Some graft transformations and its application on a distance spectrum

Let D(G)=(d_i,j)_n×n denote the distance matrix of a connected graph G with order n, where d_ij is equal to the distance between v_i and v_j in G. The largest eigenvalue of D(G) is called the distance spectral radius of graph G, denoted by ?(G). In this paper, we give some graft transformations that decrease and increase ?(G) and prove that the graph (obtained from the star S_n on n (n is not equal to 4, 5) vertices by adding an edge connecting two pendent vertices) has minimal distance spectral radius among unicyclic graphs on n vertices; while (obtained from a triangle K₃ by attaching pendent path P_n−3 to one of its vertices) has maximal distance spectral radius among unicyclic graphs on n vertices.     

Nonexistence of Type Ⅱ Blowup for Heat Equation with Exponential Nonlinearity

This paper deals with the blowup behavior of the radially symmetric solution of the nonlinear heat equation ut = ?u + e~u in R~N. The authors show the nonexistence of type II blowup under radial symmetric case in the lower supercritical range 3 ≤ N ≤ 9,and give a sufficient condition for the occurrence of type I blowup. The result extends that of Fila and Pulkkinen(2008) in a finite ball to the whole space.     

Cholera model incorporating media coverage with multiple delays

In order to investigate the impact of awareness programs and time delays on the cholera outbreaks, we propose a cholera epidemic model, incorporating awareness programs by media as a separate class and two time‐delay factors. The bifurcation theory is applied to explore the variety of dynamics of this model for various combinations of the delays when R₀>1. Moreover, we analyze the direction, stability, and period of the bifurcating periodic solutions arising through Hopf bifurcation by using the normal form concept and the center manifold theory. Finally, we present numerical simulations to verify the main theoretical results.     

Le Système d'Euler de Kato en Famillie(Ⅱ)

This article is the second article on the generalization of Kato's Euler system. The main subject of this article is to construct a family of Kato's Euler systems over the cuspidal eigencurve, which interpolate the Kato's Euler systems associated to the modular forms parametrized by the cuspidal eigencurve. We also explain how to use this family of Kato's Euler system to construct a family of distributions on Z_p over the cuspidal eigencurve; this distribution gives us a two-variable p-adic L function which interpolate the p-adic L function of modular forms.     

Theoretical Studies on the Binding Mode and Reaction Mechanism of TLP Hydrolase kpHIUH

In this work, we have investigated the binding conformations of the substrate in the active site of 5-HIU hydrolase kpHIUH and its catalytic hydrolysis mechanism. Docking calculations revealed that the substrate adopts a conformation in the active site with its molecular plane laying parallel to the binding interface of the protein dimer of kpHIUH, in which His7 and His92 are located adjacent to the hydrolysis site C6 and have hydrogen bond interactions with the lytic water. Based on this binding conformation, density functional theory calculations indicated that the optimal catalytic mechanism consists of two stages: (1) the lytic water molecule is deprotonated by His92 and carries out nucleophilic attack on C6=O of 5-HIU, resulting in an oxyanion intermediate; (2) by accepting a proton transferred from His92, C6–N5 bond is cleaved to completes the catalytic cycle. The roles of His7, His92, Ser108 and Arg49 in the catalytic reaction were revealed and discussed in detail.     

Ex situ FTIR spectroscopy study of LiVPO4F as cathode material for lithium-ion batteries

The LiVPO₄F as cathode material for lithium-ion batteries was synthesized through two steps of solid-state reactions and investigated by ex situ Fourier transform infrared (FTIR) spectroscopy for the initial charge and discharge cycle. The characterization of the effect on the structure of the LiVPO₄F in the process of lithium-ion insertion/extraction at a molecular level by ex situ FTIR spectroscopy is helpful for the mechanism research for lithium-ion insertion/extraction and the improvement of the performance of lithium-ion batteries. In the process of the initial cycle, new bands of VPO₄F appear in the charge and the featured bands of LiVPO₄F reappear in the discharge. In this paper, ex situ FTIR spectra indicates that the structure of the LiVPO₄F in the process of lithium-ion insertion/extraction is almost not affected, which clearly states that the LiVPO₄F possesses stable structure as cathode material. Consequently, the LiVPO₄F might be expected as a potential cathode replacement for commercial lithium-ion batteries.     

超声波作用下泡群的共振声响应

从球状泡群气泡动力学方程出发, 考虑泡群间次级声辐射的影响, 得到了声场中两泡群共同存在时气泡振动的动力学方程, 并以此为基础探讨声波驱动下双泡群振动系统的共振响应特征. 由于泡群间气泡间的相互作用, 系统存在低频共振和高频共振现象, 两不同共振频率的数值与泡群内气泡的本征频率相关. 泡群内气泡的本征频率又受到初始半径、泡群大小和泡群内气泡数量的影响. 气泡自由振动和驱动声波的耦合激起泡群内气泡的受迫振动, 气泡初始半径、气泡数密度和驱动声波频率等都会影响泡群内气泡的振动幅值和初相位. 关键词： 气泡群 共振 声响应 超声空化     

层叠Blumlein线产生电压波的解析解

采用Laplace变换的方法求解了无损耗情况下层叠Blumlein线输出电压的解析表达式。从传输线两端口网络模型出发,分别求出了负载端短路和开路时传输线特征阻抗的频域表达式。简化了单Blumlein线电路结构,并求出了其输出电压的解析表达式。在此基础上,结合电路叠加原理,求解出了典型的2级层叠Blumlein线输出电压的时域解析表达式。采用递推法,推广得到任意级数情况下的输出电压波解析解。     

聚龙一号驱动Z箍缩负载内爆的简化电路模型

为方便描述聚龙一号装置与Z箍缩负载的电磁耦合过程,基于大量电参数实验数据和全电路模拟分析,建立了一个简化的集总电路模型,获得了等效电压波形和等效电阻、电感等集总参量。采用水介质三板输出线出口位置的开路电压作为等效电压,进一步拟合为正弦平方函数,峰值为3.3 MV（当前驱动器充压为65 kV）,零到峰值的时间长度为102.5ns。采用简化的流阻抗模型描述磁绝缘传输线内部空间电子流的电流损失效应。将电路程序与零维负载动力学程序耦合模拟,得到了与实验结果符合的负载电流波形,尤其电流波形的前沿和峰值符合较好,分析了电磁能转化为负载动能的过程。     

双平衡式探测在激光测速仪中的应用研究

为了增大激光多普勒测速仪的测量距离,设计了基于马赫-曾德尔环形结构的双平衡式探测接收系统来提高灵敏度。基于平衡探测光电流的表达式,推导了平衡探测系统信噪比的表达式并对相关因素进行仿真实验。仿真结果表明：在相同光信号输入条件下,当两个探测器的量子效率比值在(0.236,1)之间时,平衡探测系统的信噪比高于普通相干探测系统的信噪比,并且当探测器量子效率相等时,信噪比最大。最后通过实验验证量子系数的比值对信噪比的影响。,