Generating hyperchaotic attractors via approximate time delayed state feedback

International Journal of Bifurcation and Chaos

Volumn 18, Issue 11, 2008, Pages 3485-3494

  Hu, Guosi ^a,b   Jiang, Shiqin ^a  

^a TONGJI UNIVERSITY   (China)

^b YANTAI UNIVERSITY   (China)

Author keywords

Bifurcation; Chaos anti control; Circuit implementation; Hyperchaos; Time delayed feedback

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOTIC SYSTEMS; FEEDBACK; STATE FEEDBACK;

ANTICONTROL; CIRCUIT IMPLEMENTATION; HYPERCHAOS; HYPERCHAOTIC; LORENZ CHAOTIC SYSTEM; NEW HYPERCHAOTIC SYSTEMS; TIME DELAYED; TIME-DELAYED FEEDBACK;

TIME DELAY;

EID: 58449088118     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127408022524     Document Type: Article

References (14)

1. Bai, L. J., Jiang, S. Q. & Xu, J. [2005] "Complex dynamics in Lorenz system due to time delayed feedbacks," TongJi University (Natural Science) 33, 12.
2. Chen, G. & Ueta, T. [1999] "Yet another chaotic attractor," Int. J. Bifurcation and Chaos 9, 1465-1466.
3. Chen, G. [2003] "Chaotification via feedback: The discrete case," in Chaos Control: Theroy and Application (Springer-Verlag, Berlin), pp. 159-178.
4. Gao, T., Chen, G., Chen, Z. & Gang, S. [2007] "The generation and circuit implementation of a new hyperchaos based upon Lorenz system," Phys. Lett. A 361, 78-86.
5. Jia, Q. [2007] "Hyperchaos generated from the Lorenz chaotic system and its control," Phys. Lett. A 366, 217-222.
6. Li, Y., Tang, W. K. S. & Chen, G. [2005] "Generating hyperchaos via state feedback control," Int. J. Bifurcation and Chaos 10, 3367-3375.
7. Liu, W. B. & Chen, G. [2003] "A new chaotic system and its generation," Int. J. Bifurcation and Chaos 13, 261-267.
8. Liu, W. B. & Chen, G. [2004] "Dynamical analysis of a chaotic system with two double-scroll chaotic attractors," Int. J. Bifurcation and Chaos 14, 971-998.
9. Lü, J. H. & Chen, G. [2002] "A new chaotic attractor coined," Int. J. Bifurcation and Chaos 12, 659-661.
10. Rossler O. E. [1979] "An equation for hyperchaos," Phys. Lett. A 71, 155-157.
11. Wang, X. F. & Chen, G. [2000] "Anticontrol of chaos in continuous-time systems via time-delay feedback," Chaos 10, 771-779.
12. Wang. X. F., Zhong, G. Q., Tang, K. S., Man, K. F. & Liu, Z. F. [2001] "Generating chaos in Chua's circuit via time-delay feedback," IEEE Trans. Circuits Syst.-I: Fund. Th. Appl. 48, 1151-1156.
13. Wang, G. Y., Zhen, Y. & Liu, J. B. [2007] "A hyperchaotic Lorenz attractor and it's circuit implementation," ACTA Phys. Sin. 56, 3113-3120.
14. Xu, J. & Chung, K. W. [2003] "Effects of time delayed position feedback on a van der Pol-Duffing oscillator," Physica D 180, 17-39.