Feedback control of bursting and multistability in chaotic systems

With a modulated CO2 laser as a standard model of periodically driven multistable systems, we experimentally demonstrate that a small-amplitude optoelectronic feedback perturbation can efficiently transform a bursting chaotic system to a nonchaotic one. Numerical simulations are in excellent agreement with the experimental results. The control has also been equally effective in the case of a driven FitzHugh–Nagumo model of Neuroscience.

► We explore a completely deterministic closed-loop mechanism to control bursting.
► We experimentally demonstrate the control technique on a CO2 modulated laser.
► Numerical simulations replicate the experimental results.
► Applicability of the technique for the control of bursting in a driven FHN.
► We tested its efficiency in controlling bistability in a CO2 modulated laser.