Chaotic bursting lag synchronization of Hindmarsh-Rose system via a single controller

Chaotic bursting lag synchronization of Hindmarsh-Rose system is investigated. Two lag synchronization schemes with only a single controller are proposed to synchronize Hindmarsh-Rose chaotic system via back stepping method. Especially in the second scheme, only one state variable is contained in the controller. Based on Lyapunov stability theory, the sufficient conditions for synchronization are obtained analytically in both cases. Finally, numerical simulations are provided to show the effectiveness of the developed methods.