摘要
讨论了单模动力系统中,可微平顶函数及任何MSS序列P,存在某一依赖于该序列的特征参数具有唯一性。得出了梯形函数在区间(0, 0.382 9…)上对应于序列P的特征参数的唯一性及序列P大于周期三的特征参数的唯一性,从而在梯形函数的特殊情况下,单模可微平顶函数lP具有的唯一性。
Iterations of continuous self maps on the interval are the most simple model, which arise some interesting mathmatics structures, in dynamical systems. These systems depend on a characteristic parameter controlled with experiment. The paper discusses the contents of unimodal dynamical systems, proving the uniqueness of Pl and then one between 0 and 0.382 9 as unimodal differentiable flat-top functions for any MSS sequence P. It draws a conlusion from the uniqueness of P>RL, and therefore one of P>RL2 in special circumstances for trapezoid functions.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2002年第3期320-324,共5页
Journal of University of Electronic Science and Technology of China
关键词
连续自映射
单模动力系统
可微平顶函数
唯一性
continuous self map
iteration
unimodal dynamical systems
MSS sequence
differentiable flat-top function
