Synchronization of impulsively coupled complex networks

We investigate the synchronization of complex networks,which are impulsively coupled only at discrete instants.Based on the comparison theory of impulsive differential systems,a distributed impulsive control scheme is proposed for complex dynamical networks to achieve synchronization.The proposed scheme not only takes into account the influence of all nodes to network synchronization,which depends on the weight of each node in the network,but also provides us with a flexible method to select the synchronized state of the network.In addition,it is unnecessary for the impulsive coupling matrix to be symmetrical.Finally,the proposed control scheme is applied to a chaotic Lorenz network and Chua’s circuit network.Numerical simulations are used to illustrate the validity of this control scheme.     

一种基于效率矩阵的网络节点重要度评价算法

为了实现对网络节点重要性的有效评价,提出一种基于网络效率矩阵的节点重要度评价算法.该方法综合考虑节点的度值(局部重要度)和网络节点之间的重要性贡献(全局重要度),利用节点的度和效率矩阵表征网络节点的重要度贡献,克服重要性贡献矩阵法中节点只依赖于邻接节点的不足.考虑实际网络的稀疏性,该算法的时间复杂度为O(n²).通过算例分析验证了该算法的可行性和有效性,结果表明:该算法能够更加直观、简单有效地区分节点的重要度差异,并且对于大型复杂网络具有较理想的计算能力.     

席夫碱钼(Ⅵ)配合物的制备及催化大豆油环氧化

以水杨醛和邻氨基酚为起始原料, 合成了N-亚水杨醛基-2-氨基苯酚配体(H₂SAP); H₂SAP与乙酰丙酮钼的无水乙醇溶液反应, 制得席夫碱钼(Ⅵ)配合物MoO₂(SAP)(EtOH); 采用元素分析、红外光谱、紫外光谱、¹H NMR及热重分析对配合物进行了表征. 以MoO₂(SAP)(EtOH)为催化剂, 研究了其催化合成环氧大豆油的催化性能, 考察了氧源种类、反应温度、反应时间及溶剂/助剂等因素对环氧化反应的影响. 结果表明, 以65%(质量分数)叔丁基过氧化氢(65% TBHP)为氧源, 在80℃时反应4 h, 转化率和选择性分别为43.0%和67.2%, MoO₂(SAP)(EtOH)在催化体系中表现出强烈的助剂效应, 当加入强给电子配体咪唑时, 环氧产率显著降低. 同时对该配合物催化环氧化机理进行了初步探讨.     

紫外-可见光谱法分析难溶性黄药重金属配合物

提出可用于难溶性黄药重金属配合物检测的紫外光谱方法。实验首先考察了在黄药溶液中加入不同重金属离子后紫外-可见光谱的变化,发现Pb2+、Cu2+会与黄药生成难溶性配合物,而Fe2+,Zn2+,Mn2+对黄药溶液的紫外吸收影响很小。接下来实验比较了不同孔径的滤膜对难溶性配合物的去除效果,发现采用0.22 μm滤膜可以有效的将黄原酸铜或黄原酸铅与滤液分离。进一步的,实验研究了硫化钠与难溶性配合物反应的情况,结果表明S2-可以定量的将配合物中的黄原酸根置换到溶液中。研究得出可以通过加入硫化钠后滤液中黄药浓度的上升值得到原水样中难溶性黄药重金属配合物的含量。最后研究将该方法应用于郴州三十六湾三家铅锌选矿厂废水的分析中,其结果验证了该方法的可行性。     

Transient response of enstrophy transport to opposition control in turbulent channel flow

The transient response of the turbulent enstrophy transport to opposition control in the turbulent channel flow is studied with the aid of direct numerical simulation. It is found that the streamwise enstrophy and the spanwise enstrophy are suppressed by the attenuation of the stretching terms at first, while the vertical enstrophy is reduced by inhibiting the tilt of the mean shear. In the initial period of the control, the streamwise enstrophy evolves much slower than the other two components. The vertical vorticity component exhibits a rapid monotonic decrease and also plays an important role in the attenuation of the other two components.     

