Global Solvability of Linear Differential Operators with Multiple Characteristics

In this paper, we first introduce the irreducible unitary representation of nilpotent Lie groups, then by using the irreducible unitary representation we construct a fundamental solution to a class of left invariant differential operators and thus obtain the global solvability of this kind of operators.     

非完整系统力学积分方法的某些进展

本文介绍非完整系统力学积分理论的某些近代发展,包括经典积分的推广,Lagrange力学逆问题,Hamilton-Jacobi方法的推广,场方法的推广,不变度量方法以及其它方法,并给出本问题未来发展方向的建议.      

Some pansystems studies on panchaos and strange panattractor

Paper [1] discussed the relations among panchaos and strange panattractor and pansystems operators. Paper [2] gave the applications of the fixed-point pansystems theorems to these typical nonlinear problems. In this paper, we firstly present several concepts: increasing relation, maximal panchaos, etc., and discuss the relations among them. We also discuss the problems when two increasing relations have the same panchaos and when panchaos of g is panchaos of g^t as well.     

Perturbation method for thin plate bending problems

In this paper, problems of bending of a thin plate under the action of in-plane forces are studied by using the method of multiple scales.     

Nonlinear Evolution Related to Invariant Functionals and the SUSY Transformations

A supersymmetrized formalism of the nonlinear evolution equations and the relation to the invariant functional are discussed.     

The Hamiltonian structures of 3D ODE with time-independent invariants

We have proved that any 3-dimensional dynamical system of ordinary differential equations (in short, 3D ODE) with time-independent invariants can be rewritten as Hamiltonian systems with respect to generalized Poisson brackets and the Hamiltonians are these invariants. As an example, we discuss the Kermack-Mckendrick model for epidemics in detail. The results we obtained are generalization of those obtained by Y. Nutku. First Received Nov. 22, 1993     

空间瞬态光辐射信号定位系统电路设计与实现

研究并设计了基于光学定位法的空间瞬态光辐射信号定位系统.该系统与能量探测系统协调工作,在能量探测系统识别到目标信号后,经过定位探测、行列编码存储及DSP处理计算,最后输出闪光信号光斑的重心坐标.介绍了系统组成及各部分电路的实现方法,并给出测试结果.实验表明,系统定位准确、设计方案可行.     

基于LVQ神经网络的目标识别技术

通过对目标特征的分析比较,选取不变矩作为识别特征.为了达到很好的识别效果,对不变矩做了优化处理.采用LVQ神经网络技术建立了识别模型,提高了识别速度.运用有限的样本对目标识别技术进行了测试,结果表明采用此技术后的识别成功率较高,平均约为98%,识别速度快,每幅二值目标图像的识别时间约为16 ms.     

The Dirac spectrum of Bieberbach manifolds

The Dirac spectra and the eta invariants of three-dimensional Bieberbach manifolds are computed. Compact connected three-dimensional spin manifolds admitting parallel non-vanishing spinors are identified as flat tori.