Overview
- Introductory, self-contained and pedagogical presentation
- Covers recent topics, e.g. one-dimensional Hamiltonian lattices, high degree-of-freedom Hamiltonian systems
- Unique balance between mathematical rigor, physical insights and concrete applications
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Series in Synergetics (SSSYN, volume 10)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (9 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena and distinguish order from strongly and weakly chaotic regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored in particular in the concrete setting of one-dimensional Hamiltonian lattices and physical applications in condensed matter systems.
The self-contained and pedagogical approach is blended with a unique balance between mathematical rigor, physics insights and concrete applications. End of chapter exercises and (more demanding) research oriented problems provide many opportunities to deepen the reader’s insights into specific aspects of the subject matter.
Addressing a broad audience of graduate students, theoretical physicists and applied mathematicians, this text combines the benefits of a reference work with those of a self-study guide for newcomers to the field.
Reviews
From the reviews:
“The monograph is devoted to some recent developments in Hamiltonian dynamical systems, focusing on the transitional regimes between regular and chaotic motion. … The exposition is very well motivated and brings together many topics from different fields. … The book will be useful for researchers in this area and potentially as a supplementary reading for an advanced graduate Physics course.” (Nikola P. Petrov, Mathematical Reviews, March, 2014)Authors and Affiliations
Bibliographic Information
Book Title: Complex Hamiltonian Dynamics
Authors: Tassos Bountis, Haris Skokos
Series Title: Springer Series in Synergetics
DOI: https://doi.org/10.1007/978-3-642-27305-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
Hardcover ISBN: 978-3-642-27304-9Published: 04 May 2012
Softcover ISBN: 978-3-642-44074-8Published: 09 May 2014
eBook ISBN: 978-3-642-27305-6Published: 03 April 2012
Series ISSN: 0172-7389
Series E-ISSN: 2198-333X
Edition Number: 1
Number of Pages: XXIV, 256
Topics: Complex Systems, Complexity, Information and Communication, Circuits, Mathematical Methods in Physics, Classical Mechanics, Statistical Physics and Dynamical Systems