分岔

In this thesis,we consider the problem basing on the Picard-Fuchs equationand bifurcation theory,also using known methods and techniques.We establish therelationship between the number of zeros of the Abelian integral and the number ofintersection points of the"centroid curve"with any straight line.

本文以Picard-Fuchs方程和分岔理论为基础，充分利用已有的方法和技巧，把对Abel积分零点个数的研究转化为对"质心曲线"和任意直线交点个数的研究。

The dynamic bifurcation characteristics of single point mooring systems under the action of tidal current is investigated.

研究了潮流作用下单点系泊船舶的动态分岔特性。

The distribution of the associated characteristic equation roots is given according to the polynomial theorem, and the conditions for ensuring the existence of Hopf bifurcation are obtained. The obtained result is applied to chaotic control.

利用多项式理论给出了其特征方程根的分布，得到了Hopf分岔产生的条件，并将结果应用到混沌神经网络的控制中。

Choosing time delay as the control parameter, the stability of trivial equilibrium is discussed by analyzing distribution of the roots of the associated characteristic equation. It is found that Hopf bifurcation occurs from trivial equilibrium when the delay passes through critical values, then the critical values and their relations with system control parameters are obtained.

以时滞量为参数，通过分析对应线性系统特征方程的根的分布，讨论了平凡解的稳定性，得到了平凡解发生Hopf分岔而失稳的临界时滞量以及临界时滞量与系统控制参数的关系。

In this paper , for a co-dimension two-bifurcation system that is on a three-dimensional central manifold and subjected to a parametric excitation by a white noise , the asymptotic expansion of the maximal Lyapunov exponent is evaluated.

为了分析白噪声参数激励对三维中心流形上一类余维2分岔系统的影响，本文基于一维扩散过程的奇异点理论，通过使用 L。

Different types of the solutions may bifurcate from the equilibria with the chang of the parameters.

随着参数的变化，从平衡点分岔出不同的解。

Now nonlineardynamical systems with parametric excitation are one of the most important systems intheory of nonlinear oscillations.

在非线性振动理论中目前最具有代表性的一类系统是含有参数激励的非线性动力系统，在这类系统中有着极其丰富和复杂的动力学行为，如分岔、分形和混沌振动等。

At still higher intensity, especially near tube resonance, the numerical findings appear half and even quarter frequencies, a phenomenon of bifurcation.

在相当高的声级，特别是在管中共振时，数值结果中有二分频和四分频等成分，出现了分岔现象。

Inflorescences corymbose, terminal, at branch forks, or sometimes axillary; fruit of at least partly separated carpels.

花序伞房状，顶生，有时在分枝分岔处，或腋生；至少部分分开的心皮的果。

This thesis discusses the bifurcations and fractals of Holmes-Duffing oscillator under some kinds of excitations.

本论文主要讨论了Holmes-Duffing振子在各种激励下的分岔与分形。

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。