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Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation
Authors:Zhang Ruo-Xun and Yang Shi-Ping
Institution:College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China;Hebei Advanced Thin Films Laboratory, Shijiazhuang 050016, China; 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 Lorenz system and its synchronization are studied in this paper. A new electronic circuit unit to realize fractional-order operator is proposed. According to the circuit unit, an electronic circuit is designed to realize a 3.8-order generalized Lorenz chaotic system. Furthermore, synchronization between two fractional-order systems is achieved by utilizing a single-variable feedback method. Circuit experiment simulation results verify the effectiveness of the proposed scheme.
Keywords:chaos  fractional-order generalized Lorenz chaotic system  circuit simulation  synchronization
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