用行波解法研究非线性偏振旋转控制光孤子系统

采用行波解法求解了将非线性偏振旋转控制机构作为强度滤波元件接入滤波控制光纤孤子系统的非线性薛定谔(NLS)方程,得到了近似形式的解析解,并得到了孤子振幅、中心位置、相位的演化方程,在此基础上研究了孤子系统的稳定性问题和孤子系统中由于滤波器带来的非孤子成份等问题.     

Effects of Screw Instability on Extracting Energy from a Rotating Black Hole

Magnetic extraction of energy from a rotating black hole (BH) is discussed in the coexistence of the BlandfordZnajek (BZ) process and the magnetic coupling (MC) process by considering the effects of the screw instability of the magnetic field. It is shown that the screw instability affects the configuration of the magnetosphere and the evolution characteristics of the BH, augmenting the energy extracted in the BZ and MC processes. In addition, the observed energy and duration of several gamma-ray bursts can be fitted well by virtue of our model.     

Lattice Boltzmann simulation of flows in bifurcate channel at rotating inflow boundary conditions and resulted different outflow fluxes

The Lattice Boltzmann method(LBM) is used to simulate the flow field in a bifurcate channel which is a simplified model of the draft tube of hydraulic turbine machine.According to the simulation results,some qualitative conclusions can be deduced.The reason of uneven flux in different branches of draft tube is given.Not only the vortex rope itself,but also the attenuation of the rotation strength is important in bringing on the uneven flux.The later leads to adverse pressure gradient,and changes the velocity profile.If the outlet contains more than one exit,the one that contains the vortex rope will lose flux because of this adverse pressure gradient.Several possible methods can be used to minimize the adverse pressure gradient domain in order to improve the efficiency of turbine machine.     

双轴旋转式SINS非线性初始对准方法

双轴旋转调制技术可以实现全部惯性元件常值误差的自补偿,从而提高惯性导航系统的导航精度.以双轴旋转调制式SINS初始对准方法为研究对象,建立了双轴旋转式SINS大方位失准角非线性误差模型,利用简化Unscented卡尔曼滤波(UKF)算法,设计了双轴旋转式SINS大方位失准角初始对准算法,利用提出的UKF算法进行了方位失...     

5-取代-1,2,4-三唑并[4,3-a]喹唑啉衍生物的合成及抗惊厥活性

合成了5-取代-1,2,4-三唑并[4,3-a]喹唑啉衍生物2a～2q.利用最大电惊厥法(MES)和旋转棒法(Rotarod Test),以小鼠腹腔给药,分别测定了其抗惊厥活性和神经毒性.药理实验结果表明,化合物5-正庚氧基-1,2,4-三唑并[4,3 -a]喹唑啉(2d)的抗惊厥活性最强,其半数有效量EDso为19.7 mg/kg,保护指数PI为6.2.由化学物质诱发的抗惊厥实验结果表明,化合物2d能对抗由戊四唑、异烟肼、硫代氨基脲和3-巯基丙酸诱发的惊厥作用,推测其抗惊厥作用是通过增强γ-aminobutyric acid (GABA)神经能系统和活化谷氨酸脱羧酶或抑制GABA转氨酶而起抗惊厥作用.     

Non-existence of KAM torus

Given an integrable Hamiltonian h ₀ with n-degrees of freedom and a Diophantine frequency ω, then, arbitrarily close to h ₀ in the C ^r topology with r < 2n, there exists an analytical Hamiltonian h _ε with no KAM torus of rotation vector ω. In contrast with it, KAM tori exist if perturbations are small in C ^r topology with r > 2n.     

“杀人风暴”审判大会

两大被告多于夏末或秋初“作案”,因为这时候的热带海洋温度最高。它们都是破坏力极强的旋风,在北半球逆时针旋转,在南半球顺时针旋转,但又有不同之处：1．龙卷风比飓风小多了;2．龙卷风比飓风更快,几乎会摧毁沿途的一切。     

球面上连续映射的一些新结果

本文研究了从球面到欧氏空间连续映射的性质.利用Brouwer映射度理论和微分拓扑的基本方法,获得了Borsuk-Ulam型定理,推广了Borsuk-Ulam定理.     

连续型凸动态规划的离散近似迭代法研究

为解决连续型凸动态规划的“维数灾”问题,提出了一种新的算法—离散近似迭代法.该算法的基本思路为:首先,将连续型状态变量离散化,根据网络图的构造方法将动态规划问题转化为多阶段有向赋权图;其次,运用极大代数求出起点至终点的最短路,即获得模型的一个可行解;最后,以该可行解为基础,继续迭代直到前后两个可行解非常接近.文章还证明了该算法的收敛性和线性收敛,并以一个具体例子验证了算法的有效性.