Overview
- Explains a theory on resonant mechanism of Hamiltonian chaos in stochastic layers and webs
- Develops newest methods and ideas on Hamiltonian chaos in nonlinear Hamiltonian systems
- Direct applies Hamiltonian chaos to quantum dynamics and ray dynamics
- Predicts Hamiltonian chaos beyond the KAM theory
Part of the book series: Nonlinear Physical Science (NPS)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
Keywords
About this book
“Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.
Editors and Affiliations
Bibliographic Information
Book Title: Hamiltonian Chaos Beyond the KAM Theory
Book Subtitle: Dedicated to George M. Zaslavsky (1935—2008)
Editors: Albert C. J. Luo, Valentin Afraimovich
Series Title: Nonlinear Physical Science
DOI: https://doi.org/10.1007/978-3-642-12718-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Hardcover ISBN: 978-3-642-12717-5Published: 04 January 2011
eBook ISBN: 978-3-642-12718-2Published: 04 January 2011
Series ISSN: 1867-8440
Series E-ISSN: 1867-8459
Edition Number: 1
Number of Pages: XVIII, 292
Additional Information: Jointly published with Higher Education Press
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Systems Theory, Control, Vibration, Dynamical Systems, Control