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Nonlinear Oscillations and Waves in Dynamical Systems

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Cover of 'Nonlinear Oscillations and Waves in Dynamical Systems'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Dynamical systems. Phase space. Stochastic and chaotic systems. The number of degrees of freedom
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    Chapter 3 Hamiltonian systems close to integrable. Appearance of stochastic motions in Hamiltonian systems
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    Chapter 4 Attractors and repellers. Reconstruction of attractors from an experimental time series. Quantitative characteristics of attractors
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    Chapter 5 Natural and forced oscillations and waves. Self-oscillations and auto-waves
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    Chapter 6 Conservative systems
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    Chapter 7 Non-conservative Hamiltonian systems and dissipative systems
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    Chapter 8 Natural oscillations of non-linear oscillators
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    Chapter 9 Natural oscillations in systems of coupled oscillators
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    Chapter 10 Natural waves in bounded and unbounded continuous media. Solitons
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    Chapter 11 Oscillations of a non-linear oscillator excited by an external force
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    Chapter 12 Oscillations of coupled non-linear oscillators excited by an external periodic force
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    Chapter 13 Parametric oscillations
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    Chapter 14 Waves in semibounded media excited by perturbations applied to their boundaries
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    Chapter 15 Forced oscillations and waves in active non-self-oscillatory systems. Turbulence. Burst instability. Excitation of waves with negative energy
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    Chapter 16 Mechanisms of excitation and amplitude limitation of self-oscillations and auto-waves. Classification of self-oscillatory systems
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    Chapter 17 Examples of self-oscillatory systems with lumped parameters. I
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    Chapter 18 Examples of self-oscillatory systems with lumped parameters. II
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    Chapter 19 Examples of self-oscillatory systems with high frequency power sources
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    Chapter 20 Examples of self-oscillatory systems with time delay
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    Chapter 21 Examples of continuous self-oscillatory systems with lumped active elements
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    Chapter 22 Examples of self-oscillatory systems with distributed active elements
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    Chapter 23 Periodic actions on self-oscillatory systems. Synchronization and chaotization of self-oscillations
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    Chapter 24 Interaction between self-oscillatory systems
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    Chapter 25 Examples of auto-waves and dissipative structures
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    Chapter 26 Convective structures and self-oscillations in fluid. The onset of turbulence
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    Chapter 27 Hydrodynamic and acoustic waves in subsonic jet and separated flows
Attention for Chapter 16: Mechanisms of excitation and amplitude limitation of self-oscillations and auto-waves. Classification of self-oscillatory systems
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Chapter title
Mechanisms of excitation and amplitude limitation of self-oscillations and auto-waves. Classification of self-oscillatory systems
Chapter number 16
Book title
Nonlinear Oscillations and Waves in Dynamical Systems
Published by
Springer Netherlands, January 1996
DOI 10.1007/978-94-015-8763-1_16
Book ISBNs
978-9-04-814670-3, 978-9-40-158763-1
Authors

P. S. Landa

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