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Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation
Authors:Zhang Ruo-Xun and Yang Shi-Ping
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
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.
Keywords:chaos   fractional-order generalized Lorenz chaotic system   circuit simulation   synchronization
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