Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation |
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Authors: | Zhang Ruo-Xun and Yang Shi-Ping |
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Affiliation: | College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China; Hebei Advanced Thin Films Laboratory, Shijiazhuang 050016, China; College of Elementary Education, Xingtai University, Xingtai 054001, China |
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Abstract: | The chaotic behaviours of a fractional-order generalized Lorenzsystem and its synchronization are studied in this paper. A newelectronic circuit unit to realize fractional-order operator isproposed. According to the circuit unit, an electronic circuit isdesigned to realize a 3.8-order generalized Lorenz chaotic system.Furthermore, synchronization between two fractional-order systems isachieved by utilizing a single-variable feedback method. Circuitexperiment simulation results verify the effectiveness of theproposed scheme. |
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Keywords: | chaos fractional-order generalized Lorenz chaotic system circuit simulation synchronization |
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