Hamiltonian chaos and fractional dynamics
著者
書誌事項
Hamiltonian chaos and fractional dynamics
Oxford University Press, 2008, c2005
- : pbk
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注記
"First published 2005. First published in paperback 2008" -- T.p. verso
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- CHAOTIC DYNAMICS
- FRACTALITY OF CHAOS
- KINETICS
- APPLICATIONS
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