Detecting unstable periodic orbits in Chen's chaotic attractor

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 10, Issue 8, 2000, Pages 1987-1991

  Yu, Xinghuo ^a   Xia, Yang ^a  

^a CENTRAL QUEENSLAND UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034238521     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127400001250     Document Type: Article

References (10)

1. Chen, G. & Ueta, T. [1999] "Yet another chaotic attractor," Int. J. Bifurcation and Chaos 9(7), 1465-1466.
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3. Lathrop, D. & Kostelich, E. [1989] "Characterization of an experimental strange attractor by period orbits," Phys. Rev. A40(7), 4028-4031.
4. Ogorzalek, M. & Galias, Z. [1993] "Characterization of chaos in Chua's oscillator in terms of unstable periodic orbits," J. Circuits Syst. Comput. 3(2), 411-429.
5. Ott, E., Grebogi, C. & Yorke, J. A. [1990] "Controlling chaos," Phys. Rev. Lett. 64(11), 1196-1199.
6. Pyragas, K. [1992] "Continuous control of chaos by self-controlling feedback," Phys. Lett. A170, 421-428.
7. Schmeicher, P. & Diakonos, F. [1997] " Detecting unstable periodic orbits of chaotic dynamical systems," Phys. Rev. Lett. 78(25), 4733-4736.
8. Utkin, V. I. [1992] Sliding Modes in Control and Optimization (Springer-Verlag).
9. Yu, X. [1996] "Controlling Lorenz chaos," Int. J. Syst. Sci. 27, 355-361.
10. Yu, X. [1999] "Tracking inherent periodic orbits in chaotic systems via adaptive variable structure time delayed self-control," IEEE Trans. Circuits Syst. I 46(11), 1408-1411.