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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Editorial Reviews
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"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
About the Author
George M. Zaslavksy is Professor of Physics and Mathematics at New York University, USA.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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flight complexity function, accelerator mode islands, separatrix map, perturbed pendulum model, stochastic web, fractional kinetic equation, dynamical traps, stochastic layer, phase space topology, sticky domains, stochastic sea, exit time distribution, singular zone, advected particles, renormalization transform, transport exponent, conflict with dynamics, fractional kinetics, web skeleton, irrational trajectories, sticky set, fractal time, homoclinic structure, generalized fractal dimension, recurrences distribution Key Phrases - Capitalized Phrases (CAPs): (learn more)
Notes Note, Problems More, Maxwell's Demon, Web Map Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
flight complexity function, accelerator mode islands, separatrix map, perturbed pendulum model, stochastic web, fractional kinetic equation, dynamical traps, stochastic layer, phase space topology, sticky domains, stochastic sea, exit time distribution, singular zone, advected particles, renormalization transform, transport exponent, conflict with dynamics, fractional kinetics, web skeleton, irrational trajectories, sticky set, fractal time, homoclinic structure, generalized fractal dimension, recurrences distribution Key Phrases - Capitalized Phrases (CAPs): (learn more)
Notes Note, Problems More, Maxwell's Demon, Web Map Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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