通过计算系统Lyapunov指数来进行混沌识别
haotic system identification by calculating the Lyapunov exponent of the system
本文从Logistc映射出发，计算了Logistic映射、Henon映射、Lorenz系统的Lyapunov指数来进行系统的混沌识别，得出系统参数的变化对系统混沌状态的影响。本文从经典的洛仑兹混沌系统出发，研究了系统的稳定性，数值模拟得出混沌的图形，与其它几种混沌相比较，总结出了混沌图形上的相同点。从数学上计算了系统的李雅普诺夫指数，证明了系统进入混沌态。
In this paper, calculate Lyapunov indices of Logistc map, Henon map and Lorenz system of chaos identification and the impact of the changes of system parameters to chaotic state of the system. In this paper, study the stability of the system from the classical Lorenz chaotic system, compared numerical simulation of chaos graphics with several other chaos and get the same point on the graph. Calculate the system\\\\\\\\\\\\\\\
时安琦
物理学自动化基础理论
混沌非线性Lyapunov指数
haosNonlinearLyapunov exponent
时安琦.通过计算系统Lyapunov指数来进行混沌识别[EB/OL].(2010-01-12)[2025-08-10].http://www.paper.edu.cn/releasepaper/content/201001-418.点此复制
评论