1. CHAOS IN DIFFUSIONLESS LORENZ SYSTEM WITH A FRACTIONAL ORDER AND ITS CONTROL.
- Author
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XU, YONG, GU, RENCAI, ZHANG, HUIQING, and LI, DONGXI
- Subjects
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CHAOS theory , *LORENZ equations , *FRACTIONAL calculus , *BIFURCATION theory , *CONTROL theory (Engineering) , *COMPUTER simulation , *DIFFERENTIAL equations - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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