查询词典 bifurcation

This paper is concerned with the analysis of cubic system's equivariant symmetric structure and the investigation of limit cycles bifurcation for several classes of equivariant cubic systems.

主要研究三次系统的等变对称结构以及不同结构的三次系统的极限环分枝行为。

In the frame scheme of the two-phase MPM,the modified strong decohesion model is coupled with the bifurcation analysis of the stress-strain field,whose stress state is updated with the corresponding return mapping algorithm developed here.

为了考虑饱和多孔介质中的流—固耦合特性，本章在破坏本构描述中引入了孔隙压强的影响，提出了改进的strong decohesion模型，并发展了相应的返回映射算法。

In this thesis, the stability and Hopf bifurcation of a neural network model described by a delay differential equation are investigated.

中文摘要：本文研究了一类具时滞效应的神经网络模型的平衡点的稳定性以及平衡点失稳后产生的Hopf分岔。

Near the bifurcation point, the linear stability of difference differential equation which describes acoustooptic bistable systems is analyzed, the expression of resonance frequency and amplification multiple are given.

在分岔点附近，通过对描述布拉格型声光双稳系统的差分－微分方程进行线性稳定性分析，得到了系统对小信号放大时的共振频率，给出了放大倍数的表达式。

Critical point theory;nonlinear elliptic differential and difference equation;existence of solution;multiply results;bifurcation;Trudinger—Moser inequality;applications

论文导师刘三阳，论文学位博士，论文专业应用数学论文单位西安电子科技大学，点击次数 4，论文页数 116页File Size3483K

The curriculum comprises the fundamental concepts of point set topology, differential manifold and differential dynamics, followed by the conceptions and theoretical methods of abrupt change, bifurcation, chaos and fractal. The analysis and compare combined with the practice in power system make it easy for readers to learn the basic methods of nonlinear dynamics and write high quality papers.

本课程主要内容包括点集拓扑学、微分流形和微分动力系统的基本概念，后面部分主要涉及到突变与分叉、混沌、分形和分维概念和理论方法，并结合电力系统实际例子加以分析与比较，使读者很快掌握非线性动力学的基本方法，能够写出高质量的文章和学术论文。

Secondly, regarding the diffusion rate as a bifurcation parameter, we show that the one-dimensional competition diffusion system with infinite delay and Dirichlet boundary condition exhibits the spatiotemporal structure near the steady state of the system.

介绍问题的生物学背景，概述Logistic模型和Volterra模型的研究历程并提出我们所研究的课题，另外还给出了所需的基础理论。

Finally, the influences of porosity and saturation on the discontinuous bifurcation are discussed.

最后，探讨了三相孔隙介质的孔隙度和饱和程度对非连续分叉的影响。

We explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method. We also investigate Hopf bifurcation by using Hassard method. Finally, some numerical simulations are made for system.Our paper are separated into seven chapters.

本文对一类具时滞和比率依赖的HollingⅢ型捕食-食饵系统进行了研究，利用Liapunov方法精确估计了正平衡点的吸引域，并利用Hassard方法研究了系统的Hopf分支，最后本文对一个具体模型进行了数值模拟。

The solution of the equation and the period of the particle motion for a non-pertubated system are expressed exactly by means of Jacobian elliptic function and the 1-st kind elliptic integral.Melnikov function of the rotated periodic orbit is constructed,and also bifurcation of the system is analyzed by the method.

利用Jacobian椭圆函数和椭圆积分给出了系统的解和粒子运动周期，用Melnikov方法构造了旋转型周期轨道的Melnikov函数，并用这个方法分析了系统的局部分叉性质。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。