A four-wing attractor and its analysis

Chaos, Solitons and Fractals

Volumn 40, Issue 4, 2009, Pages 2016-2030

  Qi, Guoyuan ^a,b   van Wyk, Barend Jacobus ^b   van Wyk, Michaël Antonie ^b  

^a TIANJIN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b TSHWANE UNIVERSITY OF TECHNOLOGY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); LYAPUNOV METHODS; SPECTRUM ANALYSIS; STATE FEEDBACK;

BIFURCATION ANALYSIS; CHAOTIC ATTRACTORS; COMPLEX STRUCTURE; DYNAMICAL BEHAVIORS; ENGINEERING APPLICATIONS; EVOLUTION PROCESS; FREQUENCY BAND WIDTH; LYAPUNOV EXPONENT;

CHAOTIC SYSTEMS;

EID: 65449127492     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.09.095     Document Type: Article

References (27)

1. Li C., Liao X., and Wong K. Lag synchronization of hyperchaos with application to secure communications. Chaos, Solitons & Fractals 23 (2005) 183-193
2. Feki M. An adaptive chaos synchronization scheme applied to secure communication. Chaos, Solitons & Fractals 18 (2003) 141-148
3. Chen S.H., and Lü J. Synchronization of an uncertain unified chaotic system via adaptive control. Chaos, Solitons & Fractals 4 (2002) 643-647
4. Chua L.O., Komuro M., and Matsumoto T. The double scroll family. IEEE Trans Circuits Syst-I 33 (1986) 1072-1118
5. Suykens J.A.K., and Chua L.O. n-Double scroll hypercubes in 1-D CNNs. Int J Bifurcat Chaos 7 (1997) 1873-1885
6. Suykens J.A.K., and Vandewalle J. Generation of n-double scrolls (n = 1; 2; 3; 4; ...). IEEE Trans Circuits Syst-I 40 (1993) 861-867
7. Tang K.S., Zhong G.Q., Chen G., and Man K.F. Generation of n-scroll attractors via sine function. IEEE Trans Circuits Syst-I 48 (2001) 1369-1372
8. Yalcin M.E., Suykens J.A.K., Vandewalle J., and Ozoguz S. Families of scroll grid attractors. Int J Bifurcat Chaos 12 (2002) 23-41
9. Lü J., Han F., Yu X., and Chen G. Generating 3-D multi-scroll chaotic attractors: a hysteresis series switching method. Automatica 40 (2004) 1677-1687
10. Lü J., Chen G., and Yu X. Design and analysis of multi-scroll chaotic attractors from saturated function series. IEEE Trans Circuits Syst-I 51 (2004) 2476-2490
11. Ozoguz S., Elwakil A.S., and Salama K.N. n-Scroll chaos generator using nonlinear transconductor. Electron Lett 38 (2002) 685-686
12. Lü J., and Chen G. Generating multi-scroll chaotic attractors: theories, methods and applications. Int J Bifurcat Chaos 16 (2006) 775-858
13. Vaněček A., and Čelikovský S. Control systems from linear analysis to synthesis of chaos (1996), Prentice-Hall, London
14. Chen G., and Ueta T. Yet another chaotic attractor. Int J Bifurcat Chaos 9 (1999) 1465-1466
15. Lü J., and Chen G. A new chaotic attractor coined. Int J Bifurcat Chaos 12 (2002) 659-661
16. Chen G., and Lü J. Dynamical analysis, control and synchronization of the generalized Lorenz systems family (2003), Science Press, Beijing [in Chinese]
17. Čelikovský S., and Chen G. On the generalized Lorenz canonical form. Chaos, Solitons & Fractals 26 (2005) 1271-1276
18. Liu W., and Chen G. Can a three-dimensional smooth autonomous quadratic chaotic system generate a single four-scroll attractor?. Int J Bifurcat Chaos 14 (2004) 1395-1403
19. Lü 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
20. Qi G., Du S., Chen G., Chen Z., and Yuan Z. On a 4-dimensional chaotic system. Chaos, Solitons & Fractals 23 (2005) 1671-1682
21. Qi G., Chen G., and Zhang Y. Analysis and circuit implementation of a new 4-D chaotic system. Phys Lett A 352 (2006) 386-397
22. Qi G., Chen G., Li S., and Zhang Y. Four-wing attractors: from pseudo to real. Int J Bifurcat Chaos 16 (2006) 859-885
23. Wiggins S. Introduction to applied nonlinear dynamical systems and chaos (1990), Springer, Berlin
24. Elwakil A.S., Özogus S., and Kennedy M.P. Creation of a complex butterfly attractor using a novel Lorenz-type system. IEEE Trans Circuits Syst-I 49 (2002) 527-530
25. Pérez G., and Cerdeira H.A. Extracting messages masked by chaos. Phys Rev Lett 74 (1995) 1970-1973
26. Hu G., Feng Z., and Meng R. Chosen ciphertext attack on chaos communication based on chaotic synchronization. IEEE Trans Circuits Syst I 50 (2003) 275-279
27. Li S., Alvarez G., and Chen G. Breaking a chaos-based secure communication scheme designed by an improved modulation method. Chaos, Solitons & Fractals 25 (2005) 109-120