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Hamiltonian Chaos and Fractional Dynamics

Hamiltonian Chaos and Fractional Dynamics

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Product Details
Author:
George M. Zaslavsky
Publisher:
OUP Oxford
Publication Date:
Feb 24, 2005
Number of pages:
436 pages
Binding:
Hardback or Cased Book
ISBN-10:
0198526040
ISBN-13:
9780198526049

Overview

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 the 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.


  • | Author: George M. Zaslavsky
  • | Publisher: OUP Oxford
  • | Publication Date: Feb 24, 2005
  • | Number of Pages: 436 pages
  • | Binding: Hardback or Cased Book
  • | ISBN-10: 0198526040
  • | ISBN-13: 9780198526049

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