mathieu equation meaning in English
马蒂厄方程
马其诺方程
马提厄方程
Examples
- Chaos controlling for a kind of mathieu equation
方程的混沌控制 - Chaos controls on mathieu equations
方程的混沌控制 - Mathieu equation and dynamic stabilities for cyclotron with 4 - folded symmetry
度对称径向扇回旋加速器的动力学稳定性 - We consider a neutral particle with magnetic moment antiparallel to the field . with the interaction potential energy between the magnetic moment of the particle and the magnetic field , we obtain the classical motion equation of the neutral particles in the loffe trap . in some limit conditions , by using the perturbative method , the equations may take on concise forms . of which the two equations about x and y are mathieu equations . if we properly set the parameters and have the condition a > > q > 0 , we can solve the mathieu equation with the traditional wkbj method . as a new attemptation , with fourier series expansion we solve the mathieu equation and obtain the classical motion law of the neutral particles
若阱的参数设置使得条件> > q 0成立时，我们可以利用传统的wkbj方法近似求解马丢方程。作为一种新的尝试，本文还采用傅立叶级数展开的办法来对马丢方程进行求解，从而得到中性粒子在阱中的经典运动规律。在研究ioffe阱对中性粒子的囚禁问题时，实际上我们更感兴趣的是马丢方程的周期解，而要想获得这种周期解，和q必须满足一定的关系，亦即必须选择阱的特定的参数和粒子的特定初始条件，对这一问题我们进行了尝试性的研究。