Poisson action

These notes are my own summary of Chapter 1.3 of Notes on Dynamical Systems by Moser and Zehnder Hamiltonian Systems In this section we consider Hamiltonian systems on the phase space $\mathbb{R}^{2n}$.

These notes are my own summary of Chapter 1.5 of Notes on Dynamical Systems by Moser and Zehnder Canonical Transformations Indexed by a Group By now we’ve established that canonical transformations are those change-of-coordinates on $\mathbb{R}^{2n}$ that preserve the Hamiltonian nature of a dynamical system.