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

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.


Contents
SERIES EDITOR'S PREFACE
PREFACE
INTRODUCTION
Part 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
Part 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
Index

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