一类二阶非线性泛函微分方程的振动性

讨论了一类二阶非线性泛函微分方程的振动性,得到了该类方程所有解振动的新的充分条件,改进并推广了已有的结果.     

Shear-Force Detection by Reusable Quartz Tuning Fork without External Vibration

Many studies have reported on the use of quartz tuning forks (a type of crystal oscillator used in wristwatches) in the detection of shear force, employed to control the distance between the probe and the sample in a scanning near-field optical microscope. This study focuses on a newly-devised shear force detection method capable of simultaneous non-external oscillation and detection, which also allows for subsequent reuse of a tuning fork. The optimum configuration and tip length for inserting a probe into the slit of a tuning fork have been elucidated. The shear force was detectable in about 5 nm decay length using such conditions.     

基于DFT插值的线性约束最小方差宽带自适应阵列

本文提出一种具有频率不变波束图的线性约束最小方差宽带自适应算法。首先给出了具有频率不变波束图的连续线阵的灵敏度函数与离散线列阵加权系数之间的关系，然后给出了使用DFT插值法求解各子带阵列权系数的方法，最后将DFT插值法应用于线性约束最小方差宽带自适应阵列。理论分析及仿真结果表明，该算法可以在实现最小方差波束形成的同时保持波束图基本不随频率变化，且该方法可以降低宽带自适应阵列的运算量。     

Analysis by electron oscillation in a conventional GC detector

The oscillation of electrons—as driven by AC polarization—can be used to extract a high-sensitivity signal from a conventional electron capture detector. For example, hexachloroethane was detected at a hypercoulometric ratio of 2.0 F/mol, down to ca. 60 fg/s (S/N=3) and with a linear range in excess of two orders of magnitude. The change in carrier gas from nitrogen to argon-methane produced the expected order-of-magnitude increase in optimum oscillation frequency. Anab initio simulation of potentials and ion populations in a heterogeneous electron capture system under a high-frequency AC regime provided further insight into the detector's mechanism: Hypercoulometric response is mainly caused by increased cation-electron recombination in the plasma region, owing to a decreased field gradient and an increased cation concentration.Material taken from doctoral thesis (Dalhousie University, 1987)     

规范变换对求解强耦合非线性振动近似解的应用

本文利用规范变换将谐振子的哈密顿量变换成非线性型，然后将其应用于求非线性强耦合振动的近似解。     

金原子的放大自发辐射脉冲的弛豫振荡

首次报道了由金原子发出的波长627.8nm的放大自发辐射脉冲具有弛豫振荡.得出其在时间域和频率域的规律.这种振荡可能是高增益脉冲辐射系统的一种普遍现象.     

含时滞的线性偏泛函微分方程解的渐近行为

本文对一类含有时滞的抛物偏泛函微分方程解的渐近行为进行了讨论。分别就两种不同的边界条件，采用Ｌｉａｐｕｎｏｖ泛函及Ｌ—ｐ—估计，获得了其解全局稳定、振动的若干简洁充分条件     

一类n维中立型非线性时超微分方程组解的振动性

本应用中立型时超不等式解振动的判别准则和变换技巧，研究了一类n维中立型非线性时超微分方程组{d/dt[Xi-c(t)Xi(t r)] ∑k=1^m1∑j=1^n aij^k(t)Xj(t τk)-∑s=1^m2∑j=1^nbji^s(t)Xj(t δs) bif(σ(t ηi)))=0 σ(t)=∑t=1^n Csxi(t)(i=1,2,…,n)解的振动性,获得了其解振动的判别准则。     

PERTURBED SOLUTION OF SEA-AIR OSCILLATOR FOR THE EL NINO/LA NINO-SOUTHERN OSCILLATION MECHANISM

A class of coupled system to oscillate of the E1 Nino/La Nino-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions and asymptotic behavior of the solution for an ENSO model are obtained.     

高阶中立型方程的强迫振动

讨论了一类具有偏差变元的高阶中立型方程，给出了该类方程解振动的充分条件。