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The master equation approach to molecular motor's directed motion based on periodic one-dimensional three-state hopping model is studied.

利用主方程的方法，研究了在一维三态周期跳跃模型下分子马达的定向运动。

Based on the Green function technique,the authors have analyzed the effect of the decoupling approximation on treating the interelectronic correlations and then calculated the local moment,hybridization matrix element,and ground state energy of the one dimensional,symmetric,periodic Anderson model.

基于Green函数技术，作者首先分析了切断近似对处理一维对称周期Anderson模型中电子间关联的影响，然后计算了该模型的局域磁矩、杂化能量元和基态能量。

By combining with Poincare mapping and phase plane plot, the simple harmonic, non-harmonic monocycle, subharmonic, quasi-periodic and chaotic response arised in the system under different backlas...

通过分析各齿轮副的动载荷系数变化规律，讨论了各齿轮副啮合状态在非冲击、单边冲击以及双边冲击状态之间的转化过程和齿侧间隙的关系。

The monodromy matrix of the closed-loop system is represented as a special form by which the periodic control law can be obtained via the solution to a time-inviant Sylvester matrix equation.

通过将闭环单值性矩阵进行一系列转化，周期输出反馈律的求解问题可以转化为一类Sylvester矩阵方程的求解问题。

Consider the subharmonic bifurcation, a hypothesis of the monotonicity of periodic orbits is always needed.

在讨论次谐轨分岔时，总是在周期轨簇的周期是单调的前提下来进行的。

The main work is to give some sufficient conditions for the existence and global exponential stability of periodic solutions for PDNNs model, without assuming the smoothness, monotonicity and boundedness of the activation functions.

这里采用的主要方法仍然是Mawhin的重合度理论和Liapunov泛函的应用，并借助于一些重要的不等式和矩阵代数技术，得到更为一般并且具有很少限制的一些新的充分条件。

The existence of multiple periodic solutions of the equations is gotten by using convex Hamiltonian theory and Morse index theory.

讨论了一类扰动时滞微分方程的多重周期解的存在性问题，运用凸Hamilton系统理论和Morse指标理论得到了这类方程多重周期解的存在性。

By using saddle point reduction and Morse theory,we obtain an existence theorem of three periodic solutions for this equation.By means of E~+-Morse theory established by A.

本章还首次应用临界点理论研究中立型泛函微分方程的次调和解，在变分泛函中允许含有时滞变量，从而给出了研究这类方程周期解的新途径。

Delay differential equations; variational structure; Minimax theory; Morse theory; multiple periodic solutions; subharmonic solutions; Z_p geometrical index

基础科学，数学，数学分析时滞微分方程；变分结构；极小极大理论； Morse理论；多重周期解；次调和解；广义Z_p几何指标

In this paper, using Moser Twist Theorem, we obtain the existence of quasi-periodic solutions and the boundedness of solutions for Duffing equations and Liénard equation with some symmetric structure.

本文将利用Moser的扭转定理来研究Duffing方程和具有某种对称性的Liénard方程的拟周期解的存在性以及解的有界性。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。