Generic Hamiltonian Dynamical Systems are Neither Integrable nor Ergodic
Jan 1974 · American Mathematical Society: Memoirs of the American Mathematical Society Book 144 · American Mathematical Soc.
Ebook
52
Pages
About this ebook
This memoir gives an introduction to Hamiltonian dynamical systems on symplectic manifolds, including definitions of Hamiltonian vector fields, Poisson brackets, integrals of motion, complete integrability, and ergodicity. A particularly complete treatment of action-angle coordinates is given. Historical background into the question of ergodicity and integrability in Hamiltonian systems is also given.
This memoir gives an introduction to Hamiltonian dynamical systems on symplectic manifolds, including definitions of Hamiltonian vector fields, Poisson brackets, integrals of motion, complete integrability, and ergodicity. A particularly complete treatment of action-angle coordinates is given. Hi...
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