Coupled Feedback Control of Chaos in the Qi System


Article Preview

The complex dynamics behavior of the four-dimensional Qi system is studied. The route to chaos of the system is studied by the time course diagram, phase portraits and Poincaré maps. We use a Coupled feedback strategy to control the chaotic motion towards regular motion. Numerical simulation shows the effectiveness and feasibility of the strategy to get rid of chaos by stabilizing the related unstable periodic orbit. This control method can be applied to other chaotic systems.



Key Engineering Materials (Volumes 480-481)

Edited by:

Yanwen Wu




J. Y. Wang and H. T. Wang, "Coupled Feedback Control of Chaos in the Qi System", Key Engineering Materials, Vols. 480-481, pp. 1368-1372, 2011

Online since:

June 2011




[1] Ott E, Grebogi C, York J A. Controlling chaos: Phys Rev Lett, 64(1990), pp.1196-1199.

[2] K. Pyragas and A. Tamasevicius. Experimental control of chaos by delay self-controlling feedback: Phys Lett A, 180(1993), pp.99-102.

[3] Sinhna S, Ramaswamy R, Subba Rao J. Adaptive control in nonlinear dynamic: Physica D, (1990), pp.118-128.

[4] Lima R, Pettini M. Suppression of Chaos by Resonant parametric perturbations: Phys Rev A , (1990), pp.726-728.


[5] Pyragas K. Continuous control of chaos by self-controlling feedback: Phys Lett A, (1992), pp.421-428.

[6] Braiman Y, Goldhirsch I. Taming chalic dynamic with weak perturbation: Phys Rev Lett, 66(1991), pp.2545-2548.


[7] Pabitra Mitra. Self-control of chaotic dynamics using LTI filters: IEEE Trans. Circuits and Systems-I, 47(2000), pp.1649-1652.


[8] Xinghuo Yu. Controlling Lorenz chaos: International Journal of System Science, 27(1996), pp.355-359.

[9] Qi Guoyuan, Du Shengzhi, Chen Guanrong et. On a Four-dimensional Chaotic System: Chaos, Solitons and Fractals, 23(2005), pp.671-1682.


[10] Qi Guoyuan, Chen Guanrong. Analysis and Circuit Implementation of a New 4D Chaotic System: Physics Letter A, 352(2006), pp.386-397.


Fetching data from Crossref.
This may take some time to load.