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Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

  • Book
  • © 1990

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Editors:
  1. F. H. Busse

    1. University of Bayreuth, Bayreuth, Federal Republic of Germany

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  2. L. Kramer

    1. University of Bayreuth, Bayreuth, Federal Republic of Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO Science Series B: (NSSB, volume 225)

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Table of contents (55 chapters)

  1. Front Matter

    Pages i-xii
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  2. Nonlinear Dynamics in Simple Fluids

    1. Spatial and Dynamical Properties of 1 — D Rayleigh-Benard Convection

      • M. Dubois, F. Daviaud, M. Bonetti
      Pages 1-6

    2. Dimensions and Lyapunov Spectra From Measured Time Series of Taylor-Couette Flow

      • Thorsten Buzug, Torsten Reimers, Gerd Pfister
      Pages 7-19

    3. Dynamical Behaviour of Taylor Vortices with Superimposed Axial Flow

      • Karl Bühler, Norbert Polifke
      Pages 21-29

    4. Externally Modulated Hydrodynamic Systems

      • Russell J. Donnelly
      Pages 31-43

    5. Sideband Instability of Waves with Periodic Boundary Conditions

      • B. Janiaud, E. Guyon, D. Bensimon, V. Croquette
      Pages 45-50

    6. Transition to Chaos in Non-Parallel Two-Dimensional Flow in a Channel

      • P. G. Drazin, W. H. H. Banks, M. B. Zaturska
      Pages 51-60

    7. Drifting Convection Rolls Induced by Spatial Modulation

      • G. Hartung, F. H. Busse, I. Rehberg
      Pages 61-65

    8. Convection in a Rotating Cylindrical Annulus with Rigid Boundaries

      • M. Schnaubelt, F. H. Busse
      Pages 67-72

  3. Binary Fluid Convection

    1. Complex Demodulation Techniques for Experiments on Traveling-Wave Convection

      • Paul Kolodner, Hugh Williams
      Pages 73-91

    2. Convection in Binary Liquids with Soret Effect: What We Can Learn from Laser Doppler Velocimetry Experiments

      • J. K. Platten, O. Lhost
      Pages 93-100

    3. Boundary Layer Analysis of Traveling Waves in Binary Convection

      • David Bensimon, Alain Pumir, Boris I. Shraiman
      Pages 101-107

    4. Nonlinear Convection in Binary Mixtures

      • E. Knobloch, D. R. Moore
      Pages 109-129

    5. Structure and Dynamics of Nonlinear Convective States in Binary Fluid Mixtures

      • W. Barten, M. Lücke, M. Kamps
      Pages 131-148

    6. Onset of Soret and Dufour Driven Convection in Binary Fluid Mixtures

      • W. Hort, S. J. Linz, M. Lücke
      Pages 149-153

    7. Experimental Study of Binary Fluid Convection in a Quasi 1-Dimensional Cell without Reflections from the Sidewalls

      • Wolfgang Schöpf, Ingo Rehberg
      Pages 155-158

  5. Localized Structures and Defects

    1. Phase-Mean Drift Equation for Convection Patterns in Large Aspect Ratio Containers

      • A. C. Newell, T. Passot, M. Souli
      Pages 197-209
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Keywords

About this book

This volume contains papers contributed to the NATO Advanced Research Workshop "Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems" held in Streitberg, Fed. Rep. Germany, Sept. 24 through 30, 1989. The purpose of the rather long title has been to focus attention on a particularly fruitful direction of research within the broad field covered by terms like Nonlinear Dynamics or Non-Equilibrium Systems. After physicists have been occupied for several decades mainly with the microscopic structure of matter, recent years have witnessed a resurgence of interest in macroscopic patterns and dynamics. Research on these latter phenomena has not been dormant, of course, since fluid dynamicists interested in the origin of turbulence, meteorologists studying weather patterns and numerous other scientists have continued to advance the understanding of the structures relevant to their disciplines. The recent progress in the dynamics of nonl inear systems wi th few degrees of freedom and the discovery of universal laws such as the Feigenbaum scaling of period-doubling cascades has given rise to new hopes for the understanding of common principles underlying the spontaneous formation of structures in extended continuous systems.

Editors and Affiliations

  • University of Bayreuth, Bayreuth, Federal Republic of Germany

    F. H. Busse, L. Kramer

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