Hamiltonian Chaos and Fractional Dynamics
By (author) George M. Zaslavsky
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Hamiltonian Chaos and Fractional Dynamics by George M. Zaslavsky
Book DescriptionThe dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology. The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic and non-well-mixing Hamiltonian dynamics. The book does not follow the traditional scheme of most of today's literature on chaos. The intention of the author has been to put together some of the most complex and yet open problems on the general theory of chaotic systems. The importance of the discussed issues and an understanding of their origin should inspire students and researchers to touch upon some of the deepest aspects of nonlinear dynamics. The book considers the basic principles of the Hamiltonian theory of chaos and some applications including for example, the cooling of particles and signals, control and erasing of chaos, polynomial complexity, Maxwell's Demon, and others. It presents a new and realistic image of the origin of dynamical chaos and randomness. An understanding of the origin of randomness in dynamical systems, which cannot be of the same origin as chaos, provides new insights in the diverse fields of physics, biology, chemistry, and engineering.
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Book DetailsISBN: 9780199535484
(234mm x 157mm x 22mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 11-Sep-2008
Country of Publication: United Kingdom
Books By Author George M. Zaslavsky
Synchronized Dynamics of Complex Systems, Hardback (February 2008)
Summarizes the discoveries involving the study of synchronization in coupled chaotic systems. This book describes the complete synchronization phenomenon, both for low and for high dimensional situations, and illustrates possible applications in the field of communicating with chaos. It provides an overview on synchronization phenomena.
Stochastic Dynamics and Control, Hardback (August 2006)
Based on many years of author's research and teaching on random vibration and control, this book provides a review of theory of probability, stochastic processes, and stochastic calculus. It presents random vibration analyses of SDOF, MDOF and continuous structural systems and research results on fatigue analysis of non-Gaussian stress processes.
Singularity and Dynamics on Discontinuous Vector Fields, Hardback (July 2006)
Discusses fundamental problems in dynamics, which exist in engineering, natural and social sciences. This illustrated book presents a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially.
Hamiltonian Chaos and Fractional Dynamics, Hardback (December 2004)» View all books by George M. Zaslavsky
This books gives a realistic contemporary image of Hamiltonian dynamics, dealing with the basic principles of the Hamiltonian theory of chaos in addition to very recent and unusual applications of nonlinear dynamics and the fractality of dynamics.
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Author Biography - George M. Zaslavsky
Professor George M. Zaslavsky Department of Physics and Courant Institute of Mathematical Sciences New York University
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