分岔

This is the first time that bifurcation phenomena are observedin closed tube.

首次在驻波管中观测到了次谐波、分岔现象。

Regulations of bifurcation in closed tube are narrated.

对由策动单元和驻波管构成的耦合系统所产生次谱波、分岔的规律做了论述。

Finally,we demonstrate the rich dynamics of codimension two bifurcations with numerical simulations.

并通过数值模拟解验证了余维2分岔丰富的动力学性质。

According to normalforms that we obtained,we study universal unfolding for some degenerate bifurcationcases of codimension three and some simple global characterizations.

利用共轭算子法研究了具有幂零线性部分和不具有Z2—对称性的非线性动力系统的2阶规范形、3阶规范和4阶规范形，讨论了几种余维3退化分岔情况下的普适开折问题及其一些全局特性。

The results show that the universal unfolding with respect to the excitation amplitude possesses codimension 3. The transition sets in unfolding parameter plane and the bifurcation diagrams are plotted under some conditions.

结果表明：关于外部激励振幅的普适开折具有余维3，在某些条件下，得到了转迁集及分岔图。

Finally we study universal unfoldings correspondingto normal forms for the degenerate bifurcations of codimension two,codimension threeand codimension four.

最后研究了余维2退化、余维3退化和余维4退化分岔情况下相应规范形的普适开折。

David Colander,2000, The Complexity Vision and the Teaching of Economics.

陈平，2000：《文明分岔、经济混沌和演化经济学》，经济科学出版社。

Limit cycle flutter of a two-dimensional airfoil in cubic nonlinear aeroelastic system in incompressible flow is investigated.

引 言 在不可压缩流中的二元机翼是一个典型的自激振动的例子，在该系统中引入非线性项一般会产生如Hopf分岔，极限环颤振[1]，周期倍化及混沌等现象。

Comparison of inflection between the using of linear and nonlinear function to simulate the defluxion of the cantilever was made in this paper.

并比较了分别用线性、非线性函数模拟悬臂梁偏转对系统动力学行为的不同影响，发现了分岔图出现跳跃这一光滑系统常见的现象。

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。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。