Oscillations and Waves

Inhaltsverzeichnis

• 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.