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。
参考来源 - Hamilton系统的数值迭代方法理论·2,447,543篇论文数据，部分数据来源于NoteExpress
In this paper by using the symplectic transformation condition, some new formulas including Chebyshev Polynomial, trigonometric identity, hyperbolic identity were obtained.
利用辛变换条件得到了一些新的切比雪夫多项式公式、三角恒等式和双曲恒等式。
Based on the dual variables, the Hamiltonian system theory is introduced into plane orthotropy elasticity, the transformation from Euclidian space to symplectic space is realized.
通过引入对偶变量，将平面正交各向异性问题导入哈密顿体系，实现从欧几里德几何空间向辛几何空间的转换。
The symplectic conservative perturbation for a transfer symplectic matrix should be based on the canonical transformation method.
辛矩阵只能在乘法群下保辛，故传递辛矩阵的保辛摄动必须采用正则变换的乘法。
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