Rabinovich M.I., Trubetskov D.I. Oscillations and Waves: in Linear and Nonlinear Systems

Kluwer Academic Publishers, 1989. — 586 p. — ISBN: 0792304454 9789400910331 9780792304456 |This volume is text book in the field of Oscilations and Waves, and one of the early text books on the nonlinear aspect of the unified theory of oscillations and waves.An important part of the book is in its qualitative treatment of nonlinear waves in phase space.Oscillations and Waves in Linear Systems
Linear Oscillators.
Oscillations in a System with Two Linked Oscillators
Oscillations in an Ensemble of Non-Interacting Oscillators
Oscillations in Ordered Structures. Limit for a Continuous medium Waves. Dispersion
Properties of Waves with Small Amplitudes in Continuous media
Stability and Instability of Linear Systems with Discrete Spectra
Stability of Distributed Systems with Continuous Spectra
Propagation Velocity of Waves
Energy and Momentum of Waves
Waves with Negative Energy. Linked Waves
Parametric Systems and Parametric Instability
Adiabatic Invariants. Propagation of Waves in Inhomogeneous Media
Oscillations and Waves in Nonlinear Systems
The Nonlinear Oscillator
Periodic Self-Excited Oscillations
General Properties of Nonlinear Dynamic Systems in Phase Space
Self-Excited Oscillations in Multifrequency Systems
Resonance Interactions between Oscillators
Simple Waves and the Formation of Discontinuities
Stationary Shock Waves and Solitons
Modulated Waves in Nonlinear Media
Self-Excited Oscillations in Distributed Systems
Stochastic Dynamics in Simple Systems
The Onset of Turbulence
Self-Organization