Spatial prisoner’s dilemma games with increasing size of the interaction neighborhood on regular lattices

We studied the evolution of cooperation in the prisoner’s dilemma game on a square lattice where the size of the interaction neighborhood is considered. Firstly, the effects of noise and the cost-to-benefit ratio on the maintenance of cooperation were investigated. The results indicate that the cooperation frequency depends on the noise and cost-to-benefit ratio: cooperation reaches a climax as noise increases, but it monotonously decreases and even vanishes with the ratio increasing. Furthermore, we investigated how the size of the interaction neighborhood affects the emergence of cooperation in detail. Our study demonstrates that cooperation is remarkably enhanced by an increase in the size of the interaction neighborhood. However, cooperation died out when the size of the interaction neighborhood became too large since the system was similar to the mean-field system. On this basis, a cluster-forming mechanism acting among cooperators was also explored, and it showed that the moderate range of the neighborhood size is beneficial for forming larger cooperative clusters. Finally, large-scale Monte Carlo simulations were carried out to visualize and interpret these phenomena explicitly.     

Receding horizon H∞ control for discrete-time Markovian jump linear systems

Receding horizon H∞ control scheme which can deal with both the H∞ disturbance attenuation and mean square stability is proposed for a class of discrete-time Markovian jump linear systems when minimizing a given quadratic performance criteria. First, a control law is established for jump systems based on pontryagin’s minimum principle and it can be constructed through numerical solution of iterative equations. The aim of this control strategy is to obtain an optimal control which can minimize the cost function under the worst disturbance at every sampling time. Due to the difficulty of the assurance of stability, then the above mentioned approach is improved by determining terminal weighting matrix which satisfies cost monotonicity condition. The control move which is calculated by using this type of terminal weighting matrix as boundary condition naturally guarantees the mean square stability of the closed-loop system. A sufficient condition for the existence of the terminal weighting matrix is presented in linear matrix inequality (LMI) form which can be solved efficiently by available software toolbox. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.     

Theoretical analysis of reactive solid-liquid interfacial energies

The characterization of reactive solid-liquid interfacial energies and solid surface energies is a pressing problem in materials science and surface science. Based on the concept that unbalanced forces doing work, a mathematical formulation between surface energies and interfacial energies for reactive wetting is presented. The resulting formalism has significant generality in which the equilibrium Young’s equation for solid-liquid interfacial energies is just a special case. It is shown that a solid-liquid interfacial energy at non-equilibrium is always higher than that at equilibrium, and that the transformation of reactive interfaces to equilib-rium interfaces is an inevitable, spontaneous process. The numerical range of solid-liquid interfacial energies γsl for a limited, solid-liquid interfacial wetting system was calculated to be 0 ≤γsl ≤γsg. The calculation methods for reactive solid-liquid interfacial energies and solid surface energies are presented. They are significant for composite materials and weld, powder sinter, package of electronic devices, and other surface and interfacial issues in metallurgy.     

Electromagnetic tomography: dyadic Green'' s function method

This study aims at formulating a dyadic Green' s function method for directly solving the forward and inverse problems of the electromagnetic tomography (EMT) with parallel field sensor. First, an integral equation of the electromagnetic problem for the EMT sensor is presented in terms of an equivalent source, which takes the dyadic Green's function G (r, r') as its kernel. Next, starting from a single conducting cylinder filled with homogeneous medium, a convenient way of finding the electric dyadic Green's function of the first kind Gel( r, r) is described based on the method of Ga. Then, an eigenfunction expansion of the Gel( r, r) into vector wave functions M and N is obtained by means of a contour integration. Finally, an expression of the G( r, r' ), the dyadic Green' s function for the EMT sensor with cylindrically layered structure, is deduced from Gel(r, r) by adding reflected wave terms to it.     

随机变量列一类加权乘积和的强收敛性

讨论了任意r.v.列，两两NOD列和NA列的加权乘积和强收敛性，揭示了正则化因子，矩条件，权函数及r.v.列相关性之间的关系。     

3-羟基-4-(1''-咪唑基)-3-环丁烯-1,2-二酮合铜(Ⅱ)的合成、表征及催化氧化性能研究

以方酸、咪唑为原料合成了3－羟基－4－(1'－咪唑基）－3－环丁烯－1，2－二酮Cu(Ⅱ）配合物，并对其组成及催化氧化性能进行了研究。     

一类光滑Chua’s电路的自适应同步

本文讨论了一种变形的光滑Chua’s电路的同步控制问题.当从动系统对主动系统的参数未知时,采用Lyapunov稳定性理论和自适应设计方法,设计出一个自适应控制器.通过该控制器,实现了主从系统间的自适应同步.仿真结果表明该设计方法是有效的.     

刍议测绘技术在公路勘测中的应用

公路工程勘测直接关系刊路基、桥隧的安全，因此这一环节应引起高度的重视。文章介绍了公路测量的任务与作用及对测绘技术的发展要求，阐述了险隘测绘技术在公路勘察设计中的应用。     

Geldart—D颗粒在长立管料斗系统中悬料态初始条件的研究

三种Geldart-D颗粒在21m长的料斗－立管系统中悬料状态的初始条件4的实验已研究表明：初始悬料区时，气体的压力梯度与料斗中颗粒的静态高度和孔板的孔口直径无关，气体在立管中的流速可用Kwauk‘s方程计算。     

关于解析Qt,s空间

引入了复平面单位圆上一类全纯函数空间—Qt,s空间，证明了Qt,s空间的一些性质。