Oscillations and Waves in Linear and Nonlinear Systems
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1989, 1989
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| Edition: | 1st ed. 1989 |
| Series: | Mathematics and its Applications, Soviet Series
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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