一种新型二分网络类局域世界演化模型

现实世界中复杂网络的演化存在很明显的局域选择现象，然而目前关于二分网络中的局域世界演化模型研究较少．因此，本文建立了一个基于二分网络的类局域世界演化模型．首先定义了网络节点度值的饱和度．在此基础上提出了一种新型二分网络局域世界演化模型．新节点加入系统不需要全局知识，而是通过节点在网络演化的不同时刻度值饱和度为选择条件构造新节点的局域世界，然后利用择优连接从局域世界中选择节点增加连边完成网络演化．此类模型中新节点的局域世界是通过节点饱和度的限制被动生成，因此又称为类局域世界模型．通过模拟分析发现在节点度值饱和度的限制下择优连接并没有产生具有幂率特性的度分布，而是生成了度分布相对均匀的二分网络，即节点度值分布区间较小．此外，本文还给出了该网络的混合系数计算结果，该结果显示网络同配性与网络参数的选择有关，这一结果与网络邻点平均度的模拟结果一致．  

Projective synchronisation with non-delayed and delayed coupling in complex networks consisting of identical nodes and different nodes

This paper first investigates the projective synchronisation problem with non-delayed and delayed coupling between drive-response dynamical networks consisting of identical nodes and different nodes.Based on Lyapunov stability theory,several nonlinear controllers are applied to achieve the projective synchronisation between the drive-response dynamical networks;simultaneously the topological structure of the drive dynamical complex networks can be exactly identified.Moreover,numerical examples are presented to verify the feasibility and effectiveness of the theorems.  

The analysis of complex behaviours of a novel three dimensional autonomous system

This paper introduces a new three dimensional autonomous system with five equilibrium points.It demonstrates complex chaotic behaviours within a wide range of parameters,which are described by phase portraits,Lyapunov exponents,frequency spectrum,etc.Analysis of the bifurcation and Poincar’e map is used to reveal mechanisms of generating these complicated phenomena.The corresponding electronic circuits are designed,exhibiting experimental chaotic attractors in accord with numerical simulations.Since frequency spectrum analysis shows a broad frequency bandwidth,this system has perspective of potential applications in such engineering fields as secure communication.  

Noncontinuous Solitary Wave Solutions for Double sine-Gordon Equation

Using the tanh method and a variable separated ordinary difference equation method to solve the double sineGordon equation, we derive some new exact travelling wave solutions, especially a new type of noncontinuous solitary wave solutions. These noncontinuous solitary wave solutions are verified by using the conservation law theory.  

Modification of the Clarkson-Kruskal Direct Method for a Coupled System

A new idea is put forward to modify the Clarkson-Kruskal （CK） direct method. Using the usual CK direct method to a coupled KdV system, two types of usual similarity reductions can be obtained. However, the application of the modified CK direct method leads to three types of new similarity reductions different from the usual ones.  

基于开缝基板的大功率LED散热性能研究

为了实现大功率多芯片LED的芯片直装散热(COH)封装的高效散热,提出了一种开缝基板的新型散热结构,并运用Icepak仿真软件模拟分析了在自然对流下不同缝间距对结温、热阻、流场分布和换热特性的影响。结果表明,开缝基板能有效改善流场分布,提高表面换热系数,增加散热性能。在传导和对流的双重作用下,存在最佳缝间距使结温和热阻最低,输入功率为1 W时,结温和热阻分别降低3.2K和1.01K/W。随芯片输入功率的增加,开缝基板的散热效果愈发明显。同时,开缝基板的提出也节省了器件封装成本。  

Spectrum Analysis and Circuit Implementation of a New 3D Chaotic System with Novel Chaotic Attractors

The new autonomous system with only three equilibrium points is introduced. This system does not belong to the generalized Lorenz systems. The novel attractors are observed over a large range of parameters, which have rarely been reported in previous work. As an important component in chaotic signal generators, a physical circuit has been designed. The experimental results are in agreement with numerical simulations. More significantly, spectral analysis shows that the system has an extremely broad frequency spectral bandwidth in 0-131.6 Hz, without investigating any possible electronic techniques, which is more desirable for secure communications.