symplectic transformation 中文意思是什麼
symplectic transformation
解釋
辛變換- symplectic : 偶對的
- transformation : n 轉變，變化；變形；【生物學】（尤指昆蟲的）轉化，變態，改造，改革；變質；【數學】變換；【電學】...
-
This paper is to study harmonic maps into symplectic groups and local isometric immersions into space forms by means of the soliton theory. by realizing an action of the rational loop group on the spaces of corrsponding solutions, we get the backlund transformation and the darboux transformation, and thereby we give the explicit construction for harmonic maps into symplectic groups and local isometric immersions into space forms via purely algebraic algorithm
主要用孤立子理論研究到辛群的調和映射和到空間形式的局部等距浸入，通過有理loop群在其解空間上的dressing作用，給出b icklund變換和darboux變換的顯式表示，從而獲得到辛群及其對稱空間的調和映射和到空間形式的局部等距浸入的純代數構造方法。 -
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恆律，即系統的相流是一個單參數的保辛變換。 -
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採用直接估計后繼映射的方法給出。 -
The symplectic uniton and symplectic extended uniton are introduced. the method of the symplectic backlund transformation and the darboux transformation is used to construct new symplectic uniton from a known one
引進了辛uniton的概念，通過b icklund變換和darboux變換，給出了由已知辛uniton構造新的辛uniton的純代數方法。 -
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，並在一些合理的假設下，證明此條件也是必要的。
分享友人