TAMING CHAOS - A NUMERICAL EXPERIMENT USING LOW-ORDER LTI FILTERS

According to a recent paper by Jonckheere, Hammad, and Wu [6], it is n ot possible to reduce the Kolmogorov-Sinai entropy by linear, stationa ry feedback, if the closed loop system Is stable and minimum phase. Th is paper provides some extra insight into the understanding of this si tuation by bifurcation diagram (rather than entropy) analysis of three simple examples. In this numerical experiment, a chaotic signal is us ed as input to a linear filter that models the closed loop system. No forcing or tuning of the chaotic input is available. It appears that l ow-order LTI filters cannot tame chaos.