Complex dynamical behaviors of the chaotic Chen's system

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 13, Issue 9, 2003, Pages 2561-2574

  Zhou, Tianshou ^a,b   Tang, Yun ^a,b   Chen, Guanrong ^c  

^a TSINGHUA UNIVERSITY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^c NONE

Author keywords

Chaos; Chen's attractor; Chen's system; Trajectory

Indexed keywords

BIFURCATION (MATHEMATICS); THEOREM PROVING; TOPOLOGY;

CHAOTIC ATTRACTORS;

CHAOS THEORY;

EID: 0242425114     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403008089     Document Type: Article

References (18)

1. Agiza, H. N. & Yassen, M. T. [2001] "Synchronization of Rössler and Chen chaotical dynamical systems using active control," Phys. Lett. A278, 191-197.
2. Čelikovsý, S. & Chen, G. [2002] "On a generalized Lorenz canonical form of chaotic systems," Int. J. Bifurcation and Chaos 12, 1789-1812.
3. Chen, G. & Dong, X. [1998] From Chaos to Order: Methodologies, Perspectives and Applications (World Scientific, Singapore).
4. Chen, G. & Ueta, T. [1999] "Yet another chaotic attractor, " Int. J. Bifurcation and Chaos 9, 1465-1466.
5. Guan, X. P., Fan, Z. P., Peng, H. P. & Wang, Y. Q. [2001] "The adaptive control of Chen's chaotic systems," ACTA Phys. Sin. 50, 2108-2111.
6. Guan, Z. H., Liao, R. Q., Zhou, F. & Wang, H. O. [2002] "On impulsive control and its application to Chen's chaotic systems," Int. J. Bifurcation and Chaos, in press.
7. Li, Y., Liu, X. Z. & Shen, X. [2002] "Chaos synchronization using impulsive driving and applications to secure communications," Dynamics of Continuous, Discrete and Impulsive Systems, in press.
8. Lü, J. H. & Zhang, S. C. [2001] "Controlling Chen's chaotic attractor using backstepping design based on parameters identification," Phys. Lett. A286, 148-152.
9. Lü, J. H., Zhou, T. S., Chen, G. & Zhang S. C. [2002a] "The compound structure of Chen's attractor," Int. J. Bifurcation and Chaos 12, 855-858.
10. Lü, J. H., Zhou, T. S., Chen, G. & Zhang, S. C. [2002b] "Local bifurcation of the Chen system," Int. J. Bifurcation and Chaos, 12, 2257-2270.
11. Lü, J. H., Zhou, T. S. & Zhang, S. C. [2002c] "Controlling Chen's chaotic attractor using feedback function based on parameters identification," Chinese Phys. 11, 12-16.
12. Ueta, T. & Chen, G. [2000] "Bifurcation analysis of Chen's attractor," Int. J. Bifurcation and Chaos 10, 1917-1931.
13. Vaněček, A. & Čelikovsý, S. [1996] Control Systems: From Linear Analysis to Synthesis of Chaos (Prentice-Hall, London).
14. Wang, X. [2000] "Chen's attractor - A new chaotic attractor," Contr. Th. 16, p. 779.
15. Wang, X. & Chen, G. [2000] "Chaotification via arbitrarily small feedback controls: Theory, method and applications," Int. J. Bifurcation and Chaos 10, 549-570.
16. Yang, B. L. & Yang, T. [2000] "Sampled data feedback control of Chen's system," Acta Phys. Sin. 49, 1039-1042.
17. Yu, X. & Xia,Y. [2001] "Detecting unstable periodic orbits in Chen's chaotic attractor," Int. J. Bifurcation and Chaos 10, 1987-1991.
18. Zhong, G. Q. & Tang, K. S. [2002] "Circuitry implementation and synchronization of Chen's attractor," Int. J. Bifurcation and Chaos, in press.