Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation
Zhang Ruo-Xun(张若洵)a)b)c) and Yang Shi-Ping (杨世平)a)b)†
a College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China; b Hebei Advanced Thin Films Laboratory, Shijiazhuang 050016, China; c 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.
Received: 15 August 2008
Revised: 07 January 2009
Accepted manuscript online:
Fund: Project supported by the Natural
Science Foundation of Hebei Province, China (Grant Nos A2008000136
and A2006000128).
Cite this article:
Zhang Ruo-Xun(张若洵) and Yang Shi-Ping (杨世平) Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation 2009 Chin. Phys. B 18 3295
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