ON THE STABILITY CONSTRAINTS AND OSCILLATORY BEHAVIOR OF COUPLED SYSTEMS,

Abstract

Stability constraints have been derived for two general forms of coupled systems of second order nonlinear differential equations. Examples of these systems have been investigated for oscillatory behavior, and general conditions have been derived to assure that their solutions never decay even though the systems have dissipative coupling. Further work is being undertaken on oscillatory behavior of such systems so as to find a result similar to (**) for higher order systems. The hypersurface computed to find an inner amplitude bound is the first step. Numerical results are not presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD0660594

Entities

People

  • H. H. Bybee
  • J. K. Aggarwal

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Couplings
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis