Lyapunov characteristic exponents(LCEs) provide quantitative criteria allowing one to distinguish between regular and chaotic behaviors for the dynamical system.
建立某纳米尺度振荡器的非线性振动模型,利用李雅谱诺夫特征指数判别该系统是否发生混沌运动。
The spatiotemoral behaviors of smoke-plume are numerically simulated by adjusting different non-linear parameters, with the corresponding Lyapunov exponents considered.
计算了不同参数变化时 ,耦合周期窗口的时空行为发展 ,并且进行了李雅普诺夫指数λ计算。
The Lyapunov exponent of the healthy group s HRV is different from that of the arrhythmia group s HRV.
对心率变异性(HRV)进行了研究,比较了心率正常者与心率失常者HRV之间的最大李雅普诺夫指数上的差别。
An improved algorithm for largest Lyapunov exponent was put forward for rapid identification of chaos in traffic flow.
提出了一种快速判别交通流混沌的最大李雅普诺夫指数改进算法,并用此改进算法和功率谱法研究了高速公路实测交通流的混沌问题,绘制了实测交通流的功率谱曲线。
Based on the common disturbed motion equation of projectiles, Liapunov functionV(X)=XH eX in plural number mode is constituted with the help of Hermite matrix H e and Liapunov s direct method.
以弹箭扰动运动的通用方程为基础 ,运用李雅普诺夫直接法 ,采用厄米特矩阵He ,构造一种复数形式的李雅普诺夫函数V(X) =X HeX。
Furthermore,according to the method of Liapunov functions in the stability theory,both the globally asymptotic stability and the attractive regions of the nonnegative equilibrium in the model are discussed.
同时,对系统解的吸引域以及平衡态的全局稳定性,采用李雅普诺夫函数法进行完整的讨论。
It is discussed that the methods of discrimination of the stability of the singular point of nonlinear autonomous system by using of eigenvalue,center manifold and Liapunov function.
给出了利用特征根、中心流形和李雅普诺夫函数判断非线性自治系统奇点稳定性的方法。
Judgement on the existence of a common quadratic Lyapunov function for a kind of systems;
一类系统的二次李雅普诺夫函数存在性的判断
This paper uses a piecewise linear Lyapunov function and derives a new estimate for solutions of linear time-varying systems.
首先用一个分片线性李雅普诺夫函数对变系数线性微分方程组的解给出一个新估计,然后利用新估计式研究了变系数线性系统对部分变元的稳定性,给出了几个简易实用的渐近稳定性判别新准则。
After Lyapunov function is de- rived,with theoretical analysis,energy-based control design method is discussed in order to solve the global stability problem.
并在构建李雅普诺夫函数及理论分析的基础上提出了基于能量的控制器方法。
On control of discrete-time chaotic systems based on Lyapunov exponents;
基于李雅普诺夫指数的离散混沌系统的控制研究
Analysis method of stability of orbit, the attractors in phase-space, Lyapunov exponents and correlation dimension were conside.
综合考虑相空间吸引子、李雅普诺夫指数以及分维数,提出了一种新的研究系统稳定性分析方法——轨道稳定性分析法。
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
scalar Lyapunov function
标量李雅普诺夫函数
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
unsteady liapunov function
非定常李亚普诺夫函数
Liapunov theorem of asymptotic stability
李雅普诺夫渐近稳定性定理
Lyapunov s Direct Method and Its Applications in Geometry;
李雅普诺夫直接法的几何思想与应用
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
DISCONTINUOUS REGRESSION TREE ESTIMATION OF LARGEST LYAPUNOV EXPONENT
基于不连续回归树的最大李雅谱诺夫指数计算方法
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
Means of Testing the Terms of Lyapunov Function;
验证李亚普诺夫函数条件的几种方法
Stability of Solutions for a Kind of Non-linear System of the Second Order --Make Use of Variable Gradient Method Structure Lyapunov Function;
一类二阶非线性系统解的稳定性——利用变量梯度法构造李雅普诺夫函数