Anti-synchronization of Li and T chaotic systems by active nonlinear control

Abstract

The purpose of this paper is to study chaos anti-synchronization of identical Li chaotic systems (2009), identical T chaotic systems (2008) and non-identical Li and T chaotic systems. In this paper, sufficient conditions for achieving anti-synchronization of the identical and non-identical Li and T systems are derived using active nonlinear control and our stability results are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active nonlinear feedback control method is effective and convenient to anti-synchronize the identical and non-identical Li and T chaotic systems. Numerical simulations are also given to illustrate and validate the anti-synchronization results for the chaotic systems addressed in this paper. © 2011 Springer-Verlag.