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Oscillations and Waves

in Linear and Nonlinear Systems

  • Book
  • © 1989

Overview

Authors:
  1. M. I. Rabinovich

    1. Institute of Applied Physics, Academy of Sciences of the USSR, Gorky, USSR

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    You can also search for this author in PubMed   Google Scholar

  2. D. I. Trubetskov

    1. Saratov State University, USSR

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and its Applications (MASS, volume 50)

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Oscillations and Waves in Linear Systems

    1. Linear Oscillators

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 1-22

    2. Oscillations in a System with Two Linked Oscillators

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 23-37

    3. Oscillations in an Ensemble of Noninteracting Oscillators

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 39-47

    4. Oscillations in Ordered Structures. Limit for a Continuous Medium Waves. Dispersion

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 49-79

    5. Properties of Waves with Small Amplitudes in Continuous Media

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 81-120

    6. Stability and Instability of Linear Systems with Discrete Spectra

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 121-140

    7. Stability of Distributed Systems with Continuous Spectra

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 141-169

    8. Propagation Velocity of Waves

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 171-184

    9. Energy and Momentum of Waves

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 185-194

    10. Waves with Negative Energy. Linked Waves

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 195-212

    11. Parametric Systems and Parametric Instability

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 213-237

    12. Adiabatic Invariants. Propagation of Waves in Inhomogeneous Media

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 239-272

  3. Oscillations and Waves in Nonlinear Systems

    1. The Nonlinear Oscillator

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 273-297

    2. Periodic Self-Excited Oscillations

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 299-308

    3. General Properties of Nonlinear Dynamic Systems in Phase Space

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 309-328

    4. Self-Excited Oscillations in Multifrequency Systems

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 329-352

    5. Resonance Interactions between Oscillators

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 353-374

    6. Simple Waves and the Formation of Discontinuities

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 375-394

    7. Stationary Shock Waves and Solitons

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 395-415
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Keywords

Authors and Affiliations

  • Institute of Applied Physics, Academy of Sciences of the USSR, Gorky, USSR

    M. I. Rabinovich

  • Saratov State University, USSR

    D. I. Trubetskov

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