Nonlinear control technique for dual combination synchronization of complex chaotic systems

Abstract

In this article, the authors have investigated a novel scheme of dual combination synchronization among six different complex chaotic systems using nonlinear control technique. The important feature of the considered dual combination synchronization is various synchronization processes viz., complete synchronization, combination synchronization, projective synchronization, dual synchronization, chaos control problem become particular cases of the said scheme. Since complex chaotic systems have additional variables and complexity in behaviours, the scheme is expected to be more secure for transmitting and receiving signals in communication theory. The stability analysis of the scheme is achieved by using nonlinear control method based on Lyapunov stability theory. The corresponding theoretical results are being simulated using fourth order Runge-Kutta algorithm taking complex Lorenz system, complex Lu system, complex T system, complex Chen system as drive systems and complex two coupled dynamos system and a new nonlinear complex chaotic system as response systems. The results are depicted through graphical presentations for different particular cases. © 2019 L & H Scientific Publishing, LLC.