Switching among three different kinds of synchronization for delay chaotic systems

Chaos, Solitons and Fractals

Volumn 23, Issue 2, 2005, Pages 563-571

  Shu, Yonglu ^a   Zhang, Anbang ^a   Tang, Bangding ^a  

^a CHONGQING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); DELAY CIRCUITS; FRACTALS; LYAPUNOV METHODS; SEMICONDUCTOR LASERS; SOLITONS; SWITCHING; SYNCHRONIZATION; SYSTEM STABILITY;

COMPLETE SYNCHRONIZATION; DELAY CHAOTIC SYSTEMS; NUMERICAL SIMULATIONS; TIME DELAYED SYSTEMS;

CHAOS THEORY;

EID: 4344568678     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.05.043     Document Type: Article

References (19)

1. Hale J.K., Lunel S.M.V. Introduction to functional differential equations. 1993;Springer, New York.
2. Fischer I., Liu Y., Davis P. Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication. Phys. Rev. A. 62:2000;011801(R).
3. Masoller C. Spatio-temporal dynamics in the coherence collapsed regime of semiconductor lasers with optical feedback. Chaos. 7:1997;455-462.
4. Voss H.U. Anticipating chaotic synchronization. Phys. Rev. E. 61:2000;5115.
5. Sivaprakasam S., Shahverdiev E.M., Spencer P.S., Shore K.A. Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback. Phys. Rev. Lett. 87:2001;154101.
6. Rosenblum Michael G., Pikovsky Arkady S., Kurths J.ürgen From phase to lag synchronization in coupled chaotic oscillators. Phys. Rev. Lett. 78(22):1997;4193-4196.
7. Ahlers V., Parlitz U., Lauterborn W. Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers. Phys. Rev. E. 58(6):1998;7208-7213.
8. Shahverdiev E.M., Sivaprakasam S., Shore K.A. Lag synchronization in time-delayed systems. Phys. Lett. A. 292:2002;320-324.
9. Shahverdiev E.M., Sivaprakasam S., Shore K.A. Inverse anticipating chaos synchronization. Phys. Rev. E. 66:2002;017204.
10. Ikeda K., Daido H., Akimoto O. Optical turbulence: chaotic behavior of transmitted light from a ring cavity. Phys. Rev. Lett. 45:1980;709.
11. Mackey M.C., Glass L. Oscillation and chaos in physiological control systems. Science. 197:1977;287-289.
12. Farmer J.D. Chaotic attractors of an infinite-dimensional dynamical system. Physica D. 4:1982;366.
13. Pecora L.M., Carroll T.L. Synchronization in chaotic systems. Phys. Rev. Lett. 64:1990;821-824.
14. Carroll T.L., Pecora L.M. Synchronizing chaotic circuits. IEEE Trans. CAS. 38:1991;453.
15. Xzao Fan Wangl, Guanrong Chen II, Man KF. Chaotifing a continuous-time system by time-delay feedback, ISCAS 2000 - IEEE International Symposium on Circuits and Systems. Geneva, Switzerland: May 28-31, 2000.
16. Sharkovsky A.N. Chaos from a time-delayed Chua's circuit. IEEE Trans. Circuits Syst. 40(10):1993;781-783.
17. Lu Hongtao, He Zhenya Chaotic behavior in first-order autonomous continuous-time systems with delay. IEEE Trans. Circuits Syst. 43:1985;797-818.
18. Yamada T., Fujisaka H. Stability theory of synchronization motion in coupled-oscillator system II. Prog. Theor. Phys. 70:1983;1240.
19. Yamada T., Fujisaka H. Stability theory of synchronization motion in coupled-oscillator system III. Prog. Theor. Phys. 72:1984;885.