Computational Methods for Bifurcation Problems with Symmetries on the Manifold

Abstract

This paper is about numerical methods for the determination of bifurcation points of certain steady state multi-parameter problems in the presence of symmetries. A principal tool is the fact that under general conditions the solution set forms a manifold in the space of all state and parameter variables. The reduced manifold with respect to some subsymmetry is introduced. Methods are presented for the local computation of the submanifold of bifurcation points of the same symmetry.

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Document Details

Document Type
Technical Report
Publication Date
Jun 03, 1991
Accession Number
ADA237146

Entities

People

  • Bin Hong

Organizations

  • University of Pittsburgh

Tags

DTIC Thesaurus Topics

  • Algebraic Geometry
  • Applied Mechanics
  • Classification
  • Computational Science
  • Computations
  • Coordinate Systems
  • Equations
  • Geometry
  • Hilbert Space
  • Lie Groups
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Standards
  • Steady State
  • Symmetry

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space