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The electric potential oscillation including periodic oscillation,quasi- periodic oscillation and turbid oscillation of carbon steel/H2SO4＋ K2Cr2O7/Pt system has been studied.

刘靖研究了碳钢/H2SO4+K2Cr2O7/Pt体系中的电位振荡现象，如周期振荡、准周期振荡和混沌振荡等，并对其振荡机理进行了初步分析和讨论。

It is demonstrated that the system can exhibit unstable periodic 3 3 motion bifurcated from periodic 1 1 motion on the resonance condition, and the transition from subharmonic impacts to chaos is disscussed.

分析并证实了碰撞振动系统在此共振条件下可由稳定的周期 1 1振动分叉为不稳定的周期 3 3振动，讨论了亚谐振动向混沌运动的演化过程

It introduces partial fractions of meromorphic functions, product developments of entire functions, Hadamard's theorem, Riemann Zeta functions, Poisson-Jensen's formula; elliptic functions, including simply periodic functions and doubly periodic functions; algebraic functions and algebroid functions, Riemann surface, Nevanlinna theory, including characteristic functions, the first and second fundamental theorems, growth orders, etc; complex differential equations and complex functional equations, etc.

具体为：亚纯函数的部分分式、整函数的无穷乘积展开、Hadamard定理、Riemann Zeta函数、Poisson-Jensen公式；椭圆函数，包括单周期函数、双周期函数；代数函数和代数体函数、Riemann曲面简介；Nevanlinna理论简介，包括特征函数、第一和第二基本定理、增长级等；复微分方程和复函数方程，等等。在教学内容上充分体现基础性、新颖性。

In order to prove the existence of the periodic boucing solutions, firstly we will introduce a new coordinate transformation, transform the system from right half plane to the whole plane. And give the relation of the eigenvalues of Hill's equation and the rotation numbers, using this approach and Pioncar -Birkhoff twist theorem, we proved the existence of the periodic bouncing solutions for asymptotical linear oscillator.

对于周期解的存在性证明，我们引进新的坐标变换把右半平面上的碰撞问题转化到整个平面上，给出旋转数与Hill方程的特征值的关系，并以此来度量渐近线性振子，再应用Pioncaré-Birkhoff扭转定理得到周期碰撞解的存在性。

Set pitch or low frequency surge can bring the roulade of the periodic change to the volume. To set the low frequency surge or controller can bring quaver. And set the both can make the timbre bring periodic rocky purpose. We edit out the percussion timbre that adapts the musical style and character, during the editing course, the percussion timbre is decided by our musical understanding.

通过设定音高包络或低频振荡调制可产生周期性变化的颤音效果，通过设定包络、低频振荡器或控制器，可以产生音量周期性变化的震音效果，通过滤波器消除声音中的杂质，通过包络、低频振荡器或控制器的设定，使音色产生周期性晃动的哇音效果，音源在研发的过程中已经对各种鼓音色进行了设定，我们使用编辑制作出适合音乐风格和特点的打击乐音色，在编辑制作过程中，人脑对音乐的理解将最终决定打击乐的音色。

The positive periodic solution of functional differential equation with infinite delay is deeply concentrated these years, some scholars study this subject by means of Lyapunov theorem, Schauder fixed point theorem, and cone extending and compression theorem (from thesis -[5]), and they obtain the existence theorem of positive periodic solution.

近年来，无穷时滞泛函微分方程的周期解问题受到广泛关注，一些学者应用Lyapunov泛函方法，Schauder不动点方法，以及非线性泛函分析中的锥拉伸锥压缩方法(见[1]-[5])，研究了无穷时滞泛函微分方程的周期解的存在性问题。

According to this algorithm, it is shown that the bifurcated periodic solutions through Hopf bifurcations at the first critical value of delay are orbitally asymptotically stable on the center manifold and the bifurcated periodic solutions through Hopf bifurcations at other critical values of delay are unstable.

根据这一算法，发现在时滞的第一个临界值处通过Hopf分支产生的周期解在中心流形上是轨道渐近稳定的，而在其它临界值处通过Hopf分支产生的周期解在中心流形上是不稳定的。

On the basis of state space model of system dynamics, the decomposition of periodic term and trend term in the time series of both power demand and Gross Domestic Product are carried out respectively, and it is discovered that there is a strong correlativity between the periodic term...

文章基于系统动力学的状态空间模型对电力需求与国内生产总值(GrossDomesticProduct，GDP)增长率时间序列分别进行周期项与趋势项的分解，发现电力需求与GDP分解的周期项之间存在很强的相关关系；基于此关系及电力需求增长率序列数据自身的变化规律，采用计量经济模型预测了2004~2008年我国电力需求增长率，以期为当前的电力规划工作提供参考数据。

Invariant Manifold: An unstable periodic orbit in a Hamiltonian system (a general class of differential equations which includes the three body problem) have associated two families of orbits forming tubes connected to the periodic orbit.

不变流形：一个不稳定的周期轨道的哈密顿系统（一个微分方程一般类，其中包括三个体问题）有关联的两个形成连接管轨道周期轨道的家庭。

The boundedness of system is proved by the comparative theme of impulsive differential equation, and the local stability of trivial or semi-trivial positive periodic solution (prey annihilation periodic solution) is tested.

利用脉冲微分方程的比较定理，证明了系统的有界性，讨论了平凡周期解与半平凡周期解的局部稳定性，进而利用重合度理论证明了系统周期正解的存在性。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。