Local and Global Techniques for the tracking of Periodic Solutions of Parameter-Dependent Functional Differential Equations.

Abstract

This project initiated various aspects of an ongoing study of numerical/analytic techniques for the identification of periodic solutions to functional differential equations. The techniques developed apply to very general classes of equations, and have been implemented on a variety of specific model problems. Local techniques refer to methods that apply to the problem of analyzing the Hopf bifurcation structure of small periodic orbits of multiparameter systems. A FORTRAN code, BIFDE, was written to analyze generic bifurcations of general systems with infinite delay. Global tracking methods have been developed to study the growth and parameter dependence of global Hopf bifurcations. Investigations have centered on the development of spine-based approximation techniques and their implementation in a FORTRAN code FDETRAK. Keywords: Mathematical programming, Machine coding; Subroutines, Numerical analysis.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 30, 1987
Accession Number
ADA185756

Entities

People

  • Harlan W. Stech

Organizations

  • University of Minnesota Duluth

Tags

Communities of Interest

  • Autonomy
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Feedback
  • Fourier Series
  • Identification
  • Iterations
  • Mathematics
  • Minnesota
  • Numerical Analysis
  • Statistics
  • Students
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computer Science.
  • Control Systems Engineering.

Technology Areas

  • Space