Shadow Systems and Attractors in Reaction-Diffusion Equations,

Abstract

For a pair of reaction diffusion equations with one diffusion coefficient very large, there is associated a reaction diffusion equation coupled with an ordinary differential equation (the shadow system) with nonlocal effects which has the property that it contains all of the essential dynamics of the original equations. Keywords: Theorems; Graphs; Partial differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1987
Accession Number
ADA185804

Entities

People

  • Jack K. Hale
  • Kunimochi Sakamoto

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy
  • C4I

DTIC Thesaurus Topics

  • Applied Mathematics
  • Classification
  • Coefficients
  • Contracts
  • Differential Equations
  • Diffusion
  • Diffusion Coefficient
  • Dynamics
  • Equations
  • Formulas (Mathematics)
  • Integral Equations
  • Lyapunov Functions
  • Mathematics
  • Nonlinear Differential Equations
  • Partial Differential Equations
  • Security
  • Variational Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Wave Propagation and Nonlinear Chaotic Dynamics.