Radially Symmetric Patterns of Reaction-diffusion Systems (Memoirs of the American Mathematical Society illustrated Edition)

Radially Symmetric Patterns of Reaction-diffusion Systems (Memoirs of the American Mathematical Society illustrated Edition)

By: Arnd Scheel (author)Paperback

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Description

In this paper, bifurcations of stationary and time-periodic solutions to reaction-diffusion systems are studied. We develop a center-manifold and normal form theory for radial dynamics which allows for a complete description of radially symmetric patterns. In particular, we show the existence of localized pulses near saddle-nodes, critical Gibbs kernels in the cusp, focus patterns in Turing instabilities, and active or passive target patterns in oscillatory instabilities.

Contents

Introduction Instabilities in one space dimension Stationary radially symmetric patterns Time-periodic radially symmetric patterns Discussion Bibliography.

Product Details

  • ISBN13: 9780821833735
  • Format: Paperback
  • Number Of Pages: 86
  • ID: 9780821833735
  • ISBN10: 0821833731
  • edition: illustrated Edition

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