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Nonlinear Waves

Dynamics and Evolution

  • Book
  • © 1989

Overview

Editors:
  1. Andrei V. Gaponov-Grekhov

    1. Institute of Applied Physics, Gorky, USSR

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  2. Mikhail I. Rabinovich

    1. Institute of Applied Physics, Gorky, USSR

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  3. Jüri Engelbrecht

    1. Institute of Cybernetics, Estonian SSR Academy of Sciences, Tallinn, USSR

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Part of the book series: Research Reports in Physics (RESREPORTS)

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XII
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  2. Dynamic Chaos

    1. Front Matter

      Pages 1-1
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    2. Dimensions and Entropies in Multidimensional Systems

      • V. S. Afraimovich, A. M. Reiman
      Pages 2-28

    3. Measurement Methods for Correlation Dimensions

      • I. S. Aranson, A. M. Reiman, V. G. Shekhov
      Pages 29-33

    4. Quantum Localization of Dynamic Chaos

      • D. L. Shepelyansky
      Pages 34-43

    5. Randomness and Predictability in Dynamic Chaos

      • Yu. A. Kravtsov
      Pages 44-56

    6. Stochastic Vibrational Dynamics of Polyatomic Molecules

      • V. S. Letokhov, A. A. Makarov, E. A. Ryabov
      Pages 57-68

  4. Applications of Nonlinear Dynamics

    1. Front Matter

      Pages 117-117
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    2. Nonlinear Phenomena in Condensed Matter: Universe in a Helium Droplet

      • G. E. Volovik
      Pages 118-127

    3. Nonlinear Theory of Sea Wave Run-Up

      • E. N. Pelinovsky
      Pages 128-135

    4. Superradiance: the Approach of Electrodynamics of Continuous Active Media

      • V. V. Zheleznyakov, Vl. V. Kocharovsky, Vl. V. Kocharovsky
      Pages 136-155

    5. The Origin and Evolutionary Dynamics of Uranian Rings

      • A. M. Fridman, N. N. Gor’kavyj
      Pages 156-171

  5. Back Matter

    Pages 173-178
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Keywords

About this book

Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at the last School were invited to provide English reviews and research papers for these two volumes (which in the years to come will be followed by the proceedings of forthcoming schools). The second volume deals with dynamical chaos in classical and quantum systems, with evolution in chemical systems and self-organisation in biology, and with applications of nonlinear dynamics to condensed matter, sea waves, and astrophysics.

Editors and Affiliations

  • Institute of Applied Physics, Gorky, USSR

    Andrei V. Gaponov-Grekhov, Mikhail I. Rabinovich

  • Institute of Cybernetics, Estonian SSR Academy of Sciences, Tallinn, USSR

    Jüri Engelbrecht

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