Synchronization of the near-identical chaotic systems with the unknown parameters

Applied Mathematical Modelling

Volumn 34, Issue 7, 2010, Pages 1788-1797

  Mu, Xiaowu ^a   Pei, Lijun ^a  

^a ZHENGZHOU UNIVERSITY   (China)

Author keywords

Chaotic systems; Near identical; Synchronization; Unknown parameters

Indexed keywords

NEAR-IDENTICAL; PARAMETER UPDATE LAW; THEORETICAL RESULT; UNKNOWN PARAMETERS;

CHAOTIC SYSTEMS; COMPUTER SIMULATION;

SYNCHRONIZATION;

EID: 77954028918     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2009.09.023     Document Type: Article

References (25)

1. Boccalatti S., et al. The sychronization of chaotic systems. Phys. Rep. 2003, 366(1-2):1-101.
2. Pecora L.M., et al. Fundamentals of synchronization in chaotic system, concepts and application. Chaos 1997, 7(4):520-543.
3. Blekhman I.I. Synchronization in Science and Technology 1988, ASME Press, New York.
4. Blekhman I.I., Landa P.S., Rosenblum M.G. Synchronization and chaotization in interacting dynamical system. Appl. Mech. Rev. 1995, 48(11):733-752.
5. Pecora L.M., Carron T.L. Synchronization in chaotic system. Phys. Rev. Lett. 1990, 64:821-823.
6. Rosenblum M.G., Pikovsky A.S., Kurths J. Phase synchronization of chaotic oscillators. Phys. Rev. Lett. 1996, 76(11):1840-1847.
7. Voss H.U. Anticipating chaotic synchronization. Phys. Rev. E 2000, 61(5):5115-5119.
8. Masoller C. Anticipation in the synchronization of chaotic time-delay systems. Physica A 2001, 295(1-2):301-304.
9. Hohl A., et al. Quasiperiodic synchronization for two delay-coupled semiconductor lasers. Phys. Rev. A 2000, 59(5):27-28.
10. Shahverdiev E.M., Sivaprakasam S., Shore K.A. Lag synchronization in time-delayed systems. Phys. Lett. A 2002, 292(6):320-324.
11. Shahverdiev E.M., et al. Inverse chaos synchronization in linearly and nonlinearly coupled systems with multiple time-delays. Chaos Soliton Fract. 2006, 29(4):838-844.
12. Rulkov V.S., et al. Generalized synchronization of chaos in directionally coupled chaotic system. Phys. Rev. E 1995, 51(2):980-994.
13. Yau H.T. Generalized projective chaos synchronization of gyroscope systems subjected to dead-zone nonlinear inputs. Phys. Lett. A 2008, 372:2380-2385.
14. Yau H.T., Yan J.J. Chaos synchronization of different chaotic systems subjected to input nonlinearity. Appl. Math. Comput. 2008, 197:775-788.
15. Yau H.T. Nonlinear rule-based controller for chaos synchronization of two gyros with linear-plus-cubic damping. Chaos Soliton Fract. 2007, 34(4):1357-1365.
16. Yau H.T., Kuo C.L., Yan J.J. Fuzzy sliding mode control for a class of chaos synchronization with uncertainties. Int. J. Nonlinear Sci. Numer. Simulat. 2006, 7(2):333-338.
17. Yau H.T., Lin J.S., Yan J.J. Synchronization control for a class of chaotic systems with uncertainties. Int. J. Bifurcat. Chaos 2005, 15(7):2235-2246.
18. Yau H.T. Design of adaptive sliding mode controller for chaos synchronization with uncertainties. Chaos Soliton Fract. 2004, 22(2):341-347.
19. Cruz-Hernández C., Romero-Haros N. Communicating via synchronized time-delay Chua's Circuit. Commun. Nonlinear Sci. Numer. Simulat. 2008, 13(3):645-659.
20. Shu Y.L., Zhang A.B., Tang B.D. Switching among three different kinds of synchronization for delay chaotic systems. Chaos Soliton Fract. 2005, 23(2):563-571.
21. Salarieh H., Shahrokhi M. Adaptive synchronization of two different chaotic systems with time varying unknown parameters. Chaos Soliton Fract. 2008, 37(1):125-136.
22. Salarieh H., Alasty A. Adaptive control of chaotic systems with stochastic time varying unknown parameters. Chaos Soliton Fract. 2008, 38(1):168-177.
23. Wang Z.L. Anti-synchronization in two non-identical hyper-chaotic systems with known or unknown parameter. Commun. Nonlinear Sci. Numer. Simulat. 2008, 10.1016/j.cnsns.2008.06.027.
24. Narendra K.S., Annaswamy A.M. Stable Adaptive Systems 1989, Prentice-Hall, New Jersey.
25. Sira-Ramíre Z.H., Cruz-Hernández C. Synchronization of chaotic systems: a generalized Hamiltonian systems approach. Int. J. Bifurcat. Chaos 2001, 11(5):1381-1395.