Ebook: Oscillations and Waves: in Linear and Nonlinear Systems

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Content:
Front Matter....Pages i-xx
Linear Oscillators....Pages 1-22
Oscillations in a System with Two Linked Oscillators....Pages 23-37
Oscillations in an Ensemble of Noninteracting Oscillators....Pages 39-47
Oscillations in Ordered Structures. Limit for a Continuous Medium Waves. Dispersion....Pages 49-79
Properties of Waves with Small Amplitudes in Continuous Media....Pages 81-120
Stability and Instability of Linear Systems with Discrete Spectra....Pages 121-140
Stability of Distributed Systems with Continuous Spectra....Pages 141-169
Propagation Velocity of Waves....Pages 171-184
Energy and Momentum of Waves....Pages 185-194
Waves with Negative Energy. Linked Waves....Pages 195-212
Parametric Systems and Parametric Instability....Pages 213-237
Adiabatic Invariants. Propagation of Waves in Inhomogeneous Media....Pages 239-272
The Nonlinear Oscillator....Pages 273-297
Periodic Self-Excited Oscillations....Pages 299-308
General Properties of Nonlinear Dynamic Systems in Phase Space....Pages 309-328
Self-Excited Oscillations in Multifrequency Systems....Pages 329-352
Resonance Interactions between Oscillators....Pages 353-374
Simple Waves and the Formation of Discontinuities....Pages 375-394
Stationary Shock Waves and Solitons....Pages 395-415
Modulated Waves in Nonlinear Media....Pages 417-443
Self-Excited Oscillations in Distributed Systems....Pages 445-463
Stochastic Dynamics in Simple Systems....Pages 465-501
The Onset of Turbulence....Pages 503-521
Self-Organization....Pages 523-536
Back Matter....Pages 537-577

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Content:
Front Matter....Pages i-xx
Linear Oscillators....Pages 1-22
Oscillations in a System with Two Linked Oscillators....Pages 23-37
Oscillations in an Ensemble of Noninteracting Oscillators....Pages 39-47
Oscillations in Ordered Structures. Limit for a Continuous Medium Waves. Dispersion....Pages 49-79
Properties of Waves with Small Amplitudes in Continuous Media....Pages 81-120
Stability and Instability of Linear Systems with Discrete Spectra....Pages 121-140
Stability of Distributed Systems with Continuous Spectra....Pages 141-169
Propagation Velocity of Waves....Pages 171-184
Energy and Momentum of Waves....Pages 185-194
Waves with Negative Energy. Linked Waves....Pages 195-212
Parametric Systems and Parametric Instability....Pages 213-237
Adiabatic Invariants. Propagation of Waves in Inhomogeneous Media....Pages 239-272
The Nonlinear Oscillator....Pages 273-297
Periodic Self-Excited Oscillations....Pages 299-308
General Properties of Nonlinear Dynamic Systems in Phase Space....Pages 309-328
Self-Excited Oscillations in Multifrequency Systems....Pages 329-352
Resonance Interactions between Oscillators....Pages 353-374
Simple Waves and the Formation of Discontinuities....Pages 375-394
Stationary Shock Waves and Solitons....Pages 395-415
Modulated Waves in Nonlinear Media....Pages 417-443
Self-Excited Oscillations in Distributed Systems....Pages 445-463
Stochastic Dynamics in Simple Systems....Pages 465-501
The Onset of Turbulence....Pages 503-521
Self-Organization....Pages 523-536
Back Matter....Pages 537-577
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