A New Fractional Projective Riccati Equation Method for Solving Fractional Partial Differential Equations

In this paper, a new fractional projective Riccati equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann—Liouville derivative. This method can be seen as the fractional version of the known projective Riccati equation method. For illustrating the validity of this method, we apply this method to solve the space—time fractional Whitham—Broer—Kaup (WBK) equations and the nonlinear fractional Sharma—Tasso—Olever (STO) equation, and as a result, some new exact solutions for them are obtained.     

New Solutions of Three Nonlinear Space- and Time-Fractional Partial Differential Equations in Mathematical Physics

Motivated by the widely used ansätz method and starting from the modified Riemann-Liouville derivative together with a fractional complex transformation that can be utilized to transform nonlinear fractional partial differential equations to nonlinear ordinary differential equations, new types of exact traveling wave solutions to three important nonlinear space- and time-fractional partial differential equations are obtained simultaneously in terms of solutions of a Riccati equation. The results are new and first reported in this paper.     

系列Sm3+配合物的合成、结构及光物理性能

采用水热方法合成了4种Sm³⁺配合物, 即{[SmZn(2,5-pdc)₂(tp)_0.5(H₂O)]·2H₂O}_n(1), [Sm₂Zn₂(C₆H₅COO)₁₀(Imh)₂(H₂O)₂](2), {[Sm₂(NO₂C₆H₄COO)₆(H₂O)₄]·H₂O}_n(3)和{[SmN(CH₂COO)₃(H₂O)₂]·H₂O}_n(4)[2,5-pdc=2,5-吡啶二羧酸根, tp=对苯二甲酸根, C₆H₅COO=苯甲酸根, Imh=咪唑, NO₂C₆H₄COO=对硝基苯甲酸根, N(CH₂COO)₃=氨三乙酸根]. 通过单晶X射线衍射确定了其晶体结构. 在室温下测定了其红外光谱、 紫外-可见-近红外光谱以及在近红外区和可见区的发射光谱. 结果表明, 4种配合物在近红外区或可见区均出现Sm³⁺离子的特征发射. 这是形成配合物后, Zn-配体部分和配体对Sm³⁺离子发光的敏化作用所致. 此外, 讨论了不同有机配体或d过渡金属离子对Sm³⁺离子发光的影响, 并分析了配合物中Sm³⁺离子的近红外发射带位移、 劈裂和加宽的原因.     

七元瓜环对阿糖胞苷稳定性的影响

研究了七元瓜环(Q[7])与抗癌药物阿糖胞苷(Ara-C)的不同质子化存在形式之间的超分子相互作用, 探讨了超分子包合作用对药物电离平衡常数及药物稳定性的影响. 结果表明, Q[7]使得Ara-C的pK_a降低了约0.3个单位, Q[7]与Ara-C的2种存在形式(Ara-C⁺及Ara-C)均可形成1∶1的主客体包结配合物, Ara-C以其嘧啶环进入Q[7]空腔, 而核糖环位于瓜环端口发生相互作用; Q[7]与Ara-C作用后对药物起到保护性载体的作用, 从而提高了药物的稳定性.     

无网格法在三维复杂超音速流场模拟中的应用研究

对最小二乘无网格方法在含复杂外形三维超音速流场中的应用进行了研究.选用分解法求解采用最小二乘法得到的对称方程组,针对最小二乘无网格方法的计算特点生成近似正交均匀分布的离散点,对B1AC2R常规导弹超音速流场采用最小二乘无网格方法进行了无粘数值模拟,计算了B1AC2R常规导弹在不同攻角下的轴向力、法向力及俯仰力矩系数,并将数值结果与实验结果进行了比较.结果表明,最小二乘无网格方法在求解含复杂外形超音速流场时具有较高的准确度,将其应用于三维含复杂外形超音速流场的模拟是完全可行的.