以1,2,5-噻二唑-3,4-二酸为配体的碱土金属配合物的合成、晶体结构及配位模式

以1,2,5-噻二唑-3,4-二酸为单一配体与第二主族碱土金属离子通过水热法合成了三个配合物,对其进行了元素分析及单晶衍射结构解析,并对H2tdzdc配体的配位能力、配位模式等特性作了初步研究.结果表明:单核配合物1,[Mg(tdzdc)(H2O)4]属于三斜晶系,空间群为P1;配位聚合物2,[Ca(tdzdc)(H2O)2]n,具有二维层状结构,属于单斜晶系,空间群为C2/c;配位聚合物3,[Sr(tdzdc)(H2O)3]n,具有二维层状结构,属于三斜晶系,空间群为P1.通过研究发现,当使用ⅡB主族的碱土金属与1,2,5-噻二唑-3,4-二酸根进行配位时,随着金属离子半径的增加和电子层数的增多,金属离子的配位数增多,得到的Mg、Ca、Sr的配合物结构愈加复杂,即从单核配合物到配位聚合物.     

Exponential Synchronization of Uncertain Complex Dynamical Networks with Delay Coupling

This paper studies the global exponential synchronization of uncertain complex delayed dynamical networks. The network model considered is general dynamical delay networks with unknown network structure and unknown coupling functions but bounded. Novel delay-dependent linear controllers are designed via the Lyapunov stability theory. Especially, it is shown that the controlled networks are globally exponentially synchronized with a given convergence rate. An example of typical dynamical network of this class, having the Lorenz system at each node, has been used to demonstrate and verify the novel design proposed. And, the numerical simulation results show the effectiveness of proposed synchronization approaches.     

Enhancing synchronizability by rewiring networks

<正>According to different forms of synchronized region,complex networks are divided into typeⅠ(unbounded synchronization region) and typeⅡ(bounded synchronization region) networks.This paper presents a rewiring algorithm to enhance the synchronizability of typeⅠand typeⅡnetworks.By utilizing the algorithm for an unweighted and undirected network,a better synchronizability of network with the same number of nodes and edges can be obtained. Numerical simulations on several different network models are used to support the proposed procedure.The relationship between different topological properties of the networks and the number of rewirings are shown.It finds that the final optimized network is independent of the initial network,and becomes homogeneous.In addition the optimized networks have similar structural properties in the sense of degree,and node and edge betweenness centralities.However,they do not have similar cluster coefficients for typeⅡnetworks.The research may be useful for designing more synchronizable networks and understanding the synchronization behaviour of networks.     

一个新拓扑结构的镧配合物

设计并合成了1,2,5-噻二唑-3,4-二酸(tdzdc),并以其为配体与镧元素通过水热法合成了1种配合物,对其进行了元素分析及单晶衍射结构解析.单晶结构解析表明:标题配合物{[La2(tdzdc)3(H2O)]·4H2O}n为二维层状结构,属于P21空间群,三斜晶系.在该晶体结构中,只有1种配位模式的tdzdc2-配体和2种La3+离子.对于每个tdzdc2-配体,其配位结合位点被3个La3+离子占据,配体分子两侧采用羧酸和环上N原子的螯合配位模式,而配体分子下方采用2个羧酸的螯合配位模式.在空间上,由于晶体的这种连接方式,而形成了三维网络连接,当把由配体连接的3个La3+简化为三角形节点时,得到一个尚未被报道过的三维拓扑结构.在这个三维的空间网格a方向上,存在着一维的孔道,孔道中由水分子占据,当去除掉水分子后经PLATON程序计算其孔隙率为23.5%.     

基于相对距离的复杂网络谱粗粒化方法

复杂网络的同步作为一种重要的网络动态特性,在通信、控制、生物等领域起着重要的作用.谱粗粒化方法是一种在保持原始网络的同步能力尽量不变情况下将大规模网络约简为小规模网络的算法.此方法在对约简节点分类时是以每个节点对应特征向量分量间的绝对距离作为判断标准,在实际运算中计算量大,可执行性较差.本文提出了一种以特征向量分量间相对距离作为分类标准的谱粗粒化改进算法,能够使节点的合并更加合理,从而更好地保持原始网络的同步能力.通过经典的三种网络模型(BA无标度网络、ER随机网络、NW小世界网络)和27种不同类型实际网络的数值仿真分析表明,本文提出的算法对比原来的算法能够明显改善网络的粗粒化效果,并发现互联网、生物、社交、合作等具有明显聚类结构的网络在采用谱粗粒化算法约简后保持同步的能力要优于电力、化学等模糊聚类结构的网络.