Overview

This work aims to familiarize the reader with essential properties of the chaotic dynamics of Hamiltonian systems, avoiding special mathematical tools not typical for physics. It includes material on separatix chaos, small nonlinearity chaos, fractional kinetics, and discussions on Maxwell's demon and the foundation of statistical physics. The book should be of use to those who are actively working on the problem of dynamical chaos. It introduces the physicist to the world of Hamiltonian chaos and the mathematics to actual physical problems. The material can also be used by graduate students.

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9781860940521

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""George Zaslavsky develops 'fractional kinetics' in an attempt to give a smoothed, but nondiffusive, description. This phenomenological description captures some aspects of the stickiness of islands, but I believe its mathematical justification remains elusive. Perhaps that is an excellent reason to read this book."" Nature, 1999 ""The book is useful for scientists who are actively working on the problems of dynamical chaos ... The material can also be used as a textbook for a graduate course on new and emerging directions in Hamiltonian chaos theory."" Zentralblatt Math, 1999

George Zaslavsky develops 'fractional kinetics' in an attempt to give a smoothed, but nondiffusive, description. This phenomenological description captures some aspects of the stickiness of islands, but I believe its mathematical justification remains elusive. Perhaps that is an excellent reason to read this book. Nature, 1999 The book is useful for scientists who are actively working on the problems of dynamical chaos ... The material can also be used as a textbook for a graduate course on new and emerging directions in Hamiltonian chaos theory. Zentralblatt Math, 1999

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