节点文献
基于有效精度的Logistic混沌方程计算轨道偏离研究
Research on Computing Orbit Deviation in the Logistic Chaotic Equation Based on Effective Precision
【摘要】 Logistic混沌方程在计算机系统中的计算轨道受到计算机浮点运算有效精度影响会偏离最初的原始轨道.Logistic混沌方程真实轨道分析结果表明,在目前的计算机系统中很难实现真实轨道的计算.IEEE 754浮点运算标准与计算系统中有效精度的关系分析结果表明:Logistic混沌方程的计算轨道和真实轨道随着迭代次数的增加,计算轨道逐渐与真实轨道分离;计算机的有效精度很大程度上影响着Logistic混沌方程计算轨道与真实轨道的分离速度.
【Abstract】 The computing orbit of the Logistic chaotic equation in computer system will deviate from the original orbit due to the effective precision of computer floating-point operation.The real orbit of the Logistic chaotic equation is analyzed and the experiment shows that it is difficult to compute the real orbit in the current computer system; the relationship between the IEEE 754 floating-point operation standard and the effective precision in the calculation system is analyzed and shows that firstly the computing orbit of the Logistic chaotic equation and the real orbit increase with iteration, the computing orbit is gradually separated from the real orbit; secondly, the effective precision of the computer significantly affects the separation speed between the computing orbit and the real orbit of the Logistic chaotic equation.
【Key words】 Logistic; chaotic equation; computing orbit; effective precision;
- 【文献出处】 牡丹江师范学院学报(自然科学版) ,Journal of Mudanjiang Normal University(Natural Sciences Edition) , 编辑部邮箱 ,2022年03期
- 【分类号】V412.41
- 【下载频次】56