二维均匀流作用的线性表面张力-重力短峰波解析解

考虑二维均匀流的作用,寻找到有限水深线性表面张力-重力短峰波系统的解析解.进而从中发现广义Doppler频移关系和广义色散关系.而且,广义本征频率直接与均匀流相关,具有对偶值,富于变化性. 关键词： 表面张力-重力短峰波 二维均匀流 广义Doppler频移关系 广义色散关系     

关于非自治系统三类广义同步存在性的研究

研究了两个单向耦合的非自治系统三类广义同步的存在性.在响应系统的修正方程具有渐近稳定平衡点、渐近稳定周期轨道或渐近稳定拟周期轨道的情况下,满足一定的条件,可将广义同步化流形存在性问题转化为Lipschitz函数族的压缩不动点问题,并且理论证明了该广义同步化流形的指数吸引性.同时,以Duffing系统为例进行了数值仿真,其结果与理论推导相一致. 关键词： 广义同步化流形 压缩不动点 指数吸引性     

三维四翼广义增广Lü系统

增广Lü系统是仅含有两个控制参数的三维混沌系统,可产生一个伪四翼吸引子.利用混沌反控制方法,通过在增广Lü系统中引入一个简单的线性状态控制器,提出了一个新三维混沌系统——广义增广Lü系统.新系统实现了一个真正的具有复合结构的四翼吸引子,它包含了两个镜像对称的子系统.理论分析、数值仿真和电路实验证明了广义增广Lü系统四翼吸引子的存在性,也阐述了广义增广Lü系统有着较增广Lü系统更加丰富的动力学特性. 关键词： 广义增广Lü系统 四翼吸引子 数值仿真 电路实验     

Equal-power 4m-th power sum squeezing of generalized magnetic-field component in vacuum state immiting four-state superposition multimode entangled state light field

By utilizing multimode squeezed states theory, we study the generalized nonlinear equal-power higherpower sum squeezing properties of the generalized magnetic-field component in four-state superposition multimode entangled state light field ｜ψ1^（4）〉q. The state is composed of multimode vacuum state, multimode coherent state and its contrary state, multimode imaginary coherent state. It is found that the state ｜ψ1^（4）〉q is a type of four-state superposition multimode nonclassical light field, and under certain fixed conditions, the generalized magnetic-field component in the state ｜ψ1^（4）〉q can display generalized nonlinear equal-power 4m-th power sum squeezing effects which change periodically.     

Generalized Harmonic Oscillator and the SchrSdinger Equation with Position-Dependent Mass

We study the generalized harmonic oscillator that has both the position-dependent mass and the potential depending on the form of mass function in a more general framework. The explicit expressions of the eigenvalue and eigenfunction for such a system are given, they have the same forms as those for the usual harmonic oscillator with constant mass. The coherent state and its properties corresponding effective potentials for several mass functions, for the system with PDM are also discussed. We give the the systems with such potentials are isospectral to the usual harmonic oscillator.     

高斯波束对离心球的辐射俘获力

基于广义洛仑兹-米氏理论(GLMT),研究了高斯波束对离心球的纵向辐射俘获力.用积分区域近似法计算波束系数,散射场的展开系数由矢量球面波函数的加法定理并求解边界条件得到.给出了高斯波束对在轴离心球辐射俘获力的计算公式并进行了数值模拟.将离心球退化为同心双层球,对离心球辐射俘获力的公式进行了验证.讨论了离心距对纵向俘获力的影响,也讨论r束腰半径、介质折射率和波长对纵向辐射俘获力的影响.     

双球聚集粒子辐射特性分析

基于广义Mie理论求解方法(GMM),考虑单元粒子之间的相互作用,计算了不同尺度参数不同间距的双球聚集粒子的衰减因子、散射因子等辐射特性参数,同时分析了双球聚集粒子与不考虑相互作用计算所得的辐射特性差异,分析结果表明:考虑相互作用与不考虑相互作用计算所得的双球聚集粒子的辐射特性存在着一定的差别,这种差别随粒子间距、尺度参数的变化而变化,最大偏差达30%左右.     

Complex Wave Solutions for （2＋1）-Dimensional Modified Dispersive Water Wave System

The extended Riccati mapping approach^[1] is further improved by generalized Riccati equation, and combine it with variable separation method, abundant new exact complex solutions for the （2＋1）-dimensional modified dispersive water-wave （MDWW） system are obtained. Based on a derived periodic solitary wave solution and a rational solution, we study a type of phenomenon of complex wave.     

Production of the neutral top-pion πt^0 in association with a high-pw jet at the LHC＊

In the framework of the topcolor-assisted technicolor （TC2） model, we study the production of the neutral top-pion πt^0 in association with a high-pw jet at the LHC, which proceeds via the partonic processes gg→πt^0g, gq →πt^0q, qq→πt^0g, gb（b）→πt^0b（b）, and bb→πt^0g. We find that it is very challenging to detect the neutral top-pion πt^0 via the process pp → πt^0 ＋jet ＋ X＋ tt＋jet ＋X, while the possible signatures of πt^0 might be detected via the process pp→πt^0 ＋jet ＋ X→（tc＋tc）＋jet＋X at the LHC.     

Generalized Synchronization of Time-Delayed Differential Systems

We establish two theorems for two time-delayed （chaotic） differential equation systems to achieve time-delayed generalized synchronization （TDGS）. The theorems uncover general forms of two TDGS systems via a prescribed differentiable transformation. Based on the theorems, we use two-coupled Ikeda equations as the driving system to construct TDGS driven systems via two prescribed transformations. Numerical simulations demonstrate the effectiveness of the proposed theorems. It may be expected that our theorems provide new tools for understanding and studying TDGS phenomena.