论文标题
爱丽丝和福柯摆：动作角度变量的土地
Alice and the Foucault Pendulum: the land of action-angle variables
论文作者
论文摘要
由于牛顿的开创性作品$（1643-1727）$，机械师一直在不断地重塑自身：尤其是由Lagrange $（1736-1813）$重新制定的，然后是汉密尔顿$（1805-1865）$，现在它可以通过探索最复杂的动态系统，可以通过动作转换来探索强大的概念和数学工具，从而可以通过动作的转换来探索形式的变化。我们通过Foucault's Pendulum的著名示例为读者概述了这些不同的配方，这是Foucault $（1819-1868）$创建的设备，并于1851年首次安装在Panthéon（Panthéon）（法国），以显示地球的旋转。福柯摆的明显简单性确实是对古典力学最现代影响的开放之门。我们强调的是，动作角度变量形式主义并不是要了解福柯的钟摆。后者仅将其视为众所周知的简单动力系统，用于体现为了理解更复杂的动态系统至关重要的现代概念。安装在圣武鲁大学（比利时蒙斯）的大学教堂中安装的福柯摆，将使我们能够从数值上估计引入的不同数量。从“爱丽丝的冒险之旅”中免费改编摘录将为读者提供一些诗意的呼吸。
Since the pioneering works of Newton $(1643-1727)$, Mechanics has been constantly reinventing itself: reformulated in particular by Lagrange $(1736-1813)$ then Hamilton $(1805-1865)$, it now offers powerful conceptual and mathematical tools for the exploration of the most complex dynamical systems, essentially via the action-angle variables formulation and more generally through the theory of canonical transformations. We give the reader an overview of these different formulations through the well-known example of Foucault's pendulum, a device created by Foucault $(1819-1868)$ and first installed in the Panthéon (Paris, France) in 1851 to display the Earth's rotation. The apparent simplicity of the Foucault pendulum is indeed an open door to the most contemporary ramifications of Classical Mechanics. We stress that the action-angle variable formalism is not necessary to understand Foucault's pendulum. The latter is simply taken as well-known simple dynamical system used to exemplify modern concepts that are crucial in order to understand more complicated dynamical systems. The Foucault pendulum installed in the collegiate church of Sainte-Waudru (Mons, Belgium) will allow us to numerically estimate the different quantities introduced. A free adaptation of excerpts from "Alice's Adventures in Wonderland" will offer the reader some poetic breaths.
