Chaos and chaotic control in a fractional-order electronic oscillator
Gao Xin (高心)ab, Yu Jue-Bang (虞厥邦)a
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
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.
Received: 15 July 2004
Revised: 10 January 2005
Accepted manuscript online:
PACS:
0545
Cite this article:
Gao Xin (高心), Yu Jue-Bang (虞厥邦) Chaos and chaotic control in a fractional-order electronic oscillator 2005 Chinese Physics 14 908
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