Classical Floquet theory describes motion near a periodic orbit. But comparing Floquet theory to action angle methods shows which Jordan form is desirable. A new eigenvector algorithm is developed ensuring a canonical transform and handling the typical for the case of repeated eigenvalues, a chronic problem in conservative Hamiltonian systems. This solution also extends the Floquet decomposition to adjacent trajectories, and is fully canonical. This method yields the matrix of frequency partial derivatives, extending the solution’s validity. Some numerical examples are offered.

中文翻译：

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常规浮球理论II：保守周期轨道附近的作用角变量

经典浮球理论描述了周期轨道附近的运动。但是将Floquet理论与作用角方法进行比较表明，哪种Jordan形式是理想的。开发了一种新的特征向量算法，可确保规范变换并处理典型特征值重复的情况，这是保守汉密尔顿系统中的一个长期问题。该解决方案还将Floquet分解扩展到相邻的轨迹，并且是完全规范的。该方法产生了频率偏导数的矩阵，扩展了解的有效性。提供了一些数值示例。