Complex Hamiltonian Dynamics

  • Tassos Bountis
  • Haris Skokos
Part of the Springer Series in Synergetics book series (SSSYN, volume 10)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Tassos Bountis, Haris Skokos
    Pages 1-12
  3. Tassos Bountis, Haris Skokos
    Pages 13-39
  4. Tassos Bountis, Haris Skokos
    Pages 41-62
  5. Tassos Bountis, Haris Skokos
    Pages 63-89
  6. Tassos Bountis, Haris Skokos
    Pages 91-132
  7. Tassos Bountis, Haris Skokos
    Pages 133-164
  8. Tassos Bountis, Haris Skokos
    Pages 165-190
  9. Tassos Bountis, Haris Skokos
    Pages 191-220
  10. Tassos Bountis, Haris Skokos
    Pages 221-238
  11. Back Matter
    Pages 239-255

About this book

Introduction

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.

Keywords

Hamiltonian Lattices Hamiltonian Systems Hamiltonian dynamical systems Nonlinear Dynamics Quasi-Stationary States chaotic motion periodic orbits quasi-stationary states statistical mechanics transition to chaos weak chaos

Authors and affiliations

  • Tassos Bountis
    • 1
  • Haris Skokos
    • 2
  1. 1., Department of PhysicsUniversity of PatrasPatrasGreece
  2. 2.MPI for the Physics of Complex SystemsDresdenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-27305-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-27304-9
  • Online ISBN 978-3-642-27305-6
  • Series Print ISSN 0172-7389