Accession Number : ADA185756

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

Descriptive Note : Final rept. 1 Mar 86-30 Apr 87,

Corporate Author : MINNESOTA UNIV DULUTH DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s) : Stech, Harlan W

PDF Url : ADA185756

Report Date : 30 Apr 1987

Pagination or Media Count : 29

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.

Descriptors :   *DIFFERENTIAL EQUATIONS, *NUMERICAL ANALYSIS, *MACHINE CODING, FUNCTIONAL ANALYSIS, DELAY, MACHINE CODING, PERIODIC FUNCTIONS, FORTRAN, GLOBAL, METHODOLOGY, TRACKING, MATHEMATICAL PROGRAMMING, NUMERICAL METHODS AND PROCEDURES, ORBITS, TRACKING, SOLUTIONS(GENERAL), MATHEMATICAL MODELS, BIFURCATION(MATHEMATICS)

Subject Categories : Numerical Mathematics
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE