Adaptive synchronization and anti-synchronization of TSUCS and Lü unified chaotic systems with unknown parameters

This paper is devoted to adaptive synchronization and anti-synchronization between the TSUCS and the Lü, two unified chaotic systems. It is assumed that the parameters of the both systems are unknown. A designed controller based on Lyapanov candidate theorem is introduced for adaptive synchronization/anti-synchronization of two different unified chaotic systems and is used for adjusting estimation parameters until the measurable errors converge to zero. The stability evaluation and convergence analysis is carried out by Lyapanov stability theorem. Finally, some numerical simulations are presented to assess the behavior of the synchronization procedure and to verify the effectiveness of the theoretical analysis.