Controlling and synchronization in chaotic systems using parameter identification method

Abstract

In this manuscript, we investigate projective synchronization (PS) between identical chaotic new Hamiltonian systems based on Henon-Heiles Model using parameter identification method (PIM). Initially, Lyapunov’s ´ theory of stability is used to design the proper adaptive controllers in view of master-slave configuration to achieve the global asymptotic stability. Also, the proposed technique establishes identification of parameter simultaneously via PS scheme. Additionally, numerical simulations are performed using MATLAB software for visualizing the efficiency and feasibility of the proposed methodology. Furthermore, the discussed approach has numerous significant applications in encryption and secure communication.