Adaptive reduced-order anti-synchronization of chaotic systems with fully unknown parameters |
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Institution: | 1. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;2. Potsdam Institute for Climate Impact Research, Potsdam 14473, Germany;3. State Key Laboratory of Public Big Data, Guizhou 550025, China |
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Abstract: | In this paper, we investigate the reduced-order anti-synchronization of uncertain chaotic systems. Based upon the parameters modulation and the adaptive control techniques, we show that dynamical evolution of third-order chaotic system can be anti-synchronized with the canonical projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to two examples: hyperchaotic Lorenz system (fourth-order) and Lorenz system (third-order); Lü hyperchaotic system (fourth-order) and Chen system (third-order). Theoretical analysis and numerical simulations are shown to verify the results. |
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