symplectic transformation中文

辛變換

• transformation:    n. 轉變，變化；變形；【生物學】(尤指昆蟲的)轉化，變 ...

例句與用法

1. 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
   哈氏系統最重要的性質是龐加萊-劉維爾的一系列相面積的守恒律，即系統的相流是一個單參數的保辛變換。
2. 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
   對此我們利用辛變換的定義得出了該方法為辛的充分條件，并在一些合理的假設下，證明此條件也是必要的。
3. 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
   在碰撞運動的lagrange穩定性的討論中，給出了漸近線性方程碰撞解有界或無界的條件，在充分大的圓盤外，通過hamilton系統的辛坐標變換的角度平均來估計后繼映射的迭代，應用moser小扭轉定理得到不變曲線從而給出在一定條件下碰撞解有界的證明，碰撞解無界性的證明將采用直接估計后繼映射的方法給出。