Chaos and chaotic control in a fractional-order electronic oscillator

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.