Identical synchronization controller between the Hindmarsh -Rose 2D and the FitzHugh-Nagumo type model

Abstract

Identical synchronization is not easy to get between two different systems of ordinary differential equations even the big coupling strength. In this study, a controller is proposed to help the identical synchronization occur between the model of Hindmarsh-Rose 2D type and the model of FitzHugh-Nagumo type. Specifically, we search for sufficient conditions to achieve the desired synchronization with the introduced controller and simulate it numerically on R to verify its effectiveness.