Skip to main content
Springer Nature Link
Log in

Hamiltonian Chaos Beyond the KAM Theory

Dedicated to George M. Zaslavsky (1935—2008)

  • Book
  • © 2010

Overview

Editors:
  1. Albert C. J. Luo

    1. Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Valentin Afraimovich

    1. IICO-UASLP, San Luis Potosi SLP, Mexico

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

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.

Similar content being viewed by others

Keywords

Table of contents (6 chapters)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. Stochastic and Resonant Layers in Nonlinear Hamiltonian Systems

    • Albert C. J. Luo
    Pages 1-50

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

    • S. M. Soskin, R. Mannella, O. M. Yevtushenko, I. A. Khovanov, P. V. E. McClintock
    Pages 51-141

  4. Hamiltonian Chaos and Anomalous Transport in Two Dimensional Flows

    • Xavier Leoncini
    Pages 143-192

  5. Hamiltonian Chaos with a Cold Atom in an Optical Lattice

    • S. V. Prants
    Pages 193-223

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

    • T. M. Fromhold, A. A. Krokhin, S. Bujkiewicz, P. B. Wilkinson, D. Fowler, A. Patanè et al.
    Pages 225-254

  7. Chaos in Ocean Acoustic Waveguide

    • A. L. Virovlyansky
    Pages 255-296

  8. Back Matter

    Pages 297-297
    Download chapter PDF
Back to top

Editors and Affiliations

  • Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, USA

    Albert C. J. Luo

  • IICO-UASLP, San Luis Potosi SLP, Mexico

    Valentin Afraimovich

Bibliographic Information

Publish with us

Policies and ethics

Back to top