By virtue of the stochastic bifurcation theory , the transition of the atom movement at a crack tip in fatigue damage system is investigated . using the singular point theory of one - dimensional diffusion process and the stochastic averaging approach of energy envelope , a micro - model to describe the atom movement at the crack tip in homoclinic bifurcation fatigue damage system , which is in the presence of stochastic perturbation , is established . after the study on the characteristic of the diffusion exponent , the drift exponent and the character exponent of the fatigue damage diffusion process on singular boundary , the bifurcation behavior of a homoclinic bifurcation fatigue damage system , which is in the presence of parametric white noise , is examined 采用随机分叉理论,探讨疲劳损伤系统裂尖粒子运动性质突变.利用一维扩散过程的奇点理论,并结合能量包络的随机平均法,建立了随机扰动的疲劳损伤同宿分叉系统裂尖粒子运动模型,通过研究奇异边界的扩散指数、漂移指数以及特征指数特性,考查疲劳损伤裂尖粒子运动的同宿分叉系统受参激白噪声影响的分叉行为
We may study the lipschitz exponent characterization of the noise and singular signal and then achieve the goal of removing noise and distilling the real edge lines . the thesis has discussed the calculating of the lipschitz exponent , and analysised and compared the condition between wavelet bases and singularity detection of signal 由于在数学上可以利用lipschitz指数来对信号的奇异性进行详细的刻划,所以我们可以通过对噪声信号和奇异信号的lip指数特性的研究,根据它们的不同特征来达到去除噪声和提取真正边缘的目的。
This paper develops several delay - independent conditions for the robust stability of linear interval systems with delay by applying differential equation theorem and matrix exponential properties . comparisons with previous results are made through remarks . finally , a numerical computation is presented for illustration . 25refs 根据微分方程理论和矩阵指数特性,提出了针对具有线性区间系统的鲁棒稳定性的几个判定条件,并与现有研究结果进行了比较.给出的数值实例表明,所提出的方法改进了相关文献的结果.参25
指数: index number; index特性: characteristic; character; p ...指数特性时间: exponential time指数特性曲线管: exponential tube指数特性时间延迟: exponential time delay对数特性: logarithmic characteristic函数特性: function characteristic计数特性: counting properties虚数特性: imaginary characteristic周波数特性: characteristic influenced by frequency功率因数特性: power factor characteristic; power-factor characteristic磨擦系数特性: reibwertverhalten friction coefficient performance温度瓦数特性: temperature-wattage characteristic优质因数特性: figure of merit characteristic噪声因数特性: noise figure characteristics单参数特性曲线族: one-parametric family of characteristics对数特性图示仪: logarithmic graphic instrument零功率因数特性: zero power factor characteristic零功主因数特性: zero power-factor characteristic线性-对数特性放大器: line-log amplifier零功率因数特性曲线: zero power-factor characteristic无限远处的位函数特性: potential function behavior at infinity脆弱程度指数特设专家组: hoc expert grouon vulnerability indices特性的指数: index of speciality特性氧指数: intrinsic oxygen index