Springer Series in Synergetics

Complex Hamiltonian Dynamics

Authors: Bountis, Tassos, Skokos, Haris

  • 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
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  • ISBN 978-3-642-27305-6
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Hardcover $109.00
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  • ISBN 978-3-642-27304-9
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  • ISBN 978-3-642-44074-8
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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)

Table of contents (9 chapters)

  • Introduction

    Bountis, Tassos (et al.)

    Pages 1-12

  • Hamiltonian Systems of Few Degrees of Freedom

    Bountis, Tassos (et al.)

    Pages 13-39

  • Local and Global Stability of Motion

    Bountis, Tassos (et al.)

    Pages 41-62

  • Normal Modes, Symmetries and Stability

    Bountis, Tassos (et al.)

    Pages 63-89

  • Efficient Indicators of Ordered and Chaotic Motion

    Bountis, Tassos (et al.)

    Pages 91-132

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-642-27305-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-642-27304-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-642-44074-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Complex Hamiltonian Dynamics
Authors
Series Title
Springer Series in Synergetics
Series Volume
10
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-27305-6
DOI
10.1007/978-3-642-27305-6
Hardcover ISBN
978-3-642-27304-9
Softcover ISBN
978-3-642-44074-8
Series ISSN
0172-7389
Edition Number
1
Number of Pages
XXIV, 256
Topics