Hamiltonian Chaos and Fractional Dynamics

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ID: 306727
2004
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Abstract
Abstract 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.
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openalex_W4388391905 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors George M. Zaslavsky
Journal Oxford University Press eBooks
Year 2004
DOI
10.1093/oso/9780198526049.001.0001
URL
https://doi.org/10.1093/oso/9780198526049.001.0001
Keywords Keywords not found

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