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On the synchronization of different chaotic oscillators
Institution:1. Department of Physics, National University of Singapore, Singapore 119260, Singapore;2. Department of Computational Science, National University of Singapore, Singapore 119260, Singapore;1. School of Science, Jiangnan University, Wuxi 214122, People’s Republic of China;2. Department of Electrical Engineering, Yeungnam University, Kyongsan 38541, Republic of Korea;3. School of Mathematics, Southeast University, Nanjing 210096, People’s Republic of China;1. School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China;2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;3. School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, China
Abstract:The synchronization of two different chaotic oscillators is studied, based on an open-loop control – the entrainment control. We consider two types of synchronization: complete synchronization and effectively complete synchronization. The sufficient conditions that two different systems can be synchronized by this method is discussed. Furthermore, a hierarchical idea to synchronize multiple chaotic subsystems is proposed.
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