Realization of fractional-order Liu chaotic system by circuit |
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Authors: | Lu Jun-Jie and Liu Chong-Xin |
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Institution: | Institute of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
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Abstract: | In this paper, chaotic behaviours in the fractional-order Liu system
are studied. Based on the approximation theory of fractional-order
operator, circuits are designed to simulate the fractional- order
Liu system with $q=0.1-0.9$ in a step of 0.1, and an experiment has
demonstrated the 2.7-order Liu system. The simulation results prove
that the chaos exists indeed in the fractional-order Liu system with
an order as low as 0.3. The experimental results prove that the
fractional-order chaotic system can be realized by using hardware
devices, which lays the foundation for its practical applications. |
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Keywords: | fractional-order Liu system circuit simulation circuit experiment |
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