查询词典 nonlinear oscillations

This project mainly dealt with the existence and multiplicity of periodic solutions and the boundedness of solutions of nonlinear oscillations.

本项目主要研究非线性振动中周期解的存在性、多解性及解的有界性、无界性。

In the last 20 years, many mathematicians used Moser Twist Theorem to study more complicated dynamics for nonlinear oscillations, such as the existence of quasi-periodic solutions and invariant tori, the Lagrange stability, etc.

近20年来，国内和国际上的一些数学家开始利用Moser的扭转定理来研究非线性振动的更为复杂的行为，如拟周期解和不变环面的存在性，解的Lagrange稳定性。

Duffing equations and Liénard equations are two classical mathematical models in nonlinear oscillations, and have been studied ex...

Duffing方程和Liénard方程是非线性振动中的两类经典的方程，也是人们研究的最多、结果非常丰富的方程。

Now nonlinear dynamical systems with parametric excitation are one of the most important systems in the theory of nonlinear oscillations.

在非线性振动理论中目前最具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、混沌特性等。

Some topics for future research, such as nonlinear dynamical behavior of moving strings, vibration of moving viscoelastic strings, control of hybrid systems containing moving strings and control of nonlinear oscillations of moving strings, are suggested.

最后指出该研究方向今后需要研究的若干重要问题，包括运动弦线的非线性动力学行为、黏弹性运动弦线的振动、含运动弦线的混杂系统的控制和轴向运动弦线非线性振动的控制。

The ALE(Arbitrary Lagrange-Euler)boundary element method is used for dealing with nonlinear sloshing problem(nonlinear oscillations of a liquid in a container subjected to forced oscillation).

摘 要 利用ALE(任意的Lagrange-Euler)边界元方法数值求解了具有自由液面的非线性晃动问题，即受外力激励下流体的非线性振动问题。

Here are three core contents of such framework:(1) cognitive process is reflected by the temporal, frequency, and spatial evolutions of EEG signals;(2) cognitive process is reflected by different nonlinear oscillations and transients of EEG signals;(3) cognitive process is reflected by the linear/nonlinear coupling and synchronization of EEG signals at different brain regions.

本文的一个理论创新在于首次提出认知动力学系统这一新概念，使得对认知功能的研究建立在一个理论框架下，其核心内容包括三方面：(1)认知过程通过EEG脑电活动在时间，频率，空间上的动态演化体现出来；(2)认知过程通过EEG脑电活动的非线性振动与各种刺激诱发的暂态体现出来；(3)认知过程通过EEG脑电活动在各脑区的相互耦合与同步谐振体现出来。

Central-force Motion, Dynamics of a System of Particles, Dynamics of Rigid Body, Coupled Oscillations, Nonlinear Oscillations, Motion in a Noninertial Reference Frame, Continuous Systems.

力学 (0，3)/应用力学（0，3）中心力下的运动、多粒子系统动力学、刚体动力学、耦合振动、非线性振动、非惯性参考座标系中的运动、连续系统。

Matrices, Vector and Vector Calculus, Newtonian Mechanics-single Particle, Oscillations, Nonlinear Oscillations and Chaos, Gravitation, Some Methods in the Calculus of Variations, Hamilton's Principles Lagrangian and Hamiltonian Dynamics, Central-Force Motion, Dynamics of a System of Particles, Motion in a Noninertia Reference Frame, Dynamics of Rigid Body.

矩阵和向量的计算、单一质点的牛顿力学、线性与非线性的振动运动、重力、微积分上的变分法介绍、哈密顿原理、拉氏及哈氏力学、连心力下的运动、质点系的运动力学、在非惯性坐标中的运动、刚体的运动。

The joint effect of active and reactive power on the voltage stability of a typical power system was considered by analysing the two parameter bifurcation problem related to nonlinear oscillation phenomena. Numerically, as the active power P1 increases, the Hopf points get closer and eventually coincide at P1=1.455 43 the cyclic fold curve gets closer and closer to the Hopf curve and finally intersects the Hopf curve at a singular point the period-doubling points also get closer and finally coincide at P1≈0.65. The stability behaviour is pre-determined using the normal form approach near the limit point of the Hopf curve. Hence, in the power system attention should be paid to both the consumption of active power and the decrease in the reactive power to prevent nonlinear oscillations. A controller can be designed to absorb some active power and to avoid the nonlinear oscillations that damage the system components.

针对一个典型的单机无穷大电力系统，通过分析系统的双参数分岔的非线性振荡现象，综合考虑有功和无功功率对电压稳定性的影响数值分析表明，随着有功功率的增加，电力系统的Hopf点越来越靠近，最终合为一点在P1=1.455 43处同时圈折cyclic fold 曲线也越来越靠近Hopf曲线，并在Hopf曲线的稳定与不稳定临界点处与Hopf曲线相交倍周期分岔点也随着越来越靠近，最终在P1≈0.65 合为一点应用正规形理论方法，初步确定了Hopf曲线极限点附近的稳定性态因而，电力系统应注意让负荷利用有功功率，减少无功功率的产生以防止非线性振荡另外，可以设计一个稍微吸收网络的有功功率的控制器，以避免因周期振荡而造成电力系统仪器的损坏或电压崩溃

The reasons of iron ions content overproof in grade Ⅱ desalting water system,such as variation water quality,contamination of regenerant , operation adjustment of pretreatment system and switching operation of bed were discussed.

对二级脱盐水系统中铁离子含量超标的原因，如来水水质发生波动、再生剂受到污染、预处理系统操作调整、床体运行切换等进行了论述。

You were hired to drum up new business, so go and do it.

公司雇你招徕新业务，你就做你的事好了。