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Then the explicit algorithm is derived for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions by using the normal form method and center manifold theorem.

然后，利用中心流形定理和正规型方法，给出了确定分支周期解的分支方向与稳定性的计算公式。

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。

This thesis mainly discusses numerical computation and simulation of transient periodic systems.

本文主要讨论瞬态周期系统的数值计算和模拟。

The results of numerical experiment based on data collected with real periodic and permanent monitoring systems are provided.

数值试验与真正的定期的和永久的监测系统收集的数据为基础的结果提供。

In this thesis, some theories and approaches related to continuous dynamics, discrete dynamics, impulsive dynamics, operator theory and numerical simulations are used to investigate dynamical behaviors including the existence and globally asymptotic stability of periodic solutions, permanence, extinction, and all kinds of complexities, and meanwhile the possible effects of delay and impulse on the dynamical behaviors are discussed.

我们的这些结果显示出这三个时滞周期系统正周期解存在且全局渐近稳定的充分条件在形式上几乎能够很好的与相应的无时滞自治系统正平衡态存在且全局渐近稳定的充分条件相对(来源：A5babBC论文网www.abclunwen.com)应，这些结果也显示了时滞对系统正周期解的存在性和全局渐近稳定性是有影响的，它们推广并改进了一些已有的相关结果。

Then we can turn the existence of periodic solution of this class of equations into the solvability of a operator equation.

再由这类方程的特点构造H→H的算子，将求周期解问题转化为求算子方程问题。

The main purpose lies in forming the spontaneous polarization vector with neighboring opposite periodic structure.

畴工程操作的目的在于形成自发极化矢量相邻相反的周期性结构。

From then on plenty of work had been done to research the periodic solution and stability of ordinary differential equation.

此后大量的工作研究常微分方程的周期解、稳定性，这在一定程度上解释了种群的共存、灭绝、持续生存。

It can be used to efficiently implement periodic correlations of phase-shift and sequence orthogonal comb-type pilot blocks in the time domain.

对比采用快速傅里叶变换的频域信道估计方案，采用该格形结构实现时域信道估计，其计算复杂度显著降低。

Consider symmetry of periodic area we get the symmetry transform group, act the eigenvector of self-cognation operator on the node bases element function, a series of orthogonal function is constructed.

找出一般周期空间的对称变换群，并将已知的有限元的单元基函数转化为节点基函数，将变换群的特征子空间作用有限元的节点基函数得出一系列的正交有限元函数。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。