Oscillations and Waves

One. Oscillations and Waves in Linear Systems. - 1. Linear Oscillators. - 2. Oscillations in a System with Two Linked Oscillators. - 3. Oscillations in an Ensemble of Non-Interacting Oscillators. - 4. Oscillations in Ordered Structures. Limit for a Continuous medium. Waves. Dispersion. - 5. Properties of Waves with Small Amplitudes in Continuous media. - 6. Stability and Instability of Linear Systems with Discrete Spectra. - 7. Stability of Distributed Systems with Continuous Spectra. - 8. Propagation Velocity of Waves. - 9. Energy and Momentum of Waves. - 10. Waves with Negative Energy. Linked Waves. - 11. Parametric Systems and Parametric Instability. - 12. Adiabatic Invariants. Propagation of Waves in Inhomogeneous Media. - Two. Oscillations and Waves in Nonlinear Systems. - 13. The Nonlinear Oscillator. - 14. Periodic Self-Excited Oscillations. - 15. General Properties of Nonlinear Dynamic Systems in Phase Space. - 16. Self-Excited Oscillations in Multifrequency Systems. - 17. Resonance Interactions between Oscillators. - 18. Simple Waves and the Formation of Discontinuities. - 19. Stationary Shock Waves and Solitons. - 20. Modulated Waves in Nonlinear Media. - 21. Self-Excited Oscillations in Distributed Systems. - 22. Stochastic Dynamics in Simple Systems. - 23. The Onset of Turbulence. - 24. Self-Organization. - References. Language: English