Research On Chaos Control And Synchonization Of Hindmarsh-Rose Neuron Models

The present thesis is devoted to the study of chaos control and synchronization of the Hindmarsh-Rose neuron models. The main issues of the thesis are addressed as follows:Firstly, by using the adaptive feedback control technique, some new yet generic sufficient conditions for synchronization of such models are derived.Secondly, based on the sliding control, a brief and practial criterion for synchronization of such models are established.Finally, by utilizing impulsive control theory on dynamical systems, some simple yet less conservative criteria ensuring impulsive stabilization and synchronization of such models are obtained.It is believed that the above works further develop existing theoretical results and control techniques, and the numerical simulation demonstrates the effectiveness and feasibility of the proposed control techniques.