Systems of Delay Equations with Small Solutions: A Numerical Approach

Abstract

We consider systems of delay differential equations. We investigate whether a numerical method can be used to determine whether or not the equation has so-called small solutions. Our work builds on recent analysis and experimental work completed in the scalar case and we are able to conclude that at least when A is a suitable periodic matrix one can predict small solutions by using a numerical approximation scheme of fixed step length.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013719

Entities

People

  • Neville J. Ford
  • Patricia M. Lumb

Tags

DTIC Thesaurus Topics

  • Crossings
  • Detection
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Matrix Theory
  • Technical Information Centers
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Control Systems Engineering.