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

Abstract

This project was a continuation 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. The areas investigated involve techniques and information not attainable by standard simulation methods. The work completed can roughly be subdivided according to the local (Hopf bifurcation) analysis in the neighborhood of equilibria, and global tracking methods for following 1-parameter families of periodic orbits and examining their secondary bifurcation structure.

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Document Details

Document Type
Technical Report
Publication Date
Nov 18, 1988
Accession Number
ADA204404

Entities

People

  • Harlan W. Stech

Organizations

  • University of Minnesota Duluth

Tags

Communities of Interest

  • Autonomy
  • Human Systems
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Computational Complexity
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Programming
  • Computers
  • Convergence
  • Difference Equations
  • Differential Equations
  • Equations
  • Identification
  • Mainframe Computers
  • Mathematics
  • Scientific Research
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space