类镍钆(Gd36+)离子的双电子复合系数研究

 在自旋轨道劈裂阵模型下,通过类铜组态理论计算出类镍Gd³⁶⁺的双电子复合速率系数,得出其在电子温度 0.02~5keV 范围内的变化规律,并分析了影响双电子复合速率系数的主要因素是相应的自电离系数和离化势,这为等离子体的诊断提供了一种新的方法。     

The Solitary Waves for Cubic-Quintic Nonlinear Schrödinger Equation with Variable Coefficients

The cubic-quintic nonlinear Schrödinger equation (CQNLS) plays important parts in the optical fiber and the nuclear hydrodynamics. By using the homogeneous balance principle, the bell type, kink type, algebraic solitary waves, and trigonometric traveling waves for the cubic-quintic nonlinear Schrödinger equation with variable coefficients (vCQNLS) are derived with the aid of a set of subsidiary high-order ordinary differential equations (sub-equations for short). The method used in this paper might help one to derive the exact solutions for the other high-order nonlinear evolution equations, and shows the new application of the homogeneous balance principle.     

Stability with respect to partial variables for Birkhoff systems

In this paper, the stability with respect to partial variables for the Birkhoff system is studied. By transplanting the results of the partial stability for general systems to the Birkhoff system and constructing a suitable Liapunov function, the partial stability of the system can be achieved. Finally, two examples are given to illustrate the application of the results.     

两自由度非线性振动系统周期运动及其稳定性研究

运用Liapunov函数方法,对一类两自由度非线性振动系统周期运动及其稳定性进行了研究,得到了存在唯一渐近稳定的周期解的充分条件.     

一类递归小波神经网络的稳定性研究

在小波神经网络（WNNs）和递归神经网络（RNNs）的基础上,提出了一类递归小波神经网络（RWNNs）模型,它具有两种网络模型的优点A·D2根据Liapunov渐近稳定理论,对该模型的渐近稳定性进行了研究,并给出了相关的定理和公式．仿真结果表明该模型对非线性动态系统有良好的辨识效果．     

Thermal Expansion Coefficients of Thin Crystal Films

The formulas for atomic displacements and Hamiltonian of a thin crystal film in phonon occupation number representation are obtained with the aid of Green＇s function theory. On the basis of these results, the formulas for thermal expansion coefficients of the thin crystal film are derived with the perturbation theory, and the numerical calculations are carried out. The results show that the thinner films have larger thermal expansion coefficients.     

多氯联苯的正辛醇-空气分配系数与气相色谱保留参数的关联

通过对19种多氯联苯（PCBs）在DB-1,DB-5和DB-1701等3种色谱柱上的气相色谱（GC）保留参数A,B值与正辛醇-空气分配系数(Koa)的相关分析,发现GC保留参数A,B与Koa存在明显的线性关系。采用了逐步回归的方法,建立了保留参数A,B与Koa的二元回归方程,相关系数的平方达到了0.99以上,标准偏差小于0.11。此外,根据实验测定的153个PCBs的GC保留参数以及定量构效关系（QSAR）研究中的56个预测值,对剩余190种PCBs的Koa值进行了预测。     

Nd0.007Gd0.993VO4晶体折射率和折射率温度系数的测量

利用自准直法,在20℃到170℃温度范围和0.4880μm、0.6328μm、1.0640μm、1.0795μm、1.3414μm等波长测量了Nd0.007Gd0.993VO4晶体的折射率,得到了这种晶体的Sellmeier方程和折射率温度系数.为了验证得到结果的可靠性,利用得到的Sellmeier方程计算1.0640μm的寻常光和异常光的折射率,并与实验测量的结果进行比较,两者的差异不大于2.2×10-4,处在测量误差的范围内.测量结果表明在室温下,对1.0640μm波长的双折射率为0.2201,双折射率温度变化率为4.3×10-6/℃.因此,与YVO4相仿,这种晶体不仅是一种优秀的激光基质材料,而且是一种优秀的双折射晶体.     

Study of particle behaviour at the edge in HT-7 tokamak

The cross-field diffusion coefficient (D_⊥) at the edge in the HT-7 tokamak is close to the Bohm value when the line average electron density ranges from 1.5×10^{19} to 3.0×10^{19}m^{-3}. The energy profile of the particles is derived directly from the H_α(D_α) line shape; the dissociative excitation of molecules is dominating when the local electron temperature is above 10eV. By means of the Monte Carlo method the D_α line shape is also simulated. We find that the molecular dissociation contributes to 57% of neutral atoms and 53% of emission intensity in front of the limiter, and 85% of neutral atoms and 82% of emission intensity in front of the wall. The influence of atomic and molecular processes on the energy balance is discussed for the scrape-off layer (SOL), and the power loss from molecular dissociation is found to be 6×10^4kW at the SOL. The ion Bernstein wave (IBW) can effectively suppress the magnetohydrodynamic behaviour, the fluctuation levels and the turbulence; the D_⊥ in front of the limiter declines from 0.84 to 0.2m^2·s^{-1} and the particle confinement time rises from 9 to 12ms.     

谐和与有界噪声联合参激作用下的Visco-Elastic系统

研究了带visco-elastic项的非线性系统,在谐和与有界噪声联合参激作用下的响应和稳定性问题。用多尺度法分离了系统的快变项,并求出了系统的最大Liapunov指数和稳态概率密度函数,根据最大Liapunov指数可得系统解稳定的充分必要条件。讨论了系统的visco-elastic项对系统阻尼项和刚度项的贡献,给出了随机项和确定性参激强度等参数对系统响应影响的讨论。数值模拟表明该方法是有效的。