© 1989

Nonlinear Waves 1

Dynamics and Evolution

  • Andrei V. Gaponov-Grekhov
  • Mikhail I. Rabinovich
  • Jüri Engelbrecht
Conference proceedings

Part of the Research Reports in Physics book series (RESREPORTS)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Nonlinear Dynamics: From Poincaré to the Present Day

    1. Front Matter
      Pages 1-1
    2. V. S. Afraimovich
      Pages 14-28
    3. M. I. Rabinovich
      Pages 52-64
    4. A. V. Gaponov-Grekhov, A. S. Lomov, G. V. Osipov, M. I. Rabinovich
      Pages 65-89
  3. Structures

    1. Front Matter
      Pages 91-91
    2. F. V. Bunkin, N. A. Kirichenko, B. S. Luk’yanchuk
      Pages 111-125
    3. B. S. Kerner, V. V. Osipov
      Pages 126-151
    4. B. I. Barts, S. S. Moiseev
      Pages 152-158
    5. A. V. Masterov, V. N. Tolkov, V. G. Yakhno
      Pages 168-184
    6. V. K. Gavrikov, A. V. Kats, V. M. Kontorovich, I. S. Spevak
      Pages 214-223
    7. V. I. Talanov, S. N. Vlasov
      Pages 224-234
  4. Back Matter
    Pages 235-240

About these proceedings


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.


Cross section Oscillation Phase Plasma nonlinear dynamics scattering wave

Editors and affiliations

  • Andrei V. Gaponov-Grekhov
    • 1
  • Mikhail I. Rabinovich
    • 1
  • Jüri Engelbrecht
    • 2
  1. 1.Institute of Applied PhysicsGorkyUSSR
  2. 2.Institute of CyberneticsEstonian SSR Academy of SciencesTallinnUSSR

Bibliographic information