Dynamical systems : theory and applications, Huddinge, Stockholm, June 15-20, 1992

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Dynamical systems : theory and applications, Huddinge, Stockholm, June 15-20, 1992

edited by Stig I. Andersson, Åke E. Andersson, Ulf Ottoson

World Scientific, c1993

Available at  / 19 libraries

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Description and Table of Contents

Description

The new transportation and communication possibilities have triggered an extensive and rapidly growing international network of scientific collaboration. In this volume, the contributions cover a variety of topics as can be seen from the contents. Despite this manifest disparity between the different topics, there is of course a unifying methodological factor in the theory of dynamical systems, which plays a paramount role in all the studies presented here. So the diversity of subjects is just one expression of the enormous spectrum of areas where the theory of dynamical systems has found applications during the past two decades.

Table of Contents

  • Part 1 Fluid dynamics - a contribution to the study of the Navier-Stokes evolution equations by a multigrid method, O. Ban
  • inertial manifolds and their dimensions, A. Debussche & R. Temam
  • construction of approximate inertial manifolds for Navier-Stokes equations using wavelets, O. Goubet
  • upper bound on the dimension of the attractor for the shear-layer flow in space dimension 3, A. Miranville. Part 2 Mathematical economics - capital, knowledge, and economic development, A.E. Andersson
  • multiple patterns in the dynamics of a stock market model, M. Galeotti & F. Gori. Part 3 Pattern analysis - synergetics - from pattern formation to pattern recognition, some basic mathematical results, H. Haken
  • chaotic behaviour of a pattern matching algorithm, P. Johansen. Part 4 Neural networks - elements of nonconvergent neuro-dynamics, F. Pasemann & E. Nelle. Part 5 Chaotic behaviour - structure of attractors - singular-continuous nowhere - differentiability in attractors, O.E. Rossler
  • chaotic motion of satellites, P. Teofilatto et al.

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