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  • © 1989

Oscillations and Waves

in Linear and Nonlinear Systems

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
  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. Properties of Waves with Small Amplitudes in Continuous Media

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 81-120
    5. Stability and Instability of Linear Systems with Discrete Spectra

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 121-140
    6. Stability of Distributed Systems with Continuous Spectra

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 141-169
    7. Propagation Velocity of Waves

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 171-184
    8. Energy and Momentum of Waves

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 185-194
    9. Waves with Negative Energy. Linked Waves

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 195-212
    10. Parametric Systems and Parametric Instability

      • M. I. Rabinovich, D. I. Trubetskov
      Pages 213-237
    11. 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

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

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access