Action-angle Variables for Generic 1D Mechanical Systems

Luca Biasco, Luigi Chierchia

We consider a 1D mechanical system $$\bar{\mathtt{H}}(\mathtt{P},\mathtt{Q})={\mathtt{P}}^2+\bar{\mathtt{G}}(\mathtt{Q})$$ in action-angle variable $(\mathtt{P},\mathtt{Q})$ where $\bar {\…