Abstract
This paper aims to investigate the phenomenon of Diffusionless Lorenz system with fractional-order. We discuss the stability of equilibrium points of the fractional-order system theoretically, and analyze the chaotic behaviors and typical bifurcations numerically. We find rich dynamics in fractional-order Diffusionless Lorenz system with appropriate fractional order and system parameters. Besides, the control problem of fractional-order Diffusionless Lorenz system is examined using feedback control technique, and simulation results show the effectiveness of the method.
| Original language | English |
|---|---|
| Article number | 1250088 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 22 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2012 |
Keywords
- bifurcations
- chaotic behaviors
- control
- diffusionless Lorenz system
- Fractional-order