Difference Discrete Variational Principle,Euler—Lagrange Cohomology and Symplectic,Multisymplectic Structures II：Euler—Lagrange Cohomology

In this second paper of a series of papers,we explore the difference discrete versions for the Euler-Lagrange cohomology and apply them to the symplectic or multisymplectic geometry and their preserving properties in both the Lagrangian and Hamiltonian formalisms for discrete mechanics and field theory in the framework of multiparameter differential approach.In terms of the difference discrete Euler-Lagrange cohomological concepts,we show that the symplectic or multisymplectic geometry and their difference discrete structure-preserving properties can always be established not only in the solution spaces of the discrete Euler-Lagrange or canonical equations erived by the difference discrete variational principle but also in the function space in each case if and only if the relevant closed Euler-Lagrange cohomological conditions are satisfied.     

Long—Range Effects on the Pyroelectric Coefficient of Ferroelectric Superlattice

Long-range effects on the pyroelectric coefficient of a ferroelectric superlattice consisting of two different ferroelectric materials are investigated based on the transverse Ising model.The effects of the interfacial coupling and the thickness of one period on the pyroelectric coefficient of the ferroelectric superlattics are studied by taking into account the long-range interaction.It is found that with the increase of the strength of the long-range interaction,the pyroelectric coefficient decreases when the temperature is lower than the phase transition temperature;the mumber of the pyroelectric peaks decreases gradually and the phase transition temperature increases,It is also found that with the decrease of the interfacial coupling and the thickness of one period.the phase transition temperature and the number of the pyroelectric peaks decrease.     

Hydrodynamic Evolution of Spherical Fireball in Relativistic Heavy Ion Collisions

Evolution process can be calculated from the relativistic hydrodynamic equation with certain estimated initial conditions about a single spherical fireball here.So one can estimate a kind of initial condition qualitatively with a possible energy density about ε0≈1.9 GeV/fm^3,and to fit the experimental data at thermal freeze-out based on this process.The evolution from a cylindrical fireball is discussed simply.     

Controlling Strong Chaos by an Aperiodic Perturbation in Area Preserving Maps

We demonstrate a method for controlling strong chaos by an aperiodic perturbation in two-dimensional Hamiltonian systems.The method has the advantages that the controlled system remains conservative property and the selection of the perturbation has a considerable diversity.We illustrate this method with two area preserving maps:the non-monotonic twist map which is a mixed system and the perturbed cat map which exhibits hard chaos.Numerical results show that the strong chaos can be effectively controlled into regular motions,and the final states are always quasiperiodic ones.The method is robust against the presence of weak external noise.     

Six—Parameter Exponential—Type Potential and the Identity for the Exponential—Type Potentials

We propose a six-parameter exponential-type potential (SPEP),which has been shown to be a shapeinvariant potential with a translation of parameters.For this reducible potential,the exact energy levels are obtained by using the supersymmetric shape invariance technique.Choosing appropriate parameters,four classes of exponential-type potentials and their exact energy spectra are reduced from the SPEP and a general energy level formula,respectively.Each class shows the identity except for the different definitions of parameters.     

Analytical Solution for Single—Mode Time—Dependent Oscillator

Based on the general theory of time-dependent quantum transformation,we use the “time evolution operator” method to solve the single-mode time-dependent oscillator.     

大跨度悬索桥在静风荷载下的动力持性研究

大跨度桥梁的动力特性是研究桥梁振动的基础,随着跨度的增加,桥梁更加轻型化和柔性化,其几何变形与内力状态地随着风速的改变而变化,从而影响到结构的动力特性,本文介绍了风速变化时大跨径悬索桥动力特性的计算方法,并以广东虎门大桥为例,分析了大跨度悬索桥动力特性随风速度化的规律。     

Pr^3＋／Yb^3＋共掺光纤放大器中的能量转移过程

测量了ZBLAN玻璃中Pr^3 Yb^3 的吸收光谱和Pr^3 的荧光发射波长,分析了Pr^3 /Yb^3 共掺光纤放大器中的能量转移过程,运用电多极理论和多声子辅助能量转移理论计算了Pr^3 和Yb^3 之间的能量转移几率,对离子掺杂浓度,泵浦波长对Pr^3 和Yb^3 之间能量转移的影响进行了讨论,得到了最佳掺杂浓度和泵浦波长,此时Pr^3 /Yb^3 共掺的光纤放大器具有最大的荧光强度和最高的增益。     

Linex损失下二维单边截断型分布族参数的经验Bayes估计

在linex损失函数下,讨论边二维单边截断型分布族参数的经验Bayes(EB)估计问题,文中构造了参数的EB估计,在适当的条件下给出了该估计的收敛速度。并说明在较强条件下收敛速度可充分接近1。     

格蕴函代数中滤子的逻辑性质

讨论了当格蕴函代数L是完全分配格时蕴涵运算的一些性质,在格蕴函代数L上引入了集合的蕴函传递性概念,证明了格蕴涵代数的滤子满足蕴涵传递性和替换定理,即格蕴涵代数的滤子满足命题逻辑的三段论推理规则的替换定理。