NONEXISTENCE OF OSCILLATIONS IN A NONLINEAR DISTRIBUTED NETWORK,

Abstract

A flip-flop circuit with one equilibrium point is formulated as a transmission line with a nonlinear current-voltage relation at one point. The mathematical model representing this network is a nonlinear functional differential equation of the neutral type. A theorem is proven exploiting the theory of Cruz and Hale for neutral equations which gives conditions for nonexistence of oscillations in the network. The theorem is also shown to validate a type of Aizerman conjecture for the type of nonlinear current-voltage relation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0702756

Entities

People

  • Marshall Slemrod

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Circuits
  • Differential Equations
  • Equations
  • Flip Flop Circuits
  • Mathematical Models
  • Mathematics
  • Models
  • Networks
  • Oscillation
  • Transmission Lines

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering