symplectic transformation meaning in English
辛变换
Examples
- The most important property for hamiltonian systems is the poincare and liuville ' s conservation law of phase areas , i . e . , the phase flow is a one - parameter symplectic transformation
哈氏系统最重要的性质是庞加莱-刘维尔的一系列相面积的守恒律，即系统的相流是一个单参数的保辛变换。 - We get the sufficient condition for the limit method to be symplectic by use of the definition of symplectic transformation . under some reasonable assumptions , the author proves that this condition is also necessary
对此我们利用辛变换的定义得出了该方法为辛的充分条件，并在一些合理的假设下，证明此条件也是必要的。 - In the study of the lagrange stability of impact motion , we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded . outside of a large disc , using the symplectic transformation of the hamilton system to estimate the iteration of the successor map . applying the moser ' s small twist theorem , we get the invariant curves and then give the proof of the bouncing solutions which is bounded
在碰撞运动的lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。