An Introduction to Chaotic Dynamics

An introductory text on chaotic dynamics, discussing both continuous-time dynamical systems (systems of coupled differential equations) and discrete-time dynamical systems (iterative maps). The discussion is aimed at professionals, researchers, the general public, and librarians. Topics include bifurcations, chaos, Lyapunov exponents and techniques for their numerical estimation, Poincare cross-sections, and Hamiltonian dynamical systems. Aspects of one-dimensional iterative maps covered include explicit chaotic solutions, invariant measures, period-doubling bifurcations, complex one-dimensional iterative maps, and numerical methods as iterative maps. This is the ideal reference source for those who want to "brush up" on their knowledge of chaotic dynamics.