Control of chaotic neural networks based on contraction mappings

Chaos, Solitons and Fractals

Volumn 22, Issue 4, 2004, Pages 787-792

  Yu, Hongjie ^a   Liu, Yanzhu ^a   Peng, Jianhua ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NEURAL NETWORKS;

CHAOS CONTROL; CHAOTIC ATTRACTORS; CONTRACTION MAPPINGS;

CHAOS THEORY;

EID: 2442498715     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00258-3     Document Type: Article

References (17)

1. Ott E., Grebogi C., Yorke J.A. Controlling choas. Phys. Rev. Lett. 64:1990;1196-1199.
2. Ditto W.L., Rauseo S.N., Spano M.L. Experimental control of chaos. Phys. Rev. Lett. 65:1990;3211-3214.
3. Hunt E.R. Stabilizing high-period orbits in a chaotic system. Phys. Rev. Lett. 67:1991;1953-1955.
4. Garfinkel A., Spano M.L., Ditto W.L., Weiss J. Controlling cardiac chaos. Science. 257:1992;1230-1235.
5. Xu D., Bishop S.R. Self-locating control of chaotic systems using Newton algorithm. Phys. Lett. A. 210:1996;273-278.
6. Shinbrot T., Grebogi C., Ott E., Yorke J.A. Using small perturbations to control chaos. Nature. 363:1993;411-417.
7. Chen L.Q., Liu Y.Z. Chaotic attitude motion of a magnetic rigid spacecraft and its control. Int. J. Non-Linear Mech. 37:2002;493-504.
8. Chen L.Q., Liu Y.Z. A parametric open-plus-closed-loop approach to control chaos in nonlinear oscillations. Phys. Lett. A. 262:1999;350-357.
9. Chen L.Q., Liu Y.Z. A modified exact linearization control for chaotic oscillators. Nonlinear Dyn. 20:1999;309-317.
10. Ushio T. Chaotic synchronization and controlling chaos based on contraction mappings. Phys. Lett. A. 198:1995;14-22.
11. Aihara K., Takabe T., Toyoda M. Chaotic neural network. Phys. Lett. A. 144:1990;333-340.
12. Nara S., Davis P., Totsuji H. Memory search using complex dynamics in a recurrent neural network model. Neural networks. 6:1993;963-973.
13. Freeman W.J. Simulation of chaotic EEG patterns with a dynamic model of the olfactory system. Bifurcat. Chaos. 2:1992;451-482.
14. Pasemann F. Synchronized chaos and other coherent states for two coupled neurons. Physica D. 128:1999;236-249.
15. Schiff S.J., Jerger K., Duong D.H., Chang T., Spano M.L., Ditto W.L. Controlling chaos in the brain. Nature. 370:1994;615-620.
16. Solé R.V., Menéndez L., Prida D.L. Controlling chaos in discreteneural networks. Phys. Lett. A. 199:1995;65-69.
17. Sabbagh H. Control of chaotic solutions of the Hindmarsh-Rose equations. Chaos, Solitons & Fractals. 11:2000;1213-1218.