Synchronization of stochastically hybrid coupled neural networks with coupling discrete and distributed time-varying delays

A general model of linearly stochastically coupled identical connected neural networks with hybrid coupling is proposed, which is composed of constant coupling, coupling discrete time-varying delay and coupling distributed timevarying delay. All the coupling terms are subjected to stochastic disturbances described in terms of Brownian motion, which reflects a more realistic dynamical behaviour of coupled systems in practice. Based on a simple adaptive feedback controller and stochastic stability theory, several sufficient criteria are presented to ensure the synchronization of linearly stochastically coupled complex networks with coupling mixed time-varying delays. Finally, numerical simulations illustrated by scale-free complex networks verify the effectiveness of the proposed controllers.     

反铁磁耦合记录介质的一级翻转曲线

用实验测量和微磁计算的方法得到了反铁磁耦合记录介质的一级翻转曲线.利用微磁计算的目的是便于正确地理解一级翻转曲线分布图.因为它可以把一级翻转曲线分布图中不同部分与相应的磁化翻转联系起来.这样一级翻转曲线就能被用来分析复杂磁化翻转及其相互作用的细节,而这种手段可以提供比通常用的ΔM方法更多的信息. 关键词： 反铁磁耦合记录介质 一级翻转曲线 微磁学模拟     

偶极旋量玻色-爱因斯坦凝聚体在外场中的自旋混合动力学

探讨了外场中偶极旋量玻色-爱因斯坦凝聚体的静态和动力学行为.研究结果表明,可以调节外场、自旋交换相互作用和偶极-偶极相互作用来调控三组分之间的隧穿,控制布居数动力学演化范围和相对相位动力学行为. 关键词： 玻色-爱因斯坦凝聚 偶极-偶极相互作用 自旋混合动力学     

Ground State Properties of Superheavy Nuclei in Macroscopic-Microscopic Model

The ground state properties of superheavy nuclei are systematically calculated by the macroscopic- microscopic （MM） model with the Nilsson potential. The calculations well produced the ground state binding energies, α-decay energies, and half lives of superheavy nuclei. The calculated results are systematically compared with available experimental data. The calculated results are also compared with theoretical results from other MM models and from relativistic mean-field model. The calculations and comparisons show that the MM model is reliable in superheavy region and that the MM model results are not very sensitive to the choice of microscopic single-particle potential.     

Hamiltonian Forms for a Hierarchy of Discrete Integrable Coupling Systems

A semi-direct sum of two Lie algebras of four-by-four matrices is presented, and a discrete four-by-four matrix spectral problem is introduced. A hierarchy of discrete integrable coupling systems is derived. The obtained integrable coupling systems are all written in their Hamiltonian forms by the discrete variational identity. Finally, we prove that the lattice equations in the obtained integrable coupling systems are all Liouville integrable discrete Hamiltonian systems.     

5,7'-(亚甲胺基)-二-8-羟基喹啉及其衍生物的密度泛函理论计算

在B3LYP/6-31G(d)水平上对5,7'-(亚甲胺基)-二-8-羟基喹啉及其5种衍生物进行了几何构型全优化,探讨了喹啉不同位H被吸电子基团CN及羟基O被S原子取代对分子电离势(Ip)、电子亲和势(EA)、电荷转移、前线轨道能量和电子光谱等性质的影响.用含时密度泛函理论(TD-DFT)计算了分子在气相及液相的吸收光谱,计算结果与实验值基本符合.取代基对5,7'-(亚甲胺基)-二-8-羟基喹啉锌分子的性质有较大影响.电子亲和势计算表明,该类化合物的电子亲和势较大,都是较好的电子传输材料.     

Euler-Lagrange耦合计算的GEL方法

研究了一种Euler-Lagrange耦合数值方法——GEL（Ghost-fluid Euler-Lagrange）方法，编写了GEL二维计算程序。     

Fe掺杂量对双层复合结构BaTi1-zFezO3+δ-Tb1-xDyxFe2-y中磁电耦合的影响

采用溶胶凝胶方法制备了Fe掺杂钛酸钡多晶系列陶瓷BaTi_1-zFe_zO_3+δ(0.005≤z≤0.02) (BTFO).X射线衍射实验显示,所制备的BTFO的结构仍然为四方相钙钛矿.差热分析表明,该BTFO样品的铁电-顺电转变温度及相变潜热随掺杂量z的增加而下降.将该BTFO极化后与Tb_1-xDy_xF 关键词： 磁电耦合 掺杂效应 掺杂钛酸钡     

蓝宝石晶体的光谱精细结构、零场分裂参量及晶体结构

运用不可约张量算法和群理论构造了C3v对称晶场中3d5组念离子的252阶可完全对角化的微扰哈密顿矩阵.用此矩阵计算了Al2O3:Fe3 晶体的光谱精细结构、零场分裂参量(D,a-F)、品体结构,其理论计算值与实验值相符合,并研究了自旋四重态、自旋二重态分别对基态能级的影响,证明了自旋四重态对基态能级的贡献是主要的,自旋二重态对基态能级的贡献虽很小,但却是不可忽略的.进一步研究了SO梢合作用、SS耦合作用对Al2O3:Fe3-品体的光谱精细结构和零场分裂参量的影响,结果发现SO耦合作用是最主要的,SS耦合作用也是不可忽略的.     

MgB_2(001)面超导结构的电子浓度第一原理分析

采用密度范函理论计算了金属化合物MgB2(001)薄膜结构的电子能带结构和状态密度,计算的交换相关能分别采用LDA和GGA。规范保守赝势的计算结果表明,晶格常数与实验值误差在很小的范围内,分析了引起MgB2(001)面结构超导转变时电子浓度和偏态密度的变化情况,发现构成该超导体结构的成键有三种,着重从结构的电子浓度变化分析了其超导特性,六角蜂窝状结构中硼原子间相互作用为sp2杂化的共价键,镁原子和硼原子之间是离子键结合,镁原子层是金属键结合,镁原子的价电子部分转移到硼原子的pz轨道,部分电子为镁原子层共用。MgB2的超导机制为强烈的电子-声子耦合,为B原子间强烈的共价作用形成,是传统S波超导体。对Mg元素同一主族的其它硼化物进行布居分析,发现MgB2中Mg原子电子转移明显强于BeB2和CaB2,说明电子浓度是引起超导转变的一个重要因素。