Difference synchronization among three chaotic systems with exponential term and its chaos control

Abstract

In this article, the difference synchronization and chaos control of chaotic systems with nonlinear exponential terms have been studied by using the feedback control method. The chaotic systems in the presence of an exponential terms behave differently from the polynomial chaotic systems, whose dynamics will also be different. The Routh-Hurwitz condition is used during chaos control and synchronization. The nonlinear ten-ring chaotic system, 3D chaotic system, new 3D chaotic system are considered to simulate the difference synchronization scheme for continuous case, and Wang, 3D Henon map and Rossler systems are considered during simulation of discrete time chaotic systems. The numerical simulations and the graphical results are presented to show the effectiveness and reliability of difference synchronization for continuous and discrete time chaotic systems. © 2019 Elsevier Ltd