A general scheme for Q-S synchronization of chaotic systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 69, Issue 4, 2008, Pages 1091-1099

  Hu, Manfeng ^a   Xu, Zhenyuan ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

Hyper chaotic Chen system; Lorenz system; Lyapunov stability theory; Q S synchronization; Right inverse matrix; R ssler system

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; CONTROL THEORY; DYNAMICAL SYSTEMS; PAPER; STABILITY; SYNCHRONIZATION;

DIMENSIONAL SYSTEMS; ELSEVIER (CO); GENERAL (CO); LYAPUNOV STABILITY THEOREMS; NUMERICAL SIMULATIONS; PAPER ADDRESSES; RESPONSE SYSTEMS;

CHAOTIC SYSTEMS;

EID: 44649156300     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.06.038     Document Type: Article

References (25)

1. Fujisaka H., and Yamada T. Stability theory of synchronized motion in coupled-oscillator systems. Progr. Theoret. Phys. 69 (1983) 32-47
2. Perora L.M., and Carroll T.L. Synchronization in chaotic system. Phys. Rev. Lett. 64 (1990) 821-824
3. Wu X.Y., Guan Z.H., and Wu Z.P. Adaptive synchronization between two different hyperchaotic systems. Nonlinear Anal. 68 5 (2008) 1346-1351
4. Ucar A., Lonngren K.E., and Bai E.W. Chaos synchronization in RCL-shunted Josephson junction via active control. Chaos Solitons Fractals 31 (2007) 105-111
5. Rosenblum M.G., Pikovsky A.S., and Kurths J. From Phase to lag synchronization in coupled chaotic oscillators. Phys. Rev. Lett. 78 (1997) 4193-4196
6. Chiang T.-Y., et al. Anti-synchronization of uncertain unified chaotic systems with dead-zone nonlinearity. Nonlinear Anal. 68 9 (2008) 2629-2637
7. Hu M.F., Xu Z.Y., Zhang R., and Hu A.H. Parameters identification and adaptive full state hybrid projective synchronization of chaotic (hyper-chaotic) systems. Phys. Lett. A 361 (2007) 231-237
8. Rulkov N.F., Sushchik M.M., Tsimring L.S., and Abarbanel H.D.I. Generalized synchronization of chaos in directionally coupled chaotic systems. Phys. Rev. E 51 (1995) 980-994
9. Li F., Hu A.H., and Xu Z.Y. Generalized synchronization of two non-identical systems. Acta Phys. Sin. 50 (2006) 590-597 (in Chinese)
10. Boccaletti S., Kurths J., Osipov G., Valladares D.L., and Zhou C.S. The synchronization of chaotic systems. Phys. Rep. 366 (2002) 1-101
11. Yan Z.Y. Chaos Q-S synchronization between Rösler system and a new unified chaotic system. Phys. Lett. A 334 (2005) 406-412
12. Yan Z.Y. Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems-A symbolic-numeric computation approach. Chaos 15 (2005) 023902
13. Wang Q., and Chen Y. Generalized Q-S (lag, anticipated and complete) synchronization in modified Chua's circuit and Hindmarsh-Rose systems. Appl. Math. Comput. 181 (2006) 48-56
14. Yan Z.Y. Q-S (complete or anticipated) synchronization backstepping scheme in a class of discrete-time chaotic (hyperchaotic) systems: A symbolic-numeric computation approach. Chaos 16 (2006) 013119
15. Yang X.S. Concepts of synchronization in dynamical systems. Phys. Lett. A 260 (1999) 340-344
16. Wang C., and Ge S.S. Adaptive synchronization of uncertain chaotic systems via backstepping design. Chaos Solitons Fractals 12 (2001) 1199-1206
17. Rössler O.E. An equation for continuous chaos. Phys. Lett. A 57 (1976) 397-398
18. Lü J., Chen G., Cheng D., and Celikovsky S. Bridge the gap between the Lorenz system and Chen system. Internat. J. Bifur. Chaos 12 (2002) 2917-2926
19. Li Y.X., Tang W.K.S., and Chen G. Generating hyperchaos via state feedback control. Internat. J. Bifur. Chaos 10 (2005) 3367-3375
20. Bowong S., and McClintock P.V.E. Adaptive synchronization between chaotic dynamical systems of different order. Phys. Lett. A 358 (2006) 134-141
21. Hu M.F., Xu Z.Y., Zhang R., and Hu A.H. Adaptive full state hybrid projective synchronization of chaotic systems with the same and different order. Phys. Lett. A 365 (2007) 315-327
22. Zhang G., Liu Z.R., and Ma Z.J. Generalized synchronization of different dimensional chaotic dynamical systems. Chaos Solitons Fractals 32 (2007) 773-779
23. Ben-Israel A., and Greville T.N.E. Generalized Inverse: Theory and Applications (1974), John Wiley & Sons, New York
24. Fang B.R., Zhou J.D., and Li Y.M. Matrix Theory (2004), Tsinghua Univ. Press, Beijing pp. 256-262
25. Lorenz E.N. Deterministic non-periodic flows. J. Atmos. Sci. 20 (1963) 130-141