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Hamiltonian Chaos and Fractional Dynamics (Hardcover)
Loot Price: R5,037
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Hamiltonian Chaos and Fractional Dynamics (Hardcover)
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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.
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