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The Physics of Phase Space

Nonlinear Dynamics and Chaos, Geometric Quantization,and Wigner Function

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Y. S. Kim
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  2. W. W. Zachary
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Part of the book series: Lecture Notes in Physics (LNP, volume 278)

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Table of contents (102 papers)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. Entropy and volume as measures of orbit complexity

    • Sheldon E. Newhouse
    Pages 1-8

  3. A chaotic 1-D gas: Some implications

    • O. E. Rossler
    Pages 9-11

  4. Singular approximation of chaotic slow-fast dynamical systems

    • B. Rossetto
    Pages 12-14

  5. Dimension calculations in a minimal embedding space: Low-dimensional attractors for human electroencephalograms

    • A. M. Albano, L. Smilowitz, P. E. Rapp, G. C. de Guzman, T. R. Bashore
    Pages 15-17

  6. Chaotic space-times

    • John D. Barrow
    Pages 18-21

  7. On relaxation chaos : An example from celestial mechanics

    • J. Koiller, J. M. Balthazar, T. Yokoyama
    Pages 22-24

  8. Computation of invariant tori and acceleration of the K.A.M. algorithm

    • R. L. Warnock, R. D. Ruth
    Pages 25-27

  9. Fractal basin boundaries

    • Celso Grebogi, Edward Ott, James A. Yorke
    Pages 28-32

  10. Quasi-periodic Schrödinger equations and strange nonchaotic attractors of pendula and Josephson junctions

    • F. J. Romeiras
    Pages 33-35

  11. Long-time correlation in classical Hamiltonian systems with two degrees of freedom

    • Haruyuki Irie, Tadatsugu Hatori
    Pages 36-38

  12. Dimension density — an intensive measure of chaos, in spatially extended turbulent systems

    • Thomas Kurz, Gottfried Mayer-Kress
    Pages 39-41

  13. Properties of the maximal attractor for the Landau-Lifschitz equations

    • Tepper L. Gill, W. W. Zachary
    Pages 42-44

  14. A comparison of the fractal dimensions of cloud radiance graphs for two infrared color bands

    • Charles Adler, Patricia H. Carter, Robert Cawley
    Pages 45-50

  15. The genealogy of periodic trajectories

    • M. A. M. de Aguiar, C. P. Malta, E. J. V. de Passos, M. Baranger, K. T. R. Davies
    Pages 51-53

  16. Perturbation theory and the single sextupole

    • Leo Michelotti
    Pages 54-56

  17. Stochastic instability in a system with two degrees of freedom

    • K. Hizanidis, C. Menyuk
    Pages 57-59

  18. Nonlinear stability in anisotropic magnetohydrodynamics

    • John M. Finn, Guo-Zheng Sun
    Pages 60-62

  19. On resonant Hamiltonians with n frequencies

    • Martin Kummer
    Pages 63-65

  20. Singular perturbation and almost periodic solutions of nonlinear dynamic systems

    • Huang Yuanshi
    Pages 66-68
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Keywords

About this book

The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics. This is particularly the case in areas such as nonlinear dynamics and chaos, geometric quantization and the study of the various semi-classical theories, which are the setting of the present volume. Much of the content is devoted to the study of the Wigner distribution. This volume gives the first complete survey of the progress made by both mathematicians and physicists. It will serve as an excellent reference for further research.

Bibliographic Information

  • Book Title: The Physics of Phase Space

  • Book Subtitle: Nonlinear Dynamics and Chaos, Geometric Quantization,and Wigner Function

  • Editors: Y. S. Kim, W. W. Zachary

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/3-540-17894-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-662-13653-9Published: 23 August 2014

  • eBook ISBN: 978-3-540-47901-7Published: 13 September 2005

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: IX, 452

  • Number of Illustrations: 43 b/w illustrations

  • Topics: Thermodynamics, Complex Systems, Statistical Physics and Dynamical Systems

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