混合型无穷质点马氏过程的有势性和可逆性

本文考察不超过N个位置同时发生演变的混合型无穷质点马氏过程,证明了这种过程的存在性及测度关于这种过程可逆的判别准则并在一定假设之下给出了有势的充要条件,此时可逆测度集R与Gibbs态集g~N(v)一致,而有势性与可逆性等价。     

Adaptive robust control of chaotic oscillations in power system with excitation limits

With system parameters falling into a certain area, power system with excitation limits experiences complicated chaotic oscillations which threaten the secure and stable operation of power system. In this paper, to control these unwanted chaotic oscillations, a straightforward adaptive chaos controller based on Lyapunov asymptotical stability theory is designed. Since the presented controller does not need to change the controlled system structure and not to use any information of system except the system state variables, the designed controller is simple and desirable. Simulation results show that the proposed control law is very effective. This work is helpful to maintain the power system＇s security operation.[第一段]     

反应溅射沉积技术制备燃料电池催化层的模拟

反应溅射沉积技术(RSDT)可以生成纳米大小的颗粒并有效溅射形成性能稳定的催化层,是一项崭新的催化层制备技术。为从理论上研究RSDT过程的复杂物理化学过程,本文提出了RSDT过程的三维综合数学模型,模型描述了流体流动、热/质传递,并与燃料气的化学反应和液滴的燃烧相耦合。RNGκ-ε模型用于描述湍动燃烧气流,液滴的跟踪和分析在拉格朗日框架下进行,并利用Monte Carlo方法生成了催化层的表面结构。计算结果可以为该技术的优化提供一定的参考。     

超高速分布放大光孤子传输系统分析

利用微扰理论方法推导了飞秒光孤子脉冲在具有一定带宽限制的分布放大光纤传输系统中传输时，脉冲宽度和频移的变化方程，此方程有稳态解，并得到稳定传输时，脉冲宽度及频移的解析表达式。     

温度对吡啶离子液体性质影响的分子动力学模拟研究

运用分子动力学模拟方法研究了温度对三种吡啶离子液体[BPy][BF_4]、[HPy][BF_4]、[OPy][BF_4]热力学性质的影响,得到了每个体系的密度、自扩散系数、电导率和黏度等.研究结果表明:随着温度升高,同一种离子液体的密度减小,阴阳离子的自扩散系数明显增大,电导率升高,而黏度降低.在同一温度下,随着阳离子上烷基链的增长,离子液体的密度减小,但热力学性质的变化规律并不完全同步.烷基链长最短的[BPy][BF_4]的自扩散系数和电导率在每个温度下均为最大,而黏度最小;但烷基碳链更长的[OPy][BF_4]和[HPy][BF_4]的各种性质相差不大,甚至当温度大于323 K时,烷基链较长的[OPy][BF_4]的自扩散系数比[HPy][BF_4]的大.     

Random shortcuts induce phase synchronization in complex Chua systems

This paper studies how phase synchronization in complex networks depends on random shortcuts, using the piecewise-continuous chaotic Chua system as the nodes of the networks. It is found that for a given coupling strength, when the number of random shortcuts is greater than a threshold the phase synchronization is induced. Phase synchronization becomes evident and reaches its maximum as the number of random shortcuts is further increased. These phenomena imply that random shortcuts can induce and enhance the phase synchronization in complex Chua systems. Furthermore, the paper also investigates the effects of the coupling strength and it is found that stronger coupling makes it easier to obtain the complete phase synchronization.     

Topological probability and connection strength induced activity in complex neural networks

Recent experimental evidence suggests that some brain activities can be assigned to small-world networks. In this work, we investigate how the topological probability p and connection strength C affect the activities of discrete neural networks with small-world (SW) connections. Network elements are described by two-dimensional map neurons (2DMNs) with the values of parameters at which no activity occurs. It is found that when the value of p is smaller or larger, there are no active neurons in the network, no matter what the value of connection strength is; for a given appropriate connection strength, there is an intermediate range of topological probability where the activity of 2DMN network is induced and enhanced. On the other hand, for a given intermediate topological probability level, there exists an optimal value of connection strength such that the frequency of activity reaches its maximum. The possible mechanism behind the action of topological probability and connection strength is addressed based on the bifurcation method. Furthermore, the effects of noise and transmission delay on the activity of neural network are also studied.     

基于微分几何方法的永磁同步电动机的混沌运动的控制

永磁同步电动机(PMSM)在某些参数及工作条件下会出现混沌运动，这将危及电机传动系统的稳定运行，因此如何抑制或消除PMSM中的混沌成为保持其稳定性的关键问题.利用微分几何控制理论，首先从解析上推导出PMSM混沌运动控制律的表达式，然后对控制过程进行仿真.理论分析及数值仿真结果表明：该控制策略不仅行之有效，而且相对其他控制方法具有一定的优越性.研究结果对保证电机传动系统的稳定运行具有较好的参考价值. 关键词： 混沌控制 微分几何 准确线性化 永磁同步电动机     

Identification of denatured and normal biological tissues based on compressed sensing and refined composite multi-scale fuzzy entropy during high intensity focused ultrasound treatment

In high intensity focused ultrasound(HIFU)treatment,it is crucial to accurately identify denatured and normal biological tissues.In this paper,a novel method based on compressed sensing(CS)and refined composite multi-scale fuzzy entropy(RCMFE)is proposed.First,CS is used to denoise the HIFU echo signals.Then the multi-scale fuzzy entropy(MFE)and RCMFE of the denoised HIFU echo signals are calculated.This study analyzed 90 cases of HIFU echo signals,including 45 cases in normal status and 45 cases in denatured status,and the results show that although both MFE and RCMFE can be used to identify denatured tissues,the intra-class distance of RCMFE on each scale factor is smaller than MFE,and the inter-class distance is larger than MFE.Compared with MFE,RCMFE can calculate the complexity of the signal more accurately and improve the stability,compactness,and separability.When RCMFE is selected as the characteristic parameter,the RCMFE difference between denatured and normal biological tissues is more evident than that of MFE,which helps doctors evaluate the treatment effect more accurately.When the scale factor is selected as 16,the best distinguishing effect can be obtained.     

大学物理实验教学模式改革探索与研究

大学物理实验教学模式改革的目标是紧密围绕课程培养方案,坚持"以学生为中心",通过"互联网+"技术,改革课堂教学模式和教学方法,提高课程的整体质量和教学水平.通过将传统的课堂教学模式与慕课堂、翻转课堂、线上线下混合式教学、虚拟仿真等新型教学模式相结合,使之适应现代化高等教育的需求,成为能够对学生核心素质提升和专业能力培养具有重大影响的"有用的"课程.