Observer of a class of chaotic systems: An application to Hindmarsh-Rose neuronal model

This paper first investigates the observer of a class of chaotic systems, and then discusses the synchronization between two identical Hindmarsh-Rose (HR) neuronal chaotic systems. Both the drive and response systems are assumed to have only one state variable available. By constructing proper observers, some novel criteria for synchronization are proposed via a scalar input. Numerical simulations are given to demonstrate the efficiency of the proposed approach.