Hamiltonian Chaos and Fractional Dynamics
George M. Zaslavsky
Oxford University Press
Zaslavsky (physics and mathematics, New York U.) examines the new and realistic image of the origins of dynamic chaos and randomness by considering the Hamiltonian theory of chaos and such applications as the cooling of particles and signals, the control and erasing of chaos, polynomial complexity and Maxwell's Demon. He begins by describing topics in chaotic dynamics and then moves to fractality, chaotic kinetics, fractional kinetic equations, the renormalization groups of kinetics, fractal kinetic equations, solutions and modifications, and pseudochaos. Zaslavsky's applications include complexity and entropy functions, statistical mechanics (including Maxwells' Demon) and advection.