Hamiltonian Chaos and Fractional Dynamics

— —

George M. Zaslavsky (Department of Physics and Courant Institute of Mathematical Sciences, New York University, USA)

Hamiltonian Chaos and Fractional Dynamics

George M. Zaslavsky (Department of Physics and Courant Institute of Mathematical Sciences, New York University, USA)

$141.95

Paperback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Oxford University Press
15 April 2008

Applied mathematics; Maths for scientists; Statistical physics; Engineering: general; Maths for engineers

The 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.

By: George M. Zaslavsky (Department of Physics and Courant Institute of Mathematical Sciences New York University USA)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 157mm, Spine: 23mm
Weight: 1g
ISBN: 9780199535484
ISBN 10: 0199535485
Pages: 438
Publication Date: 15 April 2008
Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Undergraduate , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Chaotic Dynamics 1: Hamiltonian dynamics 2: Examples of Hamiltonian dynamics 3: Perturbed dynamics 4: Chaotic dynamics 5: Physical models of chaos 6: Separatrix chaos 7: Chaos and symmetry 8: Beyond the KAM-theory 9: Phase space of chaos Fractality of chaos 10: Fractals and chaos 11: Poincaré recurrences 12: Dynamical traps 13: Fractal time Kinetics 14: General principles of kinetics 15: Lévy processes and lévy flights 16: Fractional kinetic equation (FKE) 17: Renormalization group of kinetics (RGK) 18: Fractional kinetics equation solutions and modifications 19: Pseudochaos Applications 20: Complexity and entropy of dynamics 21: Complexity and entropy functions 22: Chaos and foundation of statistical mechanics 23: Chaotic advection (dynamics of tracers) 24: Advection by point vortices 25: Appendix 1 26: Appendix 2 27: Appendix 3 28: Appendix 4 29: Notes 30: Problems

Professor George M. Zaslavsky Department of Physics and Courant Institute of Mathematical Sciences New York University

Reviews for Hamiltonian Chaos and Fractional Dynamics

Zaslavsky 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. * SciTech Book News * Review from previous edition The strengths of the book lie in its broad survey of the complexity of Hamiltonian dynamics and its focus on interesting physical examples. The book has many excellent figures and illustrations as well as an extensive bibliography. Each chapter has a modest collection of associated exercises. * William Satzer, Zentralblatt Math *