This book aims to familiarize the reader with the essential properties of the chaotic dynamics of Hamiltonian systems avoiding special mathematical tools not typical for physics. It includes material on separatrix chaos, small nonlinearity chaos, fractional kinetics, and discussions on Maxwell's demon and the foundation of statistical physics. The book should be suiteable for all those who are actively working on the problems of dynamical chaos. It introduces the physicist to the world of Hamiltonian chaos and the mathematician to actual physical problems. The material can also be used by graduate students.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
ISBN-13
978-981-02-3104-0 (9789810231040)
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Schweitzer Klassifikation
Autor*in
New York University and Courant Institute of Mathematical Science, USA
Introduction to chaotic dynamics; Hamiltonian dynamics; discrete maps - new type of dynamical equations; chaos and maps; separatrix chaos; nonlinearity versus perturbation; 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 Lagrangian chaos; general remarks; problems.
