Generic Properties of an Integro-Differential Equation.

Abstract

Consider the functional differential equation where a,g are continuous. The linear function is such that the characteristic equation has two eigenvalues on the imaginary axis and the remaining ones with negative real parts. In spite of this, it is shown there is no generic Hopf bifurcation for any g. The nature of the bifurcation is characterized under hypotheses which appear to be generic in g. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA088242

Entities

People

  • Jack K. Hale

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Analytic Functions
  • Applied Mathematics
  • Differential Equations
  • Eigenvalues
  • Equations
  • Formulas (Mathematics)
  • Hypotheses
  • Mathematics
  • Residuals
  • Rhode Island
  • Scientific Research
  • Topology
  • Two Dimensional
  • Variational Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis