Accession Number : AD0702756

Title :   NONEXISTENCE OF OSCILLATIONS IN A NONLINEAR DISTRIBUTED NETWORK,

Corporate Author : BROWN UNIV PROVIDENCE R I CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s) : Slemrod,Marshall

Report Date : 1970

Pagination or Media Count : 37

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)

Descriptors :   (*RELAXATION OSCILLATORS, MATHEMATICAL MODELS), (*ELECTRICAL NETWORKS, OSCILLATION), TRANSMISSION LINES, PARTIAL DIFFERENTIAL EQUATIONS, NONLINEAR DIFFERENTIAL EQUATIONS, STABILITY, THEOREMS

Subject Categories : Electrical and Electronic Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE