The synchronization for time-delay of linearly bidirectional coupled chaotic system

Chaos, Solitons and Fractals

Volumn 33, Issue 4, 2007, Pages 1197-1203

  Yu, Yongguang ^a  

^a BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; LYAPUNOV FUNCTIONS; STABILITY; SYNCHRONIZATION; TIME DELAY;

BIDIRECTIONAL COUPLED CHAOTIC SYSTEM; FOUR-SCROLL ATTRACTOR; GLOBAL CHAOTIC SYNCHRONIZATION;

CHAOTIC SYSTEMS;

EID: 33947127615     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.01.119     Document Type: Article

References (24)

1. Chen G., and Dong X. From chaos to order: methodologies, perspectives and applications (1998), World Scientific, Singapore
2. Lorenz E.N. Deterministic non-periodic flows. J Atmos Sci 20 (1963) 130-141
3. Ott E., Grebogi C., and Yorke J. Controlling chaos. Phys Rev Lett 64 (1990) 1196-1199
4. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys Rev Lett 64 (1990) 821-824
5. Rosenblum M., Pikovsky A., and Kurth J. Phase synchronization in chaotic oscillators. Phys Rev Lett 76 (1996) 1804-1807
6. Rosenblum M. A characteristic frequency of chaotic dynamical system. Chaos, Solitons & Fractals 3 6 (1993) 617-626
7. Chen S., and Lu J. Synchronization of uncertain unified chaotic system via adaptive control. Chaos, Solitons & Fractals 14 4 (2002) 643-647
8. Alexeyev A., and Shalfeev V. Chaotic synchronization of mutually-coupled generators with frequency-controlled feedback loop. Int J Bifurcat Chaos 5 (1995) 551-558
9. Taherion S., and Lai Y. Experimental observation of lag synchronization in coupled chaotic systems. Int J Bifurcat Chaos 10 (2000) 2587-2594
10. Xu D., and Li Z. Controlled projective synchronization in nonpartially-linear chaotic systems. Int J Bifurcat Chaos 12 6 (2002) 1395-1402
11. Xu D., Chee C., and Li C. A necessary condition of projective synchronization in discrete-time systems of arbitrary dimensions. Chaos, Solitons & Fractals 22 1 (2004) 175-180
12. Li Z., and Xu D. A secure communication scheme using projective chaos synchronization. Chaos, Solitons & Fractals 22 2 (2004) 477-481
13. Rulkov N., Sushchik K., Tsimring L., and Abarbanel H. Generalized synchronization of chaos in directionally coupled chaotic systems. Phys Rev E 51 (1995) 980-994
14. Chen G., and Liu S. On generalized synchronization of spatial chaos. Chaos, Solitons & Fractals 15 2 (2003) 311-318
15. Yang X., and Chen G. Some observer-based criteria for discrete-time generalized chaos synchronization. Chaos, Solitons & Fractals 13 6 (2002) 1303-1308
16. Jiang G., Zheng W., and Chen G. Global chaos synchronization with channel time-delay. Chaos, Solitons & Fractals 20 2 (2004) 267-275
17. Jiang G.P., and Tang W. A global synchronization criterion for coupled chaotic systems via unidirectional linear error feedback approach. Int J Bifurcat Chaos 12 10 (2002) 2239-2253
18. Zhou T., Lü J., Chen G., and Tang Y. Synchronization stability of three chaotic systems with linear coupling. Phys Lett A 301 (2002) 231-240
19. Kyprianidis I., and Stouboulos I. Chaotic synchronization of three coupled oscillators with ring connection. Chaos, Solitons & Fractals 17 (2003) 327-336
20. Yu Y., and Zhang S. The synchronization of linearly bidirectional coupled chaotic systems. Chaos, Solitons & Fractals 22 (2004) 189-197
21. Yu Y., and Zhang S. Global synchronization of three coupled chaotic systems with ring connection. Chaos, Solitons & Fractals 24 (2005) 1233-1242
22. Elabbasy E., and Agiza H. Chaos synchronization criterion and adaptive synchronization for new chaotic system. Chaos, Solitons & Fractals 23 (2005) 1299-1309
23. Park J. Chaos synchronization of a chaotic system via nonlinear control. Chaos, Solitons & Fractals 25 (2005) 579-584
24. Lu J., Chen G., and Cheng D. A new chaotic system and beyond: the generalized Lorenz-like system. Int J Bifurcat Chaos 14 (2004) 1507-1537