According to the catastrophe of instability of slope,the strange point catastrophe model of the slope system is set up by using the chaotic theory and it is forecast whether the system is chaos by using some methods such as pointcare reflection method,lyapunov exponent method and fractal dimension method,etc.
针对边坡失稳的突变问题,运用混沌理论,建立系统的尖点突变模型,并运用庞加莱映射法、李亚普诺夫指数法、分形维数法等多种方法来预测系统是否处于混沌。
And it explains the application of Lyapunov exponent in the chaos of the electrical engineering.
阐明混沌运动的基本特点：对初始条件的敏感性，非周期无序以及混沌吸引子，同时也阐明了李亚普诺夫指数混沌判据在电机工程中的应用。
Then Poincare diagrams on different sections,Lyapunov exponents diagrams and bifurcation diagram from the period-doubling regime to chaotic counterpart were provided.
为了研究具有双奇异吸引子特性的混沌系统——Newton-Leipnik(N-L)系统的动力学复杂性,首先对其进行了对称性、平衡点特性等初步分析,然后给出了不同截面上的庞加莱截面图形、李亚普诺夫指数图、倍周期过渡到混沌的分岔图,认为系统具有正的最大Lyapunov指数,系统的维数值为分数维。
This paper illustrates that Hopping Frequency (HF) communication and frequency agile radar have chaotic peculiarities, and are chaotic phenomena, with computing singular attractor and their correlative dimensions and Lyapunov exponents from simulation.
该文通过对实测跳频通信和捷变频雷达跳频码的混沌动力学特征量,如奇异吸引子、最大李亚普诺夫指数、关联维数的分析和计算,说明了跳频通信和捷变频雷达跳频码确实具有混沌特性,是一种混沌现象。
Aimed at a kind of uncertain switched system,the keeping-cost control of the state feedback was defined;using the common Lyapunov function method several sufficient conditions of existence the quadratic stable guaranteed cost control law of the uncertain switched system were derived.
针对一类范数有界不确定切换系统,给出了状态反馈保性能控制的定义,利用公共李亚普诺夫函数导出了在任意切换下切换系统二次稳定化保性能控制律存在的充分条件,并将之表示为线性矩阵不等式解的可行性问题,在线性矩阵不等式有解的情况下,给出了保性能控制器的一个参数化表示;进一步以定理的形式给出了最优保性能控制律存在的充分条件。
By Lyapunov function and supermartingales convergence theorem,three results on inequalities with its asymptotic properties are given.
研究了一类具有可变时滞的中立型非线性随机系统解的渐近性质,利用李亚普诺夫函数和半鞅收敛定理,得到了该系统解的三个渐近性质不等式;通过伊藤公式与半鞅收敛定理及不等式技巧建立了确定这种系统解的极限位置的充分条件,并且从这些条件得到了中立型非线性时滞随机系统解的渐近稳定性、多项式渐近稳定性及指数稳定性有效判据,其结果涵盖并推广了毛学荣关于中立型非线性随机系统解的渐近性质方面的部分结论。
Some sufficient conditions guarantee the absolute stability of the systems established by using the method of Lyapunov functions and linear matrix inequality approach, these conditions are independent of time-delay and the limits to the impulse are loosely.
利用李亚普诺夫函数和线性矩阵不等式方法,研究具有时滞的脉冲型Lurie控制系统的绝对稳定性,给出了系统绝对稳定的若干充分条件,这些条件与时滞无关且对脉冲的限制较宽松。
In a test, the computer program of this algorithm found out Lyapunov functions for 40 example systems which were generated in random.
这一算法对中心流形是2维高次的系统通过构造李亚普诺夫函数来判稳有良好的效果。
Firstly,analyze the control method in theory and construct Lyapunov functions,and then test its correctness by simulation experiment.
首先在理论上分析该方法并构造李亚普诺夫函数,然后通过实验仿真来验证它的正确性。
An Improved Method for Forecasting Chaotic Time Series Based on Maximum Lyapunov Exponent
基于最大李亚普诺夫指数的改进混沌时间序列预测
unsteady liapunov function
非定常李亚普诺夫函数
Means of Testing the Terms of Lyapunov Function;
验证李亚普诺夫函数条件的几种方法
liapunov first method
李亚普诺夫第一方法
scalar Lyapunov function
标量李雅普诺夫函数
vector Liapunov function
矢量李亚甫诺夫函数
Research of Resource Evaluation Method Based on the Lyapunov Exponent;
基于李雅普诺夫指数的资源评价方法研究
Quantization of Nonintegrable Systems by Lyapunov Exponents and Periodic Orbits;
李雅普诺夫指数，周期轨迹与不可积体系的量子化
Lyapunov Exponent of Particles under the Conditions of One-dimensional Space with Fixed Boundary;
一维硬边界条件下n粒子系统的李雅普诺夫指数
A Colpitts-Like Chaotic System with Constant Lyapunov Exponents and Its Synchronization
具有恒李雅普诺夫指数的类Colpitts混沌系统及其同步
Analysis of Panel Thermal Flutter Using Maximum Lyapunov Exponent
基于最大李雅普诺夫指数的壁板热颤振特性分析
Liapunov's stability criterion
李雅普诺夫稳定性判据
On the Construction of Liapunov Functions of Two Nonlinear Third Order Systems;
两个三阶非线性系统的李雅普诺夫函数的构造
The structure of V function in Lyapunov's stableness theory
李雅普诺夫稳定性理论中V函数的构造研究
By means of suitable Lyapunov functionals, the exponential stability of periodic solutions for shunting inhibitory cellular neural networks( SICNNs) with delays and variable coefficients is studied.
利用适当的李亚普若夫泛函,研究了时滞分流抑制型细胞神经网络的周期解的指数稳定性.
Conditions for permanence is established via the method of comparison involving multiple Liapunov functions.
进而，利用李雅普诺夫函数和比较定理确定了持续生存的条件。
Stability of a Class of Fourth-Order Nonlinear System;
一类四阶非线性系统的李雅普诺夫函数的稳定性
Liapunov theorem of asymptotic stability
李雅普诺夫渐近稳定性定理
