Excerpt: The specific examples of chaotic systems discussed in the main text- the logistic map, the damped, driven pendulum, and the Lorenz equations- are all dissipative. It is important to recognize that nondissipative Hamiltonian systems can also exhibit chaos; indeed, Poincare made his prescient statement concerning sensitive dependence on initial conditions in the context of the few-body Hamiltonian problems he was studying. Here we examine briefly the many subtleti...