耦合映像格子中时空混沌的状态反馈控制

利用状态反馈的方法，实现了耦合映像格子中时空混沌的稳定控制.反馈方式可以是没有延迟的，也可以是有延迟的；控制方式可以是连续的，也可以是脉冲的.数值模拟结果证明了状态反馈方法的有效性. 关键词： 耦合映像格子 时空混沌 状态反馈控制     

Excitation Properties of the Biological Neurons with Side-Inhibition Mechanism in Small-World Networks

We have studied the excitation properties of biophysical Hodgkin-Huxley neurons with the side-inhibition mechanism in small-world networks. The result shows that the excitation properties in the networks are preferably consistent with the characteristic properties of a brain neural system under external constant stimuli, such as fatigue effect, extreme excitation principle, and the brain neural excitation response induced by different in- tensity of noise and coupling. The results of the study might shed some light on the study of the brain nerve electrophysiology and epistemological science.     

Topological Properties of Urban Public Traffic Networks in Chinese Top-Ten Biggest Cities

We investigate the topological characteristics of complex networks as exemplified by the urban public traffic network （UPTN） in Chinese top-ten biggest cities. It is found that the UPTNs have small world behaviour, by the examination of their topological parameters. The quantitative analysis of the transport efficiency of the UPTNs reveals their higher local efficiency El and lower global efficiency Eg, which coincide well with the status quo of those Chinese cities still at their developing stage. Furthermore, the topological properties of efficiency in the UPTNs are also examined, and the findings indicate that, on the one hand, the UPTNs show robustness to random attacks and frangibility to malicious attacks on a global scale; on the other hand, the interrelation between UPTN efficiency and network motifs deserves our attention. The motifs which interrelate the UPTN efficiency are always triangular-formed patterns, e.g. motifs ID 238, ID 174 and ID 102, etc.     

关于图的直径和平均距离

图的直径和平均距离是度量网络有效性的两个重要参数．Ore通过图的顶点数和直径给出无向图的最大边数．Entringer，Jakson，Slater和Ng，Teh通过图的顶点数和边数分别给出无向图和有向图平均距离的下界．该文提供这两个结果的简单证明，给出有向图类似Ore的结果，并通过图的直径改进Entringer等人的结果到更一般的情形．结合本文和Ore的结果，可以得到一个无向图和有向图平均距离的下界，它比Plesnik得到的下界更好．     

Synchronizing Complex Networks by an Adaptive Adjustment Mechanism

We propose an adaptive adjustment mechanism for synchronizing complex networks, in particular for sociological or/and biological systems. We do not take it for granted that a dynamical system is put on isolated nodes and they are coupled with each other by one （or more） variable（s）, as employed in most previous models. As a replacement, we suppose that each node may have any finite number of possible states, and their evolutions with time are determined by their nearest-neighbouring （or even second-nearest-neighbouring, etc） nodes in an adaptive adjustment mechanism. It is found that synchronization can be achieved for almost all connected networks and that the scale-free property can evidently improve the synchronizing speed.     

二维相关红外光谱研究4-氨基吡啶/甲基丙烯酸分子间相互作用

采用二维相关红外光谱方法研究了4-氨基吡啶和甲基丙烯酸分子问相互作用.一维红外光谱难以直接反映4-氨基毗啶和甲基丙烯酸分子间相互作用的类型和键的关联,而二维相关分析结果清晰表明4-氨基吡啶和甲基丙烯酸分子间存在的相互作用.研究中发现1298和1 202 cm-1归属于甲基丙烯酸的-OH伸缩振动峰与1 531 cm-14-氨基吡啶的C=N伸缩振动峰存在同步交叉正峰,3 382和3 212 cm-1属于4-氨基吡啶的氨基N-H伸缩振动峰与1 705 cm-1归属于甲基丙烯酸的羰基伸缩振动峰存在同步交叉正峰.根据二维相关规则,4-氨基吡啶的C=N峰与甲基丙烯酸的-OH峰、4-氨基吡啶的氨基N-H峰与甲基丙烯酸的羰基峰有很强协同作用.结果表明4-氨基吡啶的C=N与甲基丙烯酸的-OH存在静电作用,4-氨基吡啶的氨基与甲基丙烯酸的羰基存在氢键作用.二维红外光谱是研究分子内、分子间相互作用的一种强有力的手段.     

电压反馈型DC-DC变换器的稳定性研究

建立了电压反馈型DC-DC变换器连续运行模式下的频闪映射模型，利用离散映射方程的Jacobian矩阵的特征值分析了变换器在参数变化时不动点的失稳情况. 以具体的电压反馈型buck变换器为例， 通过理论分析与数值仿真，两者的结果具有很好的一致性，表明利用离散映射分析DC-DC变换器的稳定性是切实可行的. 关键词： 离散映射模型 DC-DC变换器 稳定性     

Effects of information asymmetry on cooperation in the prisoners’ dilemma game

Effects of information asymmetry on cooperation in the prisoners’ dilemma game are investigated. The amplitude A is introduced to describe the degree of information asymmetry. It is found that there exists an optimal value of amplitude Aopt at which the fraction of cooperation reaches its maximal value. The reason lies in that cooperators on the two-dimensional grid form large clusters at Aopt . In addition, the theoretical analysis in terms of the meanfield theory is used to understand this kind of phenomenon. It is confirmed that the information asymmetry plays an important role in the dynamics of the dilemma games of spatial prisoners.     

钯催化惰性碳-氢键胺化反应研究进展

胺化反应是有机化学中最重要的反应之一,近年来,过渡金属催化的碳-氢键胺化反应已经成为合成有机胺化物的重要方法.本文综述了钯催化碳-氢键胺化反应的研究进展,按照底物类型和所活化碳-氢键的类型进行分类,并对该领域目前存在的局限性和未来发展进行了总结和展望.     

不同材料弹体超声速侵彻钢筋混凝土靶的结构破坏对比实验

设计了超声速钻地结构弹,采用203 mm口径的火炮,开展了25 kg量级弹体在1100~1300 m/s速度范围内侵彻钢筋混凝土靶的实验研究,应用数值仿真对弹体侵彻钢筋混凝土靶的过程进行了模拟计算。基于实验和仿真结果,对超声速侵彻条件下两种金属材料弹体的结构响应、质量损失等问题进行了分析。结果表明:在超声速侵彻钢筋混凝土靶的过程中,两种金属材料的弹体结构变形破坏形式主要为头部侵蚀和侧壁磨蚀,头部侵蚀量的大小与弹体壳体材料有关,高强度G50钢材料更适合用于1200 m/s速度量级的超声速侵彻环境。对出现的“径缩”现象作了初步分析,并对今后工程应用的结构弹体设计提出了指导意见。