Bifurcation and Nonlinear Oscillations.

Abstract

Two problems are discussed. The first one deals with the characterization of the flow for a periodic planar system which is the perturbation of an autonomous system which possesses either a saddle-node or degenerate focus or degenerate periodic orbit or homoclinic orbit. The second problem concerns the characterization of the flow near an equilibrium point of an autonomous equation when the linear variational equation has either two purely imaginary and one zero eigenvalue or two pairs of purely imaginary eigenvalues. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 28, 1980
Accession Number
ADA093182

Entities

People

  • Jack K. Hale
  • Shui-nee Chow

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Autonomous Systems
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Dynamics
  • Oscillation
  • Partial Differential Equations
  • Perturbations
  • Theorems
  • Two Dimensional
  • Variational Equations

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Autonomy
  • Autonomy - Autonomous System Control
  • Space
  • Space - Spacecraft Maneuvers