非自治动力系统中周期跟踪和极限跟踪的研究

根据自治动力系统中周期跟踪性和极限跟踪性的定义,将其引入到非自治动力系统。研究了非自治动力系统中周期跟踪性和极限跟踪性的动力学性质,得到：(1)若F={fi}i=0∞拓扑共轭于G={gi}i=0∞,则F具有周期跟踪性当且仅当G具有周期跟踪性;(2)若F={fi}i=0∞拓扑共轭于G={gi}i=0∞,则F具有极限跟踪性当且仅当G具有极限跟踪性;(3)若乘积系统(X×Y,F×G)具有周期跟踪性,则(X,F)和(Y,G)具有周期跟踪性。 以上结论对非自治动力系统中跟踪性的发展有一定的促进作用。     

带非线性边界条件的二阶奇异微分系统正解的存在性

研究了带非线性边界条件的二阶奇异微分系统边值问题-u″=ΛG(t)F(u),0<t<1,u(0)=0,u'(1)+C(u(1))u(1)=0正解的存在性,其中u=(u1,u2,?,un)T,G(t)=diag[g1(t),g2(t),?,gn(t)],且gi(t)(i=1,2,?,n)在t=0处允许有奇性F(u)=(f1(u),f2(u),?,fn(u))T,C=diag(c1,c2,?,cn),Λ=diag(λ1,λ2,?,λn),λi(i=1,2,?,n)为正参数。在非线性项F分别满足超线性、次线性和渐近线性的增长条件下,运用锥拉伸与压缩不动点定理获得了该问题正解的存在性结论。     

Femtosecond stimulated Raman spectroscopy

Advances in the field of Femtosecond Stimulated Raman Spectroscopy (FSRS), a new time‐resolved structural technique that provides complete vibrational spectra on the ultrafast timescale, are reviewed. When coupled with a femtosecond optical trigger, the time evolution of a reacting species can be monitored with unprecedented <25 femtosecond temporal and 5 cm^‐1 spectral resolution. New technological and theoretical advances including the development of tunable FSRS and a background‐free FSRS format are discussed. The most recent experimental studies focus on ultrafast reaction dynamics in electronically excited states: isomerization in cyanobacterial phytochrome, ultrafast spin flipping in a solar cell sensitizer, and excited state proton transfer in green fluorescent protein. The use of FSRS to directly map multidimensional reactive potential energy surfaces and to probe the mechanism of reactive internal conversion is prospectively discussed.     

Moment equations for a spatially extended system of two competing species

The dynamics of a spatially extended system of two competing species in the presence of two noise sources is studied. A correlated dichotomous noise acts on the interaction parameter and a multiplicative white noise affects directly the dynamics of the two species. To describe the spatial distribution of the species we use a model based on Lotka-Volterra (LV) equations. By writing them in a mean field form, the corresponding moment equations for the species concentrations are obtained in Gaussian approximation. In this formalism the system dynamics is analyzed for different values of the multiplicative noise intensity. Finally by comparing these results with those obtained by direct simulations of the time discrete version of LV equations, that is coupled map lattice (CML) model, we conclude that the anticorrelated oscillations of the species densities are strictly related to non-overlapping spatial patterns.     

A mini-review on econophysics:Comparative study of Chinese and western financial markets

We present a review of our recent research in econophysics, and focus on the comparative study of Chinese and western financial markets. By virtue of concepts and methods in statistical physics, we investigate the time correlations and spatial structure of financial markets based on empirical high-frequency data. We discover that the Chinese stock market shares common basic properties with the western stock markets, such as the fat-tail probability distribution of price returns, the long-range auto-correlation of volatilities, and the persistence probability of volatilities, while it exhibits very different higher-order time correlations of price returns and volatilities, spatial correlations of individual stock prices, and large-fluctuation dynamic behaviors. Furthermore, multi-agent-based models are developed to simulate the microscopic interaction and dynamic evolution of the stock markets.     

On the linearization of the coupled Harry－Dym soliton hierarchy

This paper is devoted to the study of the underlying linearities of the coupled Harry--Dym (cHD) soliton hierarchy, including the well-known cHD equation. Resorting to the nonlinearization of Lax pairs, a family of finite-dimensional Hamiltonian systems associated with soliton equations are presented, constituting the decomposition of the cHD soliton hierarchy. After suitably introducing the Abel--Jacobi coordinates on a Riemann surface, the cHD soliton hierarchy can be ultimately reduced to linear superpositions, expressed by the Abel--Jacobi variables.     

高成像质量Offner成像光谱仪的理论分析与研制

以双镜系统为基础构建了Offner成像光谱仪,并利用光程函数来获得一种Offner成像光谱仪的初始结构.通过光学设计软件Code V对该初始结构进行了仿真与优化,优化后的光谱仪具有高成像质量,其均方根点列图直径明显降低,调制传递函数曲线在子午像与弧矢像上都获得了好的成像效果.该研究免去了过于复杂的像差推导过程,并在宽光谱400~1 300nm条件下获得了具有高成像质量的Offner光谱仪结构,为光谱仪的搭建提供了理论基础.     

基于柔性电路板单纤双向光纤组件的以太无源光网络单元研制(英文)

随着宽带接入技术的发展,以太无源光网络是光纤到户的一种备选方案.而光网络单元数量众多,其成本成为限制以太无源光网络技术实施的重要影响因素.本文提出了一种低成本以太无源光网络单元实现方式:采用带柔性电路板的单纤双向光纤组件直接安装在光网络单元的电路板上.为了验证弯曲柔性电路板的高速性能没有恶化,采用有限元方法仿真了弯曲柔性电路板的小信号响应.由于该方式没有独立的光收发模块,无法采用比特误码分析仪进行测试,因此提出了采用网络测试仪搭建光网络单元的光信号性能测试系统的方案并实现了对光信号的性能测试.结果表明:对于发射机,在0℃~70℃的范围内得到了超过10dB的消光比和1dBm的平均发射功率;对于接收机,估算灵敏度为-27dBm.     

Theory of myelin coiling

A new model is proposed to explain coiling of myelins composed of fluid bilayers. This model allows the constituent bilayer cylinders of a myelin to be non-coaxial and the bilayer lateral tension to vary from bilayer to bilayer. The calculations show that a myelin would bend or coil to lower its free energy when the bilayer lateral tension is sufficiently large. From a mechanical point of view, the proposed coiling mechanism is analogous to the classical Euler buckling of a thin elastic rod under axial compression. The analysis of a simple two-bilayer case suggests that a bilayer lateral tension of about 1 dyne/cm can easily induce coiling of myelins of typical lipid bilayers. This model signifies the importance of bilayer lateral tension in determining the morphology of myelinic structures.