Adaptive modified function projective synchronization of multiple time-delayed chaotic Rossler system |
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Authors: | K Sebastian Sudheer M Sabir |
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Institution: | a Department of Physics, Christ College, Irinjalakuda, Thrissur 680125, India b Department of Physics, Cochin University of Science and Technology, Cochin 682022, India |
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Abstract: | In this Letter we consider modified function projective synchronization of unidirectionally coupled multiple time-delayed Rossler chaotic systems using adaptive controls. Recently, delay differential equations have attracted much attention in the field of nonlinear dynamics. The high complexity of the multiple time-delayed systems can provide a new architecture for enhancing message security in chaos based encryption systems. Adaptive control can be used for synchronization when the parameters of the system are unknown. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the state of two chaotic systems are function projective synchronized. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive controllers. |
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Keywords: | Chaos synchronization Projective synchronization Function projective synchronization Modified function projective synchronization Multiple time-delayed Rossler system Rossler system Adaptive control |
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