Ebook: Nonlinear Waves 1: Dynamics and Evolution

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.

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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 Poincar? 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.

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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 Poincar? 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.
Content:
Front Matter....Pages I-XII
Front Matter....Pages 1-1
Nonlinear Dynamics: Poincar? 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 Schr?dinger Equation....Pages 224-234
Back Matter....Pages 235-240

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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 Poincar? 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.
Content:
Front Matter....Pages I-XII
Front Matter....Pages 1-1
Nonlinear Dynamics: Poincar? 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 Schr?dinger Equation....Pages 224-234
Back Matter....Pages 235-240
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