Chaotic Control in a Fractional-Order Modified Van Der Pol Oscillator
The dynamics of fractional-order systems have attracted increasing attention in recent years. In this paper, we study the chaotic behaviors in a fractional-order modified van der Pol oscillator. We find that chaos exists in the fractional-order modified van der Pol oscillator with order less than 3. In addition, the lowest order we find for chaos to exist in such system is 2.4. Finally, a simple, but effective, linear feedback controller is also designed to stabilize the fractional order chaotic van der Pol oscillator.
X. Gao "Chaotic Control in a Fractional-Order Modified Van Der Pol Oscillator", Key Engineering Materials, Vols. 474-476, pp. 83-88, 2011