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Chin. Phys., 2005, Vol. 14(5): 908-913    DOI: 10.1088/1009-1963/14/5/009
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Chaos and chaotic control in a fractional-order electronic oscillator     

Yu Jue-Banga, Gao Xinb
a School of Electronic Engineering, University of Electronics Science and Technology of China, Chengdu, Sichuan 610054, China; b School of Electronic Engineering, University of Electronics Science and Technology of China, Chengdu, Sichuan 610054, China;School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu, Sichuan 610041, China
Abstract   In this paper, we study the chaotic behaviours in a fractional-order chaotic electronic oscillator . We find that chaos exists in the fractional-order electronic oscillator with an order being less than 3. In addition, we numerically simulate the continuances of the chaotic behaviours in the electronic oscillator with orders from 2.8 to 3.2. Finally, we further investigate the method of controlling a fractional-order electronic oscillator based on adaptive backstepping. Numerical simulations show the effectiveness and feasibility of this approach.
Keywords:  chaos      adaptive backstepping      fractional order      chaotic control  
Received:  15 July 2004      Revised:  10 January 2005      Published:  19 May 2005
PACS:  0545  

Cite this article: 

Yu Jue-Bang, Gao Xin Chaos and chaotic control in a fractional-order electronic oscillator      2005 Chin. Phys. 14 908

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