摘要
Logistic方程存在不动点和短周期现象,为了研究Logistic方程在轨道中的特点,选取初始状态值为0.75进行迭代,方程在控制参数值等于4时,存在着不动点.本文对不动点附近的短周期轨道进行混沌周期研究,目标是揭示不动点与短周期之间的关系,通过研究不动点附近轨道的规律深入研究混沌轨道的特性.实验结果表明,在低精度时,初始状态值为0.75处存在着短周期现象;高精度迭代也存在短周期现象.
Logistic equation has the phenomenon of the fixed point and the short period.In order to study the property of Logistic equation in trajectories the initial status value of 0.75 is selected for the iteration.When the value of the control parameter is equal 4 in Logistic equation,there is a fixed point.This paper introduces the research of chaotic period with short periodic orbits near the fixed point.The goal is to reveal the relationship between the fixed point and the short period.Regularity of the orbit near the fixed point makes a profound study on the property of chaotic trajectories.Experimental results show that there is the short period at the initial status value of 0.75 with low precision.Besides,the situation of the short period exists with high precision in Logistic equation.
作者
宋大华
宋大全
章慧鸣
SONG Dahua;SONG Daquan;ZHANG Huiming(Center of Educational Technology and Information,Mudanjiang Medical University,Mudanjiang 157011,China;Center of Academic Theory Research,Mudanjiang Normal University,Mudanjiang 157011,China;College of Computer Science and Technology,Harbin University ofScience and Technology,Harbin 150080,China)
出处
《牡丹江师范学院学报（自然科学版）》
2020年第1期22-26,共5页
Journal of Mudanjiang Normal University：Natural Sciences Edition
基金
黑龙江省省属高等学校基本科研业务费科研项目（2018-KYYWFMY-0093）
黑龙江省自然科学基金项目(F201304)
