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Synchronous Control Between Unified Chaotic System and Its Modified System Based on Intermittent Feedback |
Sun Ke-hui①; Shang Fang①; Zhong Ke①; Sheng Zhe② |
①School of Physics Science and Technology, Central South University, Changsha 410083, China;
②School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, China |
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Abstract The synchronization issue between unified chaotic system and its modified system is studied by employing intermittent feedback control. After properly designing intermittent feedback controller, the practical stability of synchronization systems is equivalent to that of the origin of the error dynamic system equation. A synchronization theorem, which satisfies the synchronization condition, is developed based on the stability theorem of the continuous systems and our simulation experiments. The synchronization performances with different initial value X(0) and Y(0), coefficient k, ratio D, step h and parameter α are discussed in detail. A security communication system based on chaotic masking method is designed and simulated by applying the scheme of intermittent feedback synchronization. Simulation experiments proved the effectiveness of the synchronization approach.
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Received: 02 July 2007
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