Nonlinear Waves 1: Dynamics and Evolution

✍ Scribed by Yu. A. Danilov (auth.), Professor Andrei V. Gaponov-Grekhov, Professor Mikhail I. Rabinovich, Professor Jüri Engelbrecht (eds.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 1989
Tongue: English
Leaves: 249
Series: Research Reports in Physics
Edition: 1
Category: Library

⬇ Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis

Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at the last School were invited to provide English reviews and research papers for these two volumes (which in the years to come will be followed by the proceedings of forthcoming schools). The first volume starts with a historical overview of nonlinear dynamics from Poincaré to the present day and touches topics like attractors, nonlinear oscillators and waves, turbulence, pattern formation, and dynamics of structures in nonequilibrium dissipative media. It then deals with structures, bistabilities, instabilities, chaos, dynamics of defects in 1d systems, self-organizations, solitons, spatio-temporal structures and wave collapse in optical systems, lasers, plasmas, reaction-diffusion systems and solids.

✦ Table of Contents

Front Matter....Pages I-XII
Front Matter....Pages 1-1
Nonlinear Dynamics: Poincaré and Mandelstam....Pages 2-13
Attractors....Pages 14-28
From Nonlinear Oscillations to Nonlinear Waves....Pages 29-51
Nonlinear Dynamics and Turbulence....Pages 52-64
Pattern Formation and Dynamics of Two-Dimensional Structures in Non-Equilibrium Dissipative Media....Pages 65-89
Front Matter....Pages 91-91
Bistabilities, Instabilities and Chaos in Passive Nonlinear Optical Systems....Pages 92-102
Dynamics of Defects and Onset of Spatial Chaos in One-Dimensional Systems....Pages 103-110
Self-Organization Phenomena in Laser Thermochemistry....Pages 111-125
Thermal-Diffusion Autosolitons in Semiconductor and Gas Plasmas....Pages 126-151
The Wave-Turbulent Dynamo....Pages 152-158
Criteria of the Existence of Moving Structures in Two-Component Reaction-Diffusion Systems....Pages 159-167
Spatio-Temporal Structures in Opto-Electronic Devices....Pages 168-184
Multiple Array Processors for Two-Dimensional Nonequilibrium Media Computer Simulation....Pages 185-202
Laser-Induced Instabilities and Phase Transitions on the Surfaces of Solids with the Formation of the Ordered Structures....Pages 203-213
Stimulated Scattering and Surface Structures....Pages 214-223
Distributed Wave Collapse in the Nonlinear Schrödinger Equation....Pages 224-234
Back Matter....Pages 235-240

✦ Subjects

Statistical Physics, Dynamical Systems and Complexity;Atomic, Molecular, Optical and Plasma Physics;Quantum Information Technology, Spintronics;Quantum Physics;Mathematical Methods in Physics;Numerical and Computational Physics

📜 SIMILAR VOLUMES

Nonlinear Waves: Dynamics and Evolution

📁 Nonlinear Waves: Dynamics and Evolution

✍ V. S. Afraimovich, A. M. Reiman (auth.), Professor Andrei V. Gaponov-Grekhov, Pr 📂 Library 📅 1989 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at th

Nonlinear Waves and Pattern Dynamics

📁 Nonlinear Waves and Pattern Dynamics

✍ Nizar Abcha, Efim Pelinovsky, Innocent Mutabazi 📂 Library 📅 2018 🏛 Springer International Publishing 🌐 English

This book addresses the fascinating phenomena associated with nonlinear waves and spatio-temporal patterns. These appear almost everywhere in nature from sand bed forms to brain patterns, and yet their understanding still presents fundamental scientific challenges. The reader will learn

Nonlinear waves and pattern dynamics

📁 Nonlinear waves and pattern dynamics

✍ Abcha, Nizar; Mutabazi, Innocent; Pelinovsky, Efim (eds.) 📂 Library 📅 2018 🏛 Springer 🌐 English

Nonlinear Wave Dynamics: Complexity and

📁 Nonlinear Wave Dynamics: Complexity and Simplicity

✍ Jüri Engelbrecht (auth.) 📂 Library 📅 1997 🏛 Springer Netherlands 🌐 English

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our ev

Nonlinear Wave Dynamics: Complexity and

📁 Nonlinear Wave Dynamics: Complexity and Simplicity

✍ Engelbrecht J. 📂 Library 📅 1997 🏛 Springer 🌐 English

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our every

Nonlinear Evolution Equations and Dynami

📁 Nonlinear Evolution Equations and Dynamical Systems

✍ P. M. Santini, A. S. Fokas (auth.), Sandra Carillo, Orlando Ragnisco (eds.) 📂 Library 📅 1990 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

Nonlinear Evolution Equations and Dynamical Systems (NEEDS) provides a presentation of the state of the art. Except for a few review papers, the 40 contributions are intentially brief to give only the gist of the methods, proofs, etc. including references to the relevant litera- ture. This gi