Self-Sustained Oscillations in a Ring Array of Coupled Lossless Transmission Lines

Abstract

In this paper, we derive a neutral difference-differential system with diffusion which arises from a ring array of coupled lossless transmission lines. We investigate the problem of self-sustained oscillations of the considered transmission lines and apply a global Hopf bifurcation theorem to establish the existence of multiple large amplitude phase-locked periodic solutions in the corresponding neutral system.