ON THE COMPLEX DYNAMIC BEHAVIOR IN NONLINEAR-SYSTEMS WITH DELAY

Oscillatory dynamic behaviour emerging from Hopf bifurcation phenomeno n in nonlinear feedback systems with delay is presented. The periodic branches are recovered after using Harmonic Balance Approximations (HB A) and the theory of feedback control systems. The results are plotted and compared against those obtained by simulations. Furthermore, othe r static, dynamic and degenerate bifurcations are pointed out using th is methodology in the so-called frequency domain. Two examples for ill ustrating the application of this technique are included.