Nonlinear Physical Science

Hamiltonian Chaos Beyond the KAM Theory

Dedicated to George M. Zaslavsky (1935—2008)

Editors: Luo, Albert, Afraimovich, Valentin (Eds.)

  • 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
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eBook $129.00
price for USA (gross)
  • ISBN 978-3-642-12718-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-642-12717-5
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
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.

Table of contents (6 chapters)

  • Stochastic and Resonant Layers in Nonlinear Hamiltonian Systems

    Luo, Albert C. J.

    Pages 1-50

  • A New Approach to the Treatment of Separatrix Chaos and Its Applications

    Soskin, S. M. (et al.)

    Pages 51-141

  • Hamiltonian Chaos and Anomalous Transport in Two Dimensional Flows

    Leoncini, Xavier

    Pages 143-192

  • Hamiltonian Chaos with a Cold Atom in an Optical Lattice

    Prants, S. V.

    Pages 193-223

  • Using Stochastic Webs to Control the Quantum Transport of Electrons in Semiconductor Superlattices

    Fromhold, T. M. (et al.)

    Pages 225-254

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-642-12718-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-642-12717-5
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
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Bibliographic Information

Bibliographic Information
Book Title
Hamiltonian Chaos Beyond the KAM Theory
Book Subtitle
Dedicated to George M. Zaslavsky (1935—2008)
Editors
  • Albert Luo
  • Valentin Afraimovich
Series Title
Nonlinear Physical Science
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Distribution Rights
Distribution rights in China: Higher Education Press
eBook ISBN
978-3-642-12718-2
DOI
10.1007/978-3-642-12718-2
Hardcover ISBN
978-3-642-12717-5
Series ISSN
1867-8440
Edition Number
1
Number of Pages
XVIII, 292
Additional Information
Jointly published with Higher Education Press
Topics