BIFURCATION ANALYSIS TOOLS FOR NEUTRAL DELAY EQUATIONS: A CASE STUDY

This paper studies an established transmission line model of an electrical device used to generate high-frequency chaos. The model is formulated as a neutral delay differential equation (NDDE) and has been shown to possess a period-doubling route to chaos, which matches experimental results. The NDDE model is investigated with newly developed numerical continuation routines to produce one-parameter and two-parameter bifurcation diagrams. In this way regions are identified where chaotic dynamics may occur. In addition to the chaotic dynamics other interesting dynamical effects are highlighted.