Authors : V. Sundarapandian and R. Karthikeyan
Abstract: In this study, researchers apply adaptive control method to derive new results for the anti- synchronization of identical Tigan Systems (2008), identical Li Systems (2009) and non-identical Tigan and Li Systems. In adaptive anti-synchronization of identical chaotic systems, the parameters of the master and slave systems are unknown and researchers devise feedback control law using the estimates of the system parameters. In adaptive anti-synchronization of non-identical chaotic systems, the parameters of the master system are known but the parameters of the slave system are unknown and researchers devise feedback control law using the estimates of the parameters of the slave system. The adaptive synchronization results derived in this study for the uncertain Tigan and Li Systems are established using Lyapunov Stability Theory. Since, the Lyapunov exponents are not required for these calculations, the adaptive control method is very effective and convenient to achieve anti-synchronization of identical and non-identical Tigan and Li Systems. Numerical simulations are shown to demonstrate the effectiveness of the adaptive anti-synchronization schemes for the uncertain chaotic systems addressed in this study.
V. Sundarapandian and R. Karthikeyan, 2012. Adaptive Anti-Synchronization of Uncertain Tigan and Li Systems. Journal of Engineering and Applied Sciences, 7: 45-52.