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Patterns and Dynamics in Reactive Media

  • Conference proceedings
  • © 1991

Overview

Editors:
  1. Rutherford Aris

    1. Department of Chemical Engineering and Material Science, University of Minnesota, Minneapolis, USA

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  2. Donald G. Aronson

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Harry L. Swinney

    1. Physics Department and the Center for Nonlinear Dynamics, University of Texas, Austin, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 37)

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Table of contents (12 papers)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Simple Resonance Regions of Torus Diffeomorphisms

    • Claude Baesens, John Guckenheimer, Seunghwan Kim, Robert Mackay
    Pages 1-9

  3. A Minimal Model for Spatio-Temporal Patterns in Thin Film Flow

    • H. S. Brown, I. G. Kevrekidis, M. S. Jolly
    Pages 11-31

  4. Localized and Extended Patterns in Reactive Media

    • Christian Elphick, Ehud Meron
    Pages 33-42

  5. Some Recent Results in Chemical Reaction Network Theory

    • Martin Feinberg
    Pages 43-70

  6. Genericity, Bifurcation and Symmetry

    • Martin Golubitsky
    Pages 71-87

  7. Dynamics of Some Electrochemical Reactions

    • J. L. Hudson
    Pages 89-100

  8. Construction of the Fitzhugh-Nagumo Pulse Using Differential Forms

    • C. Jones, N. Kopell, R. Langer
    Pages 101-115

  9. Kinetic Polynomial: A New Concept of Chemical Kinetics

    • Mark Z. Lazman, Gregory S. Yablonskii
    Pages 117-149

  10. Convergence of Travelling Waves for Phase Field Equations to Sharp Interface Models in the Singular Limit

    • Yasumasa Nishiura, Gunduz Caginalp
    Pages 151-157

  11. Standing and Propagating Temperature Waves on Electrically Heated Catalytic Surfaces

    • Georgios Philippou, Dan Luss
    Pages 159-169

  12. Mixed-Mode Oscillations in the Nonisothermal Autocatalator

    • S. K. Scott, A. S. Tomlin
    Pages 171-186

  13. Bifurcations and Global Stability in Surface Catalyzed Reactions Using the Monte Carlo Method

    • D. G. Vlachos, L. D. Schmidt, R. Aris
    Pages 187-206
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Keywords

About this book

Ever since the seminal works on traveling waves and morphogenesis by Fisher, by Kolmogorov, Petrovski and Piscunov, and by Turing, scientists from many disciplines have been fascinated by questions concerning the formation of steady or dynamic patterns in reactive media. Contributions to this volume have been made by chemists, chemical engineers, mathematicians (both pure and applied), and physicists. The topics covered range from reports of experimental studies, through descriptions of numerical experiments, to rather abstract theoretical investigations, each exhibiting different aspects of a very diverse field.

Editors and Affiliations

  • Department of Chemical Engineering and Material Science, University of Minnesota, Minneapolis, USA

    Rutherford Aris

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    Donald G. Aronson

  • Physics Department and the Center for Nonlinear Dynamics, University of Texas, Austin, USA

    Harry L. Swinney

Bibliographic Information

  • Book Title: Patterns and Dynamics in Reactive Media

  • Editors: Rutherford Aris, Donald G. Aronson, Harry L. Swinney

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4612-3206-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1991

  • Hardcover ISBN: 978-0-387-97671-6Published: 22 October 1991

  • Softcover ISBN: 978-1-4612-7832-0Published: 01 October 2011

  • eBook ISBN: 978-1-4612-3206-3Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: XIV, 206

  • Topics: Math. Applications in Chemistry, Computational Intelligence

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