Secondly, we show the calculating formulae about the quality of Hopf bifurcation in the first bifurcated curve with the normal form method of calculating Hopf bifurcation.

接着我们应用Hassard的计算Hopf分支的"规范型"方法，给出了在第一条分支曲线上分析Hopf分支性质的公式。

By using the normal form theory, the Hopf bifurcation behavior of the dynamic system is exploited. We compared qualitative property with the system with saturated reaction speed.

利用微分方程定性理论,完整地研究了该系统极限环的不存在性和存在唯一性的充分条件,利用规范形理论,研究了该系统的Hopf分岔,并与具有米氏饱和反应速度的生化模型的定性性质进行了比较。

We reduce the vector field by normal form theory. Then the study is equivalent to the study of the system:which is a class of 5-degree Lienard equations with central symmetry.

利用正规形理论将上述向量场简化，则对上述向量场的研究等价于对K_n~m型的中心对称的五次Liénard方程的研究，这里n=5。

It summaries and outlines the normal form of statistical inference. From the point view of criticism it dialectically discloses the incompleteness of statistical inference, and also does some further research on a few specific statistical inference processes.

归纳和概括了统计推理的范式，用批判的观点辩证地揭示了统计推理的不彻底性，并对一些具体的统计推理过程进行了较为深入的探究。

Furthermore, we prove that those relations mapped fromXML are all in Third Normal Form.

而且,可以证明映射后的关系都是满足第三范式的。

A geometric condition for the existence of the uniform normal form and corresponding coordinate transformation are derived.

给出一致标准形存在的几何条件和所需的坐标变换。

We also refer to the center manifold theorem and normal form theory, and list two calculation formulas which reflect the stability with Hop bifurcating periodic sollution, bifurcating direction. Thus provide a basis for numerical simulation calculation.

我们还用中心流形定理和规范型理论给出了确定Hopf分支周期解的稳定性，分支方向的计算公式，为数值模拟计算提供了依据。

So the investigation of the normal form theory should have a wide use.

规范形理论的研究有深远的理论意义和应用前景。

Normal form analysis reveals that nonlinear modal interactions may have significant influence on the system response.

正规形方法揭示了非线性模式相关性对系统动态特性的影响。

Applying the normal form method of gyroscopic systems, the normal form of equations of motion with 0:1 internal resonance and second mode resonance are obtained.

应用陀螺系统的正规型推导方法,通过一系列的变换得到了系统在0:1内共振与支承激励频率等于第二阶固有频率时的正规型方程,推导出把无摄动正规型方程变换为哈密顿方程的条件。