Lag projective synchronization of a class of complex network constituted nodes with chaotic behavior |
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| Institution: | 1. Department of Mathematics, Anna University-Regional Centre, Coimbatore 641047, India;2. Department of Mathematics, Sri Ramakrishna Institute of Technology, Coimbatore 641010, India;3. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea;4. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 712-749, Republic of Korea;1. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea;2. Department of Mathematics, Periyar University, Salem-636 011, India;3. Department of Mathematics, Anna University–Regional Centre, Coimbatore 641 047, India;1. Department of Mathematics, Bharathiar University, Coimbatore 641 046, India;2. Department of Mathematical Sciences, College of Science, UAE University, Al-Ain 15551, UAE;1. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;2. Department of Mathematics, Bharathiar University, Coimbatore-641 046, India;3. Department of Mathematics, Sungkyunkwan University, Suwon-440 746, Republic of Korea |
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| Abstract: | In this paper, a method of the lag projective synchronization of a class of complex network constituted nodes with chaotic behavior is proposed. Discrete chaotic systems are taken as nodes to constitute a complex network and the topological structure of the network can be arbitrary. Considering that the lag effect between network node and chaos signal of target system, the control input of the network and the identification law of adjustment parameters are designed based on Lyapunov theorem. The synchronization criteria are easily verified. |
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| Keywords: | Projective synchronization Complex network Chaos Lyapunov theorem |
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