On the synchronization of uncertain chaotic systems

Chaos, Solitons and Fractals

Volumn 33, Issue 2, 2007, Pages 540-546

  Ho, Ming Chung ^a   Hung, Yao Chen ^a,b   Jiang, I Min ^a,b  

^a NATIONAL KAOHSIUNG NORMAL UNIVERSITY   (Taiwan)

^b NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CONTROL THEORY; PARAMETER ESTIMATION; SYNCHRONIZATION;

CHEN SYSTEMS; LORENZ SYSTEMS; UNCERTAIN CHAOTIC SYSTEMS;

UNCERTAIN SYSTEMS;

EID: 33847071934     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.12.035     Document Type: Article

References (27)

1. Cuomo K.M., and Oppenheim A.V. Circuit implementation of synchronized chaos with applications to communications. Phys Rev Lett 71 (1993) 65-68
2. Perez G., and Cedeira H. Extracting messages masked by chaos. Phys Rev Lett 74 (1995) 1970-1973
3. Collins J.J., and Stewart I. Coupled nonlinear oscillators and the symmetries of animal gaits. J Nonlinear Sci 3 (1993) 349-392
4. Wang H., Lu Q., and Wang Q. Generation of firing rhythm patterns and synchronization in the Morris-Lecar neuron model. Int J Nonlinear Sci Numer Simul 6 1 (2005) 7-12
5. Hohl A., Gavrielides A., Erneux T., and Kovanis V. Localized synchronization in two coupled nonidentical semiconductor lasers. Phys Rev Lett 78 (1997) 4745-4748
6. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys Rev Lett 64 8 (1990) 821-824
7. Pecora L.M., and Carroll T.L. Driving systems with chaotic signals. Phys Rev A 44 (1991) 2374-2383
8. Kocarev L., and Parlitz U. General approach for chaotic synchronization with applications to communication. Phys Rev Lett 74 (1995) 5028-5031
9. Guemez J., and Matias M.A. Modified method for synchronizing and cascading chaotic systems. Phys Rev E 52 (1995) R2145-R2148
10. Liao T.-L., and Huang N.-S. Control and synchronization of discrete-time chaotic systems via variable structure control technique. Phys Lett A 234 (1997) 262-268
11. Liao T.-L. Adaptive synchronization of two Lorenz systems. Chaos, Solitons & Fractals 9 (1998) 1555-1561
12. Ho M.-C., and Hung Y.-C. Synchronization of two different systems by using generalized active control. Phys Lett A 301 (2002) 424-428
13. Huang L., Feng R., and Wang M. Synchronization of chaotic systems via nonlinear control. Phys Lett A 320 (2004) 271-275
14. Yassen M.T. Chaos synchronization between two different chaotic systems using active control. Chaos, Solitons & Fractals 23 (2005) 131-140
15. Bai E.-W., and Lonngren K.E. Synchronization of two Lorenz systems using active control. Chaos, Solitons & Fractals 8 (1997) 51-58
16. Ho M.-C., Hung Y.-C., and Chou C.-H. Phase and anti-phase synchronization of two chaotic systems by using active control. Phys Lett A 296 (2002) 43-48
17. Kang Y., Xu J., and Jin W. Stochastic synchronization and aperiodic stochastic resonance of a unidirectionally coupled single-mode optical system. Int J Nonlinear Sci Numer Simul 6 1 (2005) 19-24
18. Ho M.-C., Hung Y.-C., and Jiang I.-M. Synchronization between two chaotic systems with different order by using active control. Int J Nonlinear Sci Numer Simul 6 3 (2005) 249-254
19. Chen S.-H., and Lü J.-H. Synchronization of an uncertain unified chaotic system via adaptive control. Chaos, Solitons & Fractals 14 (2002) 643-647
20. Chen S.-H., and Lü J.-H. Parameters identification and synchronization of chaotic systems based upon adaptive control. Phys Lett A 299 (2002) 353-358
21. Yu Y.-G., and Zhang S.-C. Controlling uncertain Lü system using backstepping design. Chaos, Solitons & Fractals 15 (2003) 897-902
22. Elmetwally M.E., Hamdy N.A., and Mohamed M.E.-D. Controlling and synchronization of Rössler system with uncertain parameters. Int J Nonlinear Sci Numer Simul 5 2 (2004) 171-182
23. Park J.H. Adaptive synchronization of a unified chaotic system with an uncertain parameter. Int J Nonlinear Sci Numer Simul 6 2 (2005) 201-206
24. Ho M.-C., Hung Y.-C., Liu Z.-Y., and Jiang I.-M. Reduced-order synchronization of chaotic systems with parameters unknown. Phys Lett A 348 (2006) 251-259
25. Yan J.-P., and Li C.-P. On synchronization of three chaotic systems. Chaos, Solitons & Fractals 23 (2005) 1683-1688
26. Zhou T., Tang Y., and Chen G. Complex dynamical behaviors of the chaotic Chen's system. Int J Bifur Chaos 13 (2003) 2561-2574
27. Ueta T., and Chen G. Bifurcation analysis of Chen's equation. Int J Bifur Chaos 10 (2000) 1917-1931