Accession Number:

AD0702756

Title:

NONEXISTENCE OF OSCILLATIONS IN A NONLINEAR DISTRIBUTED NETWORK,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE R I CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

Report Date:

1970-01-01

Pagination or Media Count:

37.0

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

Subject Categories:

  • Electrical and Electronic Equipment

Distribution Statement:

APPROVED FOR PUBLIC RELEASE