Dynamical understanding of loop soliton solution for several nonlinear wave equations

It has been found that some nonlinear wave equations have one-loop soliton solutions. What is the dynamical behavior of the so-called one-loop soliton solution? To answer this question, the travelling wave solutions for four nonlinear wave equations are discussed. Exact explicit parametric representations of some special travelling wave solutions are given. The results of this paper show that a loop solution consists of three different breaking travelling wave solutions. It is not one real loop soliton travelling wave solution.     

航海模拟器中的太阳视运动轨迹的算法

在传统天文学的天体视运动轨迹计算方法的基础上,给出一种在航海模拟器中应用的太阳视运动轨迹的计算方法,并且针对太阳在视运动当中高度变化的特点,提出了一种新的坐标变换方法,以逼真模拟太阳的视运动.     

APPLICATION OF MOLECULAR ORBITAL GRAPH THEORY——A CUTTING-OFF BOND FORMULA FOR α_k

The graph formula for the coefficient α_k of the HMO characteristic polynomial hasbeen obtained by means of the molecular orbital graphic theory, and thus the closedformulas for the homologous conjugated molecule are given.     

Rotators,periodicity, and absence of diffusion in cyclic cellular automata

Cyclic cellular automata are two-dimensional cellular automata which generalize lattice versions of the Lorentz gas and certain biochemistry models of artificial life. We show that rotators and time reversibility play a special role in the creation of closed orbits in cyclic cellular automata. We also prove that almost every orbit is closed (periodic) and the absence of diffusion for the flipping rotator model (also known as the ant).     

高次退化的非线性向量场分支

本文讨论了一个在分支值线性部分具两个零特征根且只有一个Ｊｏｒｄａｎ块，而非线性项为５次的平面向量场，得到了完整的轨线分支图。本文引入的讨论判断函数性质的方法具有一般性，因而也将适用于具更高次退化的非线性情况的研究。     

On orbit equivalence of borel automorphisms

LetE andF be two Borel sets of the countable productZ of the two point space {0,1}. Assume thatE andF are invariant sets for the odometer transformationR and thatE andF are of measure zero with respect to the unique finiteR-invariant measure onZ. We show thatE andF areR-orbit equivalent in a strict sense.     

周期时间制约的非Hamliton可积Kolmogorov系统的混沌与次谐波

本文研究一类非Hamilton可积的Kolmogorov生态系统的周期激励模型，应用Melnikov方法，得到了该系统存在混沌与次谐分枝的某些充分条件。     

Single line queue with repeated demands

We analyze a model of a queueing system in which customers can only call in to request service: if the server is free, the customer enters service immediately, but if the service system is occupied, the unsatisfied customer must break contact and reinitiate his request later. Such a customer is said to be in “orbit”. In this paper we consider three models characterized by the discipline governing the order of re-request of service from orbit. First, all customers in orbit can reapply, but are discouraged and reduce their rate of demand as more customers join the orbit. Secondly, the FCFS discipline operates for the unsatisfied customers in orbit. Finally, the LCFS discipline governs the customers in orbit and the server takes an exponentially distributed vacation after each service is completed. We calculate several characteristics quantities of such systems, assuming a general service-time distribution and different exponential distributions for the times between arrivals of first and repeat requests.     

快变量空间中的同宿轨道分支

本文考虑奇摄动问题的位于快变量空间中的奇异同宿轨道的保存和周期轨道分支问题.文中关于奇异同宿轨道保存的结论推广了一些已知的结果,而周期轨道产生于奇异同宿轨道的分支则提供了一种新的分支类型.     

苯丙氨酸体系片段CDA及轨道相互作用

采用密度泛函理论中的B3LYP方法, 在3-21G基组水平上优化气相S型苯丙氨酸（S-Phe）手性对映体的几何构型, 计算Phe分子轨道波函数及片段轨道间的电荷分解分析(CDA), 并给出片段COOH,C₆H₅和NH₂形成过程中片段间的轨道相互作用图. 结果表明: 片段COOH,C₆H₅和NH₂基于CDA的ri项最大正值分别为r₁₉,r₁₇和r₁₅, 即分子轨道的形成导致占据片段轨道的电子向交叠区域转移; 片段COOH和NH₂基于CDA的ri项最大负值分别为r₄₄和r₃₅, 即分子轨道的形成导致片段间占据片段轨道的电子从交叠区域移走.