On chaos synchronization of a complex two coupled dynamos system

Chaos, Solitons and Fractals

Volumn 33, Issue 1, 2007, Pages 178-187

  Mahmoud, Gamal M ^a   Aly, Shaban A ^b   Farghaly, Ahmed A ^a  

^a Assiut University   (Egypt)

^b Assiut Branch   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CHAOS THEORY; FEEDBACK CONTROL; GAIN CONTROL; LYAPUNOV METHODS; SYNCHRONIZATION;

DYNAMOS SYSTEMS; INITIAL CONDITIONS;

CONTROL SYSTEM ANALYSIS;

EID: 33846807695     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.01.036     Document Type: Article

References (23)

1. Lakshmanan M., and Murali K. Chaos in Nonlinear Oscillators: Controlling and Synchronization (1996), World Scientific, Singapore
2. Blasius B., Huppert A., and Stone L. Complex dynamics and phase synchronization in spatially extended ecological system. Nature 399 (1999) 354-359
3. Wang C.C., and Su J.P. A new adaptive structure control for chaotic synchronization and secure communication. Chaos, Solitons & Fractals 20 (2004) 967-977
4. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys Rev Lett 64 8 (1990) 821-824
5. Pecora L.M., and Carroll T.L. Synchronizing chaotic circuits. IEEE Tans Cir Sys 38 (1991) 453-456
6. Chen G., and Dong X. From Chaos to Order: Methodologies, Perspectives and Applications (1998), World Scientific, Singapore
7. Dai E.W., and Lonngren K.E. Sequential synchronization of two Lorenz systems using active control. Chaos, Solitons & Fractals 11 (2000) 1041-1044
8. Wu X., and Lu J. Parameter identification and backstepping control of uncertain Lü system. Chaos, Solitons & Fractals 18 (2003) 721-729
9. Agiza H.N. Controlling chaos for the dynamical system of coupled dynamos. Chaos, Solitons & Fractals 13 (2002) 341-352
10. Agiza H.N. Chaos synchronization of two coupled dynamos systems with unknown system parameters. Int J Modern Phys C 15 6 (2004) 873-883
11. Lei Y., Xu W., Shen J., and Fang T. Global synchronization of two parametrically excited systems using active control. Chaos, Solitons & Fractals 28 (2006) 428-436
12. Jayaram A., and Tadi M. Synchronization of chaotic systems based on SDRE method. Chaos, Soliton & Fractals 28 (2006) 707-715
13. Park J.H. Chaos synchronization of a chaotic system via nonlinear control. Chaos, Solitons & Fractals 25 (2005) 579-584
14. Wang Y., Guan Z.H., and Wang H.O. Feedback an adaptive control for the synchronization of Chen system via a single variable. Phys Lett A 312 (2003) 34-40
15. Yang X.S., and Chen G. Some observer-based criteria for discrete-time generalized chaos synchronization. Chaos, Solitons & Fractals 13 (2002) 1303-1308
16. Chen M., and Han Z. Controlling and synchronizing feedback control. Chaos, Solitons & Fractals 17 (2003) 709-716
17. Huang L., Feng R., and Wang M. Synchronization of chaotic systems via nonlinear control. Phys Lett. A 320 (2004) 271-275
18. Gibbon J.D., and McGuinness M.J. The real and complex Lorenz equations in rotating fluids and lasers. Physica D5 (1982) 108-122
19. Vladinirov A.G., Tornov V.Y., and Derbov V.L. The complex Lorenz model: geometric structure, homoclinic bifurcation and one-dimensional map. Int J Bifurcat Chaos 8 4 (1998) 723-729
20. Mahmoud G.M., and Bountis T. The dynamics of system of complex nonlinear oscillators: a review. Int J Bifurcat Chaos 14 11 (2004) 3821-3846
21. Jiang G.-P., Tang K.S., and Chen G. A simple global synchronization criterion for coupled chaotic systems. Chaos, Solitons & Fractals 15 (2003) 925-935
22. Mahmoud GM, Aly SA, Al-Kashif MA. Basic properties and chaotic synchronization of complex Lorenz system, has been accepted for publication in IJMPC, 2006.
23. Mahmoud GM, Bountis T, Mahmoud EE. Active control and global synchronization of complex Chen and Lü systems. Int J Bifurcat Chaos. Submitted for publication.