Simplified Lyapunov Exponent Method for synchronization of two Tent map systems

Chaotic systems are dynamical systems with unpredictable trajectory. Two chaotic systems, even if started at almost same initial conditions, would gradually lead to two completely unrelated trajectories. So, by nature chaotic systems defy synchronization. Now a day, chaotic systems are providing immense field of research due to their probable application in secured communication and cryptography. For this purpose chaotic systems must be synchronized. It is possible if two chaotic systems exchange information about a given common parameter to adjust to behave identically. In this paper, we have synchronized two Tent map Systems. There is a master system which controls a slave system and gradually synchronization is achieved by applying Simplified Lyapunov Exponent Method.