中国物理B ›› 2005, Vol. 14 ›› Issue (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　　　　　

虞厥邦1, 高心2   

  1. (1)School of Electronic Engineering, University of Electronics Science and Technology of China, Chengdu, Sichuan 610054, China; (2)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
  • 收稿日期:2004-07-15 修回日期:2005-01-10 出版日期:2005-05-19 发布日期:2005-05-19

Chaos and chaotic control in a fractional-order electronic oscillator

Gao Xin (高心)ab, Yu Jue-Bang (虞厥邦)a   

  1. a School of Electronic Engineering, University of Electronics Science and Technology of China, Chengdu, Sichuan 610054, China; b School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu, Sichuan 610041, China
  • Received:2004-07-15 Revised:2005-01-10 Online:2005-05-19 Published:2005-05-19

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摘要： 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.

关键词: fractional order, chaos, chaotic control, adaptive backstepping

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.

Key words: fractional order, chaos, chaotic control, adaptive backstepping

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  • 0545