Patterns and Dynamics in Reactive Media

1. Front Matter

   Pages i-xiii

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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

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.

• Morphism
• construction
• equation
• kinetics
• model
• stability

• 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

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