TY - JOUR
T1 - Stalling chaos control accelerates convergence
AU - Bick, Christian
AU - Kolodziejski, Christoph
AU - Timme, Marc
PY - 2013/6/1
Y1 - 2013/6/1
N2 - Since chaos control has found its way into many applications, the development of fast, easy-to-implement and universally applicable chaos control methods is of crucial importance. Predictive feedback control has been widely applied but suffers from a speed limit imposed by highly unstable periodic orbits. We show that this limit can be overcome by stalling the control, thereby taking advantage of the stable directions of the uncontrolled chaotic map. This analytical finding is confirmed by numerical simulations, giving a chaos-control method that is capable of successfully stabilizing periodic orbits of high period.
AB - Since chaos control has found its way into many applications, the development of fast, easy-to-implement and universally applicable chaos control methods is of crucial importance. Predictive feedback control has been widely applied but suffers from a speed limit imposed by highly unstable periodic orbits. We show that this limit can be overcome by stalling the control, thereby taking advantage of the stable directions of the uncontrolled chaotic map. This analytical finding is confirmed by numerical simulations, giving a chaos-control method that is capable of successfully stabilizing periodic orbits of high period.
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U2 - 10.1088/1367-2630/15/6/063038
DO - 10.1088/1367-2630/15/6/063038
M3 - Article
AN - SCOPUS:84879964597
VL - 15
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
M1 - 063038
ER -