Gradient Based Control and Synchronization of Lorenz System with Periodic Parametric Forcing

Abstract

Several important properties of chaos synchronization with gradient based control of chaotic system with periodic parametric forcing remain still unexplored. This paper investigates the behavior of the Lorenz system to change from chaotic to periodic, parametric forcing also entrains the system output with the forcing frequency. Secondly synchronization of two identically chaotic Lorenz systems are derived by linear feedback control and then discussed the gradient based control method for Lorenz system with periodic parametric forcing. Finally numerical simulation results are presented to show the feasibility and effectiveness of the approach.