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| Projective synchronization in a time-delayed drive-response complex dynamical network with different scale factors |
| 1.Faculty of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212003, China; 2.Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China |
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Abstract The projective synchronization of time-delayed drive-response dynamical network was investigated.The nodes did not need to be partially linear, and the scale factors might be different from each other. The scale factors were discussed under limited and unlimited conditions. Based on the Lyapunov stability theorem and impulsive control method, some projective synchronization rules of drive-response dynamical network with different scale factors were proposed.The synchronization was realized without any extra controller under limited conditions, while under unlimited conditions,it just needed a simple control to every node. The drive-response network was simulated through time-delayed Hopfield neural network as nodes dynamics. The validity of these synchronization criteria is proved by theoretical analysis and numerical simulation results.
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2011, Vol. 32 
