points,and then a completed analysis of nonmonotonicity height is given for such functions,which helps to study their dynamic properties.
关键词
PM函数/非单调点/不动点/非单调高度/特征区间Key words
PM function/non-monotone point/fixed point/nonmonotonicity height/char-acteristic interval引用本文复制引用
基金项目
国家自然科学基金(12026207)
浙江省自然科学基金(LY18A010017)
国家级大学生创新创业训练计划(202310354054)
出版年
2024
NETL
NSTL
万方数据