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.