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101.
Dynamical understanding of loop soliton solution for several nonlinear wave equations 总被引:1,自引:0,他引:1
Ji-bin LI Department of Mathematics Zhejiang Normal University Jinhua China Kunming University of Science Technology Kunming China 《中国科学A辑(英文版)》2007,50(6):773-785
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. 相似文献
102.
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. 相似文献
103.
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). 相似文献
104.
高次退化的非线性向量场分支 总被引:2,自引:0,他引:2
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。 相似文献
105.
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. 相似文献
106.
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。 相似文献
107.
Single line queue with repeated demands 总被引:2,自引:0,他引:2
K. Farahmand 《Queueing Systems》1990,6(1):223-228
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. 相似文献
108.
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. 相似文献
109.
在中国聚变工程实验堆(CFETR)设计参数下,利用一种高能量粒子(EP)物理简化模型分析了磁流体动力学(MHD)不稳定中新经典撕裂模(NTM)引起的粒子再分布和损失。相位矢量旋转法利用EP相空间中小间隔区域内跟踪探测粒子对来判定粒子轨道随机与否,即记录连接矢量旋转角的方法标记该区域是否存在KAM面破缺,以此为据修正相空间的粒子分布函数和判断粒子损失。利用相空间探测粒子对相位矢量旋转法标记一定NTM幅度下的随机区域分布并迭代得到稳态分布剖面。对捕获粒子区域的共振岛探测结果表明,低频或零频率扰动不会与高能量α粒子形成有效共振,MHD扰动和有效碰撞效应可能使捕获-通行轨道边界附近形成损失通道。 相似文献
110.
A Trigger of Coupled Singularities 总被引:3,自引:0,他引:3
By using example of nonlinear dynamics of a pair of coupled gears, the phenomenon of appearance and disappearance of a trigger of coupled singularities and homoclinic orbits in the form of number eight in the phase portrait in the phase plane is investigated. That phenomenon is an accompanying phenomenon of loss of stability of the local unique equilibrium position. For a generalized case under certain conditions, a theorem of the appearance of a trigger of coupled singularities in a nonlinear dynamical conservative system, the first derivative of the system potential energy which is a product of two periodic functions with different periods, and one bifurcation parameter, which is the cause for the appearance of new roots of these two functions, is defined. 相似文献