Anticipated synchronization and the predict-prevent control method in the FitzHugh-Nagumo model system

TL;DR

This paper investigates anticipated synchronization in FitzHugh-Nagumo systems and demonstrates that the predict-prevent control method effectively suppresses unwanted pulses, even with parameter mismatches, outperforming direct control methods.

Contribution

It introduces the application of the predict-prevent control method to FitzHugh-Nagumo models and shows its robustness and efficiency over direct control, even with parameter mismatches.

Findings

Anticipated synchronization is robust to different external forcings.

Predict-prevent control effectively suppresses unwanted pulses.

Parameter mismatches can enhance control efficiency.

Abstract

We study the synchronization region of two unidirectionally coupled, in a master-slave configuration, FitzHugh-Nagumo systems under the influence of external forcing terms. We observe that anticipated synchronization is robust to the different types of forcings. We then use the predict-prevent control method to suppress unwanted pulses in the master system by using the information of the slave output. We find that this method is more efficient than the direct control method based on the master. Finally, we observe that a perfect matching between the parameters of the master and the slave is not necessary for the control to be efficient. Moreover, this parameter mismatch can, in some cases, improve the control.