Isolating block and existence of connecting orbits

Using the notion of an isolating block, some existence criteria of trajectories connecting two critical pints of planar dynaniiral systems are given. Project supported by the National Natural Science Foundation of China.     

关于广义Liēnard方程的中心问题

本文研究广义Lienard方程的中心问题，得到了广义Lienard系统的局部中心的充分条件和全局中心的充要条件     

Classical Mechanics Without Determinism

Classical statistical particle mechanics in the configuration space can be represented by a nonlinear Schrödinger equation. Even without assuming the existence of deterministic particle trajectories, the resulting quantum-like statistical interpretation is sufficient to predict all measurable results of classical mechanics. In the classical case, the wave function that satisfies a linear equation is positive, which is the main source of the fundamental difference between classical and quantum mechanics.     

High sensitive electrolytical conductivity measurements of irradiated polymer films of 1μm thickness measured by a modified experimental set-up

The interaction of heavy ions with solids produces a narrow radial core of primary damage. The actual nature of the damage and the mechanism of its formation is not yet fully understood.

The technique of the electrochemical etching of irradiated samples is an useful method to investigate these structures of the track cores. The transversale etching rate as a function of the radius, derived from the time-dependence of the radius of the etching pore, can be interpreted as the corresponding magnitude of the degree of the damage within the track core.

To carry through measurements of smallest radii of etching pores, their very high electric resistance respectively, a sophisticated experimental set-up is required.

An advanced set-up is performed, which enables, by application of a combined d.c.-a.c.-method, to measure the resistance of the sample during the whole etching process, associated with the origin of pore and its growth up to radii of 10 nm and more.     

Conductivity of aged non-overlapping and overlapping tracks in ion irradiated polyimide

Non-overlapping as well as overlapping tracks of energetic ions have been introduced into polyimide foils. After aging their conductivity was measured. This — to our knowledge — first systematic study shows that conductivity does not only result from multiple track overlapping, but can be found already in single ion tracks. This conductivity is shown to be primarily a consequence of electronic energy transfer. The conductivity of single ion tracks is higher than that of typical insulators, but still orders of magnitude lower than that of typical semiconductors. The conductivity is independent of the applied electric field strength until at excessive voltages the electric current increases nonlinearly up to complete breakthrough. The total conductivity of an irradiated polyimide foil increases proportionally with ion fluence for large ion track spacings, and approaches saturation when the electronically active track regimes begin to overlap. Above some thousand times track overlapping however, new chemical and structural changes in the irradiated material lead to another strong increase in conductivity.     

用于煤矿信集闭系统车号传感器的研究

研制了一种新型非接触式机车车号传感器。通过红外线发射与接收实现信号检测,利用导线将信号传回调度室,经译码后用于车号显示及机车调度。为了提高系统抗干扰性能,红外光线经40kHz的调制器调制后发射,光电转换信号以电流方式传输,传输线的两端经光电耦合隔离,译码时采用软件纠错。传感器最多可对64辆机车实现车号检测。结果表明,这种新型非接触式机车车号传感在实际使用中没有出现过丢码和错码现象。     

A nonconvex dissipative system and its applications (II)

This paper presents exact solutions in terms of implicit functions and hyperbolic functions to a nonconvex dissipative system, controlled by a Duffing–van der Pol nonlinear equation with a fifth-order nonlinearity. Applications to the complex Ginzburg–Landau equation are illustrated and several classes of uniformly translating solutions are obtained accordingly. Part of the work was announced at the International Conference on Complementarity, Duality, and Global Optimization in Science and Engineering, Virginia Tech. University, Blacksburg, Virginia, August 15–17, 2005. This work is supported by NSF Grant CCF–0514768.     

Advanced adiabatic approximation for momentum distributions of ejected electrons in slow atomic collisions

The problem of determination of momentum distributions of ejected electrons in slow atomic collisions is studied within the impact-parameter method by using a dynamic adiabatic basis which takes into account the correct boundary conditions. An expression is obtained which relates the momentum distribution of the ejected electrons with a coherent sum of the delocalized dynamic adiabatic eigenstates (elementary wavepackets). The form of the momentum distribution exactly coincides with the form of the total wavepacket in configuration space. General formulas are applied to a model problem of electron detachment in the process in which the electron-atom interactions are described by the zero-range potentials. In the example considered, the momentum distribution of ejected electrons, in the center-of-mass frame, exhibits a maximum located in the scattering plane on the circle of radius (in atomic units), where v is the relative collision velocity and is the impact parameter. Received: 5 October 1998     

原子──分子离子反应N＋NH~＋（0，0）→N_2（V’，j’）＋H~＋的准经典轨线的研究

用准经典轨线法研究原子－原子离子反应Ｎ＋ＮＨ＋（０，０）→Ｈ＋＋Ｎ２（ｖ’，ｊ’）。这是一个放能的无阈能反应，且存在平均振动能随初始平动能升高而线性下降的特点。基于对势能面的分析，成功地解释了反应机理。     

考虑随机过程影响的径迹重建

对L3宇宙线实验中μ子事例的动量重建方法进行了研究.在事例的重建中,考虑了某些影响径迹重建精度的因素,如磁谱仪内部磁场的非均匀性和仪器自身物质对粒子的多次散射等过程引起的误差.经过修正后的μ子事例的动量分辨有了显著的改善.