Nonlinear chemical waves

Bibliographic Information

Nonlinear chemical waves

Peter J. Ortoleva

(Nonlinear science : theory and applications)

J. Wiley & Sons, c1992

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Includes bibliographical references and index

Description and Table of Contents

Description

Chemical patterns supported by nonlinear reaction-transport systems are not restricted to propagating waves. Standing, oscillating, chaotic and multiply periodic phenomena may also occur. This volume is concerned with chemical waves mechanics arising from reaction-transport systems. It demonstrates that, as with the free particle in quantum mechanics, certain simple elements can serve as organizing tools for the understanding of the complex phenomena treated. The observed variety of waves and patterns is derived from the analysis of the mathematical structures implied by the simple elements.

Table of Contents

  • The Variety and Structure of Chemical Waves
  • Catastrophe and Propagation
  • Slow Shocks and Bilayer Structures
  • A Variety of Free Boundary Problems
  • Perturbed Dynamic Attractors
  • Universal Behavior Near Criticality
  • Unfolding Kinetic Degeneracies
  • Waves and Static Patterns in Finite Two- and Three-Dimensional Media
  • Centre Waves in Unbounded Media
  • Electric Field Interactions
  • Renormalized Dynamics Under High-Frequency Fields
  • Nonlinear Electromagnetic Pulse Complexes and Aperiodic Trains
  • Surfaces and Membranes
  • Cell Aggregates
  • Mechanochemical Waves
  • Appendix
  • Index.

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