Study of Weakly Nonlinear Dynamical Systems and Their Stability.

Abstract

The fundamental results of the Method of Averaging have been generalized in a manner so that new mathematical results are suitable for application to a large class of problems arising in applications. Gyroscopic systems with large conserved momenta are studied using the theory of singular perturbation. A new mathematicalresult valid for finite time has been obtained. The results of the mathematical analysis are applicable to gyroscopes devices with high spin. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 03, 1970
Accession Number
AD0716538

Entities

People

  • P. R. Sethna

Organizations

  • University of Minnesota

Tags

DTIC Thesaurus Topics

  • Gyroscopes
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Perturbations

Fields of Study

  • Mathematics
  • Physics

Readers

  • Control Systems Engineering.