Generalized projective synchronization of a class of hyperchaotic systems based on state observer

Communications in Nonlinear Science and Numerical Simulation

Volumn 17, Issue 2, 2012, Pages 953-963

  Wang, Xing Yuan ^a   Fan, Bing ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Generalized projective synchronization; Hyperchaotic system; State observer

Indexed keywords

CHAOTIC SYSTEMS; LYAPUNOV METHODS; STATE ESTIMATION;

GENERALIZED PROJECTIVE SYNCHRONIZATION; HYPER-CHAOTIC SYSTEMS; HYPERCHAOTIC; LYAPUNOV EXPONENT; ON STATE; SIMPLE++; STATES OBSERVER;

SYNCHRONIZATION;

EID: 80052385270     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.06.016     Document Type: Article

References (19)

1. Pecora L.M., Carroll T.L. Synchronization of chaotic systems. Phys Rev Lett 1990, 64(8):821-824.
2. Cheng G.R., Lü J.H. Dynamics analyse, control and synchronization in lorenz systems 2003, Science Press, Beijing, p. 185-258.
3. Guan X.P., Fan Z.P., Chen C.L., Hua C.C. Chaotic control and its application on secure communication 2002, National Defence Industry Press, Beijing, p. 168-225.
4. Wang X.Y. Chaos in the complex nonlinearity system 2003, Electronics Industry Press, Beijing, p. 91-113.
5. Li Ch.D., Liao X.F., Wong K.W. Lag synchronization of hyperchaos with application to secure communications. Chaos Solitons Fract 2005, 23(1):183-193.
6. Ho M.C., Hung Y.C., Chou C.H. Phase and anti-phase synchronization of two chaotic systems by using active control. Phys Lett A 2002, 296(1):43-48.
7. Vasegh N., Khellat F. Projective synchronization of chaotic time-delayed systems via sliding mode controller. Chaos Solitons Fract 2009, 42(2):1054-1061.
8. Li G.H. Generalized projective synchronization between Lorenz system and Chen's system. Chaos Solitons Fract 2007, 32(4):1454-1458.
9. Fenga C.F., Zhang Y., Suna J.T., Qia W., Wanga Y.H. Generalized projective synchronization in time-delayed chaotic systems. Chaos Solitons Fract 2008, 38(3):743-747.
10. Wen G., Xu D. Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems. Chaos Solitons Fract 2005, 26(1):71-77.
11. H Li G. Generalized projective synchronization of two chaotic systems by using active control. Chaos Solitons Fract 2006, 30(1):77-82.
12. Chee C.Y., Xu D. Secure digital communication using controlled projective synchronisation of chaos. Chaos, Solitons Fract 2005, 23(3):1063-1070.
13. Wang Z.L. Projective synchronization of hyperchaotic Lü system and Liu system. Nonlinear Dynam 2010, 59(3):455-462.
14. Tama L.M., Chenb J.H., Chenc H.K., Toua W.M.S. Generation of hyperchaos from the Chen-Lee system via sinusoidal perturbation. Chaos Solitons Fract 2008, 38(3):826-839.
15. Grassi G.O. Observer-based hyperchaos synchronization in cascaded discrete-time systems. Chaos Solitons Fract 2009, 40(2):1029-1039.
16. Zhang Z.W., Li H. The Chen's synchronization based on state observer. Comput Simul 2005, 26(4):198-201.
17. Zhou L.J., Duan Y.B. The hyperchaotic synchronous secure communication based on state observer. Sci Technol Eng 2010, 10(23):5648-5651.
18. Chen A., Lu J.A., Lü J.H., Yu S. Generating hyperchaotic Lü attractor via state feedback control. Physica A 2006, 364(15):103-110.
19. Rössler O.E. An equation for hyperchaos. Phys Lett A 1979, 71(2-3):155-157.