The synchronization method for fractional-order hyperchaotic systems |
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Authors: | Dali Feng Hongli An Haixing Zhu Yunfeng Zhao |
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Institution: | 1. College of Science, Nanjing Agricultural University, Nanjing 210095, PR China;2. College of Economics and Management, Nanjing Forestry University, Nanjing 210037, PR China |
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Abstract: | In this paper, a function cascade synchronization method for fractional-order hyperchaotic systems is introduced to achieve the synchronization of two identical fractional-order hyperchaotic systems. It is shown that the method is not only theoretically rigorous, practically feasible, but also a more general one, which contains the complete synchronization, modified projective synchronization and anti-phase synchronization. In order to valid the effectiveness of the proposed method, we give two illustrative examples. Suitable controllers are designed and the function cascade synchronization for fractional-order hyperchaotic systems is achieved. Numerical simulations are performed and shown to fit with our analysis results. |
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Keywords: | Chaos synchronization Fractional-order hyperchaotic system Function cascade synchronization scheme Stability theorem |
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