Synchronization between two different time-delayed systems and image encryptionS. Banerjee1, 2, D. Ghosh1, 3, A. Ray1 and A. Roy Chowdhury1
1 High Energy Physics Division, Department of Physics, Jadavpur University - Kolkata - 700 032, India
2 Department of Mathematics, JIS College of Engineering, Block-A, Phase-3 - Kalyani, West Bengal, India
3 Department of Mathematics, Dinabandhu Andrews College - Garia, Kolkata - 700 084, India
received 13 September 2007; accepted in final form 9 November 2007; published January 2008
published online 17 December 2007
In this letter we investigate the method of synchronization between two different time-delayed systems. A suitable controller is chosen using the active control method where the parameters of the driving and response systems are all known and kept into their corresponding chaotic state. Sufficient conditions for synchronization are also shown analytically using the Krasovskii-Lyapunov functional approach. Numerical results show the effectiveness of the proposed method. Later this synchronization method is used for building a robust cryptosystem which can transmit an encrypted image.
05.45.Pq - Numerical simulations of chaotic systems.
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