Not so Classical Mechanics - Unexpected Symmetries of Classical Motion
arXiv:physics/0511054 · doi:10.1139/p05-003
Abstract
A survey of topics of recent interest in Hamiltonian and Lagrangian dynamical systems, including accessible discussions of regularization of the central force problem; inequivalent Lagrangians and Hamiltonians; constants of central force motion; a general discussion of higher-order Lagrangians and Hamiltonians with examples from Bohmian quantum mechanics, the Korteweg-de Vries equation and the logistic equation; gauge theories of Newtonian mechanics; classical spin, Grassmann numbers, and pseudomechanics.
Einstein Centennial Review Article, 48 pages