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.
Rezensionen / Stimmen
"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
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Editions-Typ
Illustrationen
Illustrations (some col.)
Maße
ISBN-13
978-1-86094-052-1 (9781860940521)
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Schweitzer Klassifikation
Introduction to chaotic systems; Hamiltonian dynamics; discrete maps - new type of dynamical equations; chaos and maps; separatix chaos; nonlinearity vs. pertubation; chaotic kinetics; fractals and chaos; renormalization and chaos; fractional kinetics; Maxwell's demon (MD) and chaotic dynamics; chaos, symmetry and percolation; numerical simulation and chaos; chaos of field lines and Lagranian chaos; general remarks; problems.
