Bifurcation Analysis of Discrete-Time Systems with Multiple Time-Delays

摘要

A unified frequency-domain approach to analyze Neimark-Sacker bifurcations and flip bifurcations of discrete -time systems with multiple time-delays in the linear feed-forward and the nonlinear term is presented. The technique relies on the harmonic balance approach (HBA) and feedback systems theory. The expressions of the bifurcation solution and the stability are derived. One example is used to verify the result obtained.