Tracking unstable steady states and periodic orbits of oscillatory and chaotic electrochemical systems using delayed feedback control.
Experimental results are presented on successful application of delayed-feedback control algorithms for tracking unstable steady states and periodic orbits of electrochemical dissolution systems. Time-delay autosynchronization and delay optimization with a descent gradient method were applied for stationary states and periodic orbits, respectively. These tracking algorithms are utilized in constructing experimental bifurcation diagrams of the studied electrochemical systems in which Hopf, saddle-node, saddle-loop, and period-doubling bifurcations take place.
Kiss
István Z
IZ
Department of Chemical Engineering, University of Virginia, Charlottesville, Virginia 22904, USA.
Kazsu
Zoltán
Z
Gáspár
Vilmos
V
D000465:Algorithms; D004563:Electrochemistry / Q000379:methods*; D025461:Feedback, Physiological; D015233:Models, Statistical; D009532:Nickel / Q000737:chemistry; D017711:Nonlinear Dynamics; D009991:Oscillometry; D013997:Time Factors
D009532:Nickel