Interleaving distribution of multifractal strength of 16-channel EEG signals

Muitifractai characteristics of 16-channel human electroencephalogram (EEG) signals under eye-closed rest are analyzed for the first time. The result shows that the EEGs from the different sites on the scalp have different muitifractai characteristics and the muitifractai strength value △α exhibits a kind of interleaving and left-right opposite distribution on scalp. This distribution rule is consistent with the localization of function and the iateralization theory in physiology. So △α can become an effective parameter to describe the brain potential character. And such a △α stable distribution rule on sites of the scalp means a classic cerebral cortex active state.     

The plasma membrane proton-translocating ATPase

Living cells require membranes and membrane transporters for the maintenance of life. After decades of biochemical scrutiny, the structures and molecular mechanisms by which membrane transporters catalyze transmembrane solute movements are beginning to be understood. The plasma membrane proton-translocating adenosine triphosphatase (ATPase) is an archetype of the P-type ATPase family of membrane transporters, which are important in a wide variety of cellular processes. The H+-ATPase has been crystallized and its structure determined to a resolution of 8 angstrom in the membrane plane. When considered together with the large body of biochemical information that has been accumulated for this transporter, and for enzymes in general, this new structural information is providing tantalizing insights regarding the molecular mechanism of active ion transport catalyzed by this enzyme.     

轨道动力学可视化仿真研究

研究了在机车车辆一轨道耦合动力学视景仿真系统中，轨道系统动态行为仿真的逼真性和实时性问题，提出了一种能准确模拟轨道系统振动行为的有限长轨道单元法，考虑到钢轨以梁的形式参与振动的实质，通过实时建立具有一定垂向、横向和扭转振动形态的钢轨模型来模拟钢轨的振动行为。仿真结果表明，在保证优良的实时性的同时，利用该方法不仅可以建立更加符合实际的轨道模型，而且还能真实地模拟轨道子系统各组成部件的各种特殊振动行为。     

一类时滞免疫反应系统动力学行为仿真

研究一类时滞免疫反应系统在机体清除靶细胞能力对浆细胞增长有影响的情形下的动力学行为,用时滞微分理论证明系统正平衡点的稳定性与时滞的关系,给出其稳定判定方法。在模型解基础上,用仿真方法研究部分参数变化对系统动力学行为的影响,给出了免疫系统呈现不同动力学行为的参数范围,实现免疫系统动态特性的仿真。结果表明,对于给定时滞,免疫反应系统的动力学行为不敏感地依赖于抗体清除抗原速率,而敏感地依赖于抗原繁殖系数。     

高阶FD-WENO格式用于Richtmyer-Meshkov不稳定性数值模拟

用双曲守恒律组的高阶加权本质上无振荡有限差分格式(FD-WENO)求解在众多领域有着重要应用的高马赫数二维流体界面Richtmyer-Meshkov不稳定性问题及激波与气泡相互作用问题,获得了较为理想的数值结果。表明高阶FD-WENO格式的确特别适合于求解这类既具有激波有具有复杂流动结构的流体动力学问题,它比通常的二阶Godunov格式(如PPM等)更为优越。     

基于多种软件平台的卫星动力学仿真研究

卫星工具包STK(SatelliteToolKit)只能对自身的模块化方案进行验证和演示。引入了三维建模技术和可视化技术,并基于STK和Matlab的无缝连接,研究建立卫星动力学仿真系统。该仿真系统采用建模软件LightWave建立卫星三维模型,利用STK/Matlab模块提供的接口功能,开发新的轨道与姿态控制模块,为用户定制的轨道与姿态控制方案提供仿真、验证和演示。     

弹性轨道上二自由度磁浮车辆动力学仿真研究

建立了二自由度磁浮车辆轨道耦合动力学模型,选用合理的控制方案和数值算法,对车轨耦合动力响应基本特性进行了数值仿真,证明了所采用的控制方案能实现磁浮列车稳定悬浮运行。此项研究对进一步探讨磁浮车轨相互作用问题,完善系统设计参数具有参考价值。     

电厂湿法烟气脱硫过程优化控制研究

深入研究了具有混杂系统特性的电厂湿法烟气脱硫(WFGD)过程的优化与控制问题;运用混合逻辑动态的建模方法(Mixed Logical Dynamic)建立了WFGD过程的MLD模型,基于MLD模型的预测控制方法把WFGD过程优化问题转化为实时求解混合整数规划(MIQP)问题,实时给出了WFGD过程优化运行的连续决策变量(吸收塔浆液的PH值设定)和离散决策变量(循环浆液泵开启台数)的最优解;用同样方法实现WFGD过程基础回路级中具有非线性动态的PH对象的控制;仿真表明基于MLD模型预测控制方法很好地解决了WFGD过程的优化与控制问题。     

Dynamic spreading behavior of homogeneous and heterogeneous networks

The detailed investigation of the dynamic epidemic spreading on homogeneous and heterogeneous networks was carried out. After the analysis of the basic epidemic models, the susceptible-infected-susceptible (SIS) model on homogenous and heterogeneous networks is established, and the dynamical evolution of the density of the infected individuals in these two different kinds of networks is analyzed theoretically. It indicates that heterogeneous networks are easier to propagate for the epidemics and the leading spreading behavior is dictated by the exponential increasing in the initial outbreaks. Large-scale simulations display that the infection is much faster on heterogeneous networks than that on homogeneous ones. It means that the network topology can have a significant effect on the epidemics taking place on complex networks. Some containment strategies of epidemic outbreaks are presented according to the theoretical analyses and numerical simulations.     

基于最大流原理的复杂生态系统分形结构

生态系统具有分形等复杂性特点,一直是学术界关注的热点和难点.而现有的研究大都缺乏深入的动力学机理分析.针对这一空白,本文以一个远离平衡的复杂系统总是努力寻找一种优化过程,使得系统在给定的约束或代价下所获得的广义流最大这个思想出发,从微观动力学角度探讨了生态系统模式的分形长大过程.从尺度变化角度对分形生长思想进行了MATLAB数值模拟佐证.分析了影响分形维数的因素并比较了理论结果与实际例子,进而讨论了在实践中的可能应用.