查询词典 symplectic invariant

Recently, we defined the uniruledness of symplectic manifolds and proved that symplectic uniruledness is invariant under symplectic birational

最近，我们给出了Uniruled辛流形的定义并证明了其在辛双有理变换下的不变性，为今后进一步从事辛双有理几何的研究打下了基础。

In this paper, we investigate the persistence of lower dimensional invariant tori of symplectic mappings.

首先，我们研究了辛映射椭圆型低维不变环面。

And local coordinate representations of left invariant symplectic structure and symplectic left invariant vector field on the Symplectic-Lie group are given.

还给出了辛李群上左不变辛结构和辛左不变向量场的局部坐标表示。

Secondly, we investigate the hyperbolic lower dimensional invariant tori of symplectic mappings.

其次，我们研究了辛映射双曲型低维不变环面。

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. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

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。

Moser [14] obtained the persistence of hyperbolic invariant tori when 0 6 Rn is a fixed Diophantine toral frequency and the eigenvalues of JM (J being the standard symplectic matrix in R2m) are real and distinct.

为中的标准辛矩阵的特征根为不同的实根时，得到了双曲不变环面的保持性。

A new symplectic Lagrangian density and Faddeev-Jackiw generalized brackets of the gauge invariant self-dual fields interacting with gauge fields have been obtained and FJ quantization of this system has been presented.

用Faddeev-Jackiw方法对与规范场偶合的规范自对偶场进行了研究，获得了一个新的辛Lagrangian密度，导出了此系统的FJ广义括号，并对其进行了FJ量子化。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。