Characteristics of time-delay complex Lorenz chaotic system and its self-synchronization of time delay

Wuli Xuebao/Acta Physica Sinica

Volumn 62, Issue 22, 2013, Pages

  Zhang, Fang Fang ^a   Liu, Shu Tang ^a   Yu, Wei Yong ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

Complex chaotic systems; Lyapunov exponent; Self synchronization of time delay; Time delay system

Indexed keywords

DYNAMIC CHARACTERISTICS; LORENZ CHAOTIC SYSTEM; LORENZ SYSTEM; LYAPUNOV EXPONENT; NONLINEAR FEEDBACK CONTROLLERS; ORIGINAL SYSTEMS; SELF SYNCHRONIZATION; TIME-DELAY SYSTEMS;

CHAOTIC SYSTEMS; DELAY CONTROL SYSTEMS; LYAPUNOV METHODS;

TIME DELAY;

EID: 84888374097     PISSN: 10003290     EISSN: None     Source Type: Journal    
DOI: 10.7498/aps.62.220505     Document Type: Article

References (28)

1. Liang Y, Wang X Y 2013 Acta Phys. Sin. 62 018901 (in Chinese)
2. Ouyang C, Lin W T, Cheng R J, Mo J Q 2013 Acta Phys. Sin. 62 060201 (in Chinese)
3. Li C D, Liao X F 2004 Phys. Lett. A 329 301
4. Jia F L, Xu W 2007 Acta Phys. Sin. 56 3101 (in Chinese)
5. Mahmoud G M, Mahmoud E E 2012 Nonlinear Dyn. 67 1613
6. Wang X Y, Zhang H 2013 Chin. Phys. B 22 048902
7. Fowler A C, Gibbon J D 1982 Physica D 4 139
8. Mahmoud G M, Bountis T, Mahmoud E E 2007 Internat. J. Bifur. Chaos 17 4295
9. Luo C, Wang X Y 2013 Nonlinear Dyn. 71 241
10. Luo C, Wang X Y 2013 Int. J. Mod. Phys. C 24 1350025
11. Mahmoud G M, Mahmoud E E 2010 Nonlinear Dyn. 61 141
12. Nian F Z, Wang X Y, Niu Y J, Lin D 2010 Appl. Math. Comput. 217 2481
13. Mahmoud G M, Mahmoud E E 2010 Nonlinear Dyn. 62 875
14. Liu S T, Liu P 2011 Nonlinear Anal. Real 12 3046
15. Liu P, Liu S T 2011 Phys. Scr. 83 065006
16. Mahmoud G M, Mahmoud E E 2010 Math. Comput. Simulat. 80 2286
17. Liu P, Liu S 2012 Nonlinear Dyn. 70 585
18. Zhu H 2011 ICCRD: 3rd Int. Conf. on Computer Research Development Shanghai, China, March 11-13, 2011 p451
19. Liu P, Liu S T, Li X 2012 Phys. Scr. 85 035005
20. Luo C, Wang X Y 2013 J. Franklin Inst. http://dx.doi.org/10.1016/j.jfranklin.2013.06.011
21. Mahmoud E E 2013 Math. Comput. Simulat. 89 69
22. Zhang F F, Liu S T, Yu W Y 2013 Chin. Phys. B 22 120505
23. Gibbon J D, McGuinnes M J 1982 Physica D 5 108
24. Ning C Z, Haken H 1990 Phys. Rev. A 41 3826
25. Rauh A, Hannibal L, Abraham N 1996 Physica D 99 45
26. Richter H 2001 Chaos Soliton. Fract. 12 2375
27. Wolf A, Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
28. Hale J 1977 Theory of Functional Differential Equations (Vol. 3) (Berlin: Springer-Verlag) pp 1-244