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Generalized and projective synchronization in modulated time-delayed systems |
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| Authors: | Dibakar Ghosh Santo Banerjee A Roy Chowdhury |
| Institution: | a Department of Mathematics, Dinabandhu Andrews College, Garia, Calcutta 700 084, India b Department of Mathematics, Politecnico di Torino, Torino, Italy c Micro and Nanotechnology Division, Techfab s.r.l., Chivasso, Italy d High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta 700032, India |
| Abstract: | In this Letter, we propose a method for generalized and projective synchronization in modulated time-delayed systems using nonlinear active control. Sufficient condition for generalized synchronization is calculated analytically by Krasovskii-Lyapunov stability theory. The validity of the proposed algorithm has been confirmed by simulation results. The proposed method helps to find the explicit form of the functional relation between the synchronized variables, for which very few formulations are known at the present moment. Both usual and lag-anticipatory cases can be treated on the same footing. |
| Keywords: | Generalized synchronization Projective synchronization Nonlinear active control Delay system Modulated delay time Krasovskii-Lyapunov theory |
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