Nonlinear waves : dynamics and evolution

Author(s)

• Gaponov-Grekhov, A. V. (Andreĭ Viktorovich)
• Rabinovich, M. I. (Mikhail I.)
• Ėngelʹbrekht, I︠U︡riĭ K.
• Vsesoi︠u︡znai︠a︡ shkola po nelineĭnym volnam

Bibliographic Information

Nonlinear waves : dynamics and evolution

A.V. Gaponov-Grekhov, M.I. Rabinovich, J. Engelbrecht, (eds.)

（Research reports in physics）

Springer-Verlag, c1989

• v. 1 : gw
• v. 1 : us
• v. 2 : gw
• v. 2 : us

Note

"8th All-Union-School on Nonlinear Physics held in Gorky in March 1987"--Pref.

Translated from the Russian

Includes indexes

Description and Table of Contents

Volume

v. 1 : gw ISBN 9783540505624

Description

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 Poincare 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

I Nonlinear Dynamics: From Poincare to the Present Day.- Nonlinear Dynamics: Poincare and Mandelstam.- Attractors.- From Nonlinear Oscillations to Nonlinear Waves.- Nonlinear Dynamics and Turbulence.- Pattern Formation and Dynamics of Two-Dimensional Structures in Non-Equilibrium Dissipative Media.- II Structures.- Bistabilities, Instabilities and Chaos in Passive Nonlinear Optical Systems.- Dynamics of Defects and Onset of Spatial Chaos in One-Dimensional Systems.- Self-Organization Phenomena in Laser Thermochemistry.- Thermal-Diffusion Autosolitons in Semiconductor and Gas Plasmas.- The Wave-Turbulent Dynamo.- Criteria of the Existence of Moving Structures in Two-Component Reaction-Diffusion Systems.- Spatio-Temporal Structures in Opto-Electronic Devices.- Multiple Array Processors for Two-Dimensional Nonequilibrium Media Computer Simulation.- Laser-Induced Instabilities and Phase Transitions on the Surfaces of Solids with the Formation of the Ordered Structures.- Stimulated Scattering and Surface Structures.- Distributed Wave Collapse in the Nonlinear Schroedinger Equation.- Index of Contributors.

Volume

v. 2 : gw ISBN 9783540506546

Description

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 second volume deals with dynamical chaos in classical and quantum systems, with evolution in chemical systems and self-organisation in biology, and with applications of nonlinear dynamics to condensed matter, sea waves, and astrophysics.

Table of Contents

I Dynamic Chaos.- Dimensions and Entropies in Multidimensional Systems.- Measurement Methods for Correlation Dimensions.- Quantum Localization of Dynamic Chaos.- Randomness and Predictability in Dynamic Chaos.- Stochastic Vibrational Dynamics of Polyatomic Molecules.- II Evolution.- The Phenomena of Self-Organization in Bacterial Cells and Populations.- The Mechano-Chemical Activity of Cells and Selforganization of Embryonic Patterns.- Drift of a Reverberator in an Active Medium due to the Interaction with Boundaries.- Photochromic and Nonlinear Processes in Bio-Chrom-Br Films.- Engineering of Dynamical Systems for Pattern Recognition and Information Processing.- III Applications of Nonlinear Dynamics.- Nonlinear Phenomena in Condensed Matter: Universe in a Helium Droplet.- Nonlinear Theory of Sea Wave Run-Up.- Superradiance: Approach to Electrodynamics of Continuous Active Media.- The Origin and Evolutionary Dynamics of Uranian Rings.- Index of Contributors.

by "Nielsen BookData"

Details

• NCID: BA07299392
• ISBN:
  • 3540505628
  • 0387505628
  • 3540506543
  • 0387506543
• LCCN: 88037177
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: 2 v.
• Size: 25 cm
• Classification:
  • LCC : QC133
  • DC19 : 531/.11
• Subject Headings:
  • LCSH : Dynamics -- Congresses
  • LCSH : Nonlinear theories -- Congresses
  • LCSH : Nonlinear waves -- Congresses
• Parent Bibliography ID:
  • BA06676276