Chaos synchronization of Lü dynamical system

Nonlinear Analysis, Theory, Methods and Applications

Volumn 58, Issue 1-2, 2004, Pages 11-20

  Agiza, H N ^a  

^a Mansoura University   (Egypt)

Author keywords

Adaptive control; L chaotic system; One way coupling; Synchronization

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; NONLINEAR PROGRAMMING; SYNCHRONIZATION; VECTORS;

ADAPTIVE CONTROL; CHAOS SYNCHRONIZATION; LÜ CHAOTIC SYSTEMS; ONE-WAY COUPLING;

CHAOS THEORY;

EID: 3042599342     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.04.002     Document Type: Article

References (20)

1. Agiza H.N., Yassen M.T. Synchronization of two Rossler and Chen chaotic dynamical systems using active control. Phys. Lett. A. 278:2001;191-197.
2. Bai E.W., Lonngren K.E. Sequential synchronization of two Lorenz system using active control. Chaos Solitons Fractals. 11:2000;1041-1044.
3. Carroll T.L., Pecora L.M. Synchronization chaotic systems. IEEE Trans. Circuits Syst. 38:1991;453-456.
4. G. Chen, T. Ueta, Yet another chaotic attractor, Int. J. Bifur. Chaos 9 (1999) 1465-1466.
5. Chen S., Lü J. Synchronization of an uncertain unified chaotic system via adaptive control. Chaos Solitons Fractals. 14:2002;643-647.
6. Cuomo K.M., Oppenheim A.V. Circuit Implementation of synchronized chaos with applications to communications. Phys. Rev. Lett. 71:1993;65-68.
7. Hegazi A.S., Agiza H.N., El-Dessoky M. Adaptive synchronization for Rossler and Chua's circuit systems. Int. J. Bifur. Chaos. 12(7):2002;1579-1597.
8. Itoh M., Wu C., Chua L. Communication Systems via Chaotic Signals from a Reconstruction Viewpoint. Int. J. Bifur. Chaos. 7:1997;275-286.
9. T. Kapitaniak, Controlling Chaos: Theoretical and Practical Methods in Nonlinear Dynamics, Academic Press, London, 1996.
10. Kocarev L., Parlitz U. General approach for chaotic synchronization with applications to communications. Phys. Rev. Lett. 74:1995;5028-5031.
11. Li Z., Han C., Shi S. Modification for synchronization of Rossler and Chen chaotic systems. Phys. Lett. A. 301:2002;224-230.
12. T. Liao, Adaptive synchronization of chaotic systems and its application to secure communications, Chaos Solitons Fractals 11 (1998) 1387-1396.
13. T. Liao, S. Lin, Adaptive control and sychronization of Lorenz systems, J. Franklin Institute 336 (1999) 925-937.
14. Lorenz E.N. Deterministic non-periodic flows. J. Atoms Sci. 20:1963;130-141.
15. Lu J., Chen G., Zhang S. A new chaotic attractor coined. Int. J. Bifur. Chaos. 12:2002;1001-1015.
16. Lu J., Chen G., Zhang S. The compound structure of a new chaotic attractor. Chaos Solitons Fractals. 14:2002;669-672.
17. Lü J., Zhou T., Zhang S. Chaos synchronization between linearly coupled chaotic systems. Chaos Solitons Fractals. 14:2002;529-541.
18. K. Murali, M. Lakshmanan, Chaos in nonlinear oscilators controlling and synchronization, World Scientific, Singapore, 1996.
19. Pecora L.M., Carroll T.L. Synchronization of chaotic systems. Phys. Rev. Lett. 64(8):1990;821-830.
20. Wang W., Guan Z., Wang H. Feedback and adaptive control for the synchronization of Chen system via a single variable. Phys. Lett. A. 312:2003;40-43.