"Middle" periodic orbit and its application to chaos control

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 12, Issue 8, 2002, Pages 1869-1876

  Yang, Ling ^a,b   Liu, Zengrong ^a   Zheng, Yongai ^a,c  

^a SHANGHAI UNIVERSITY   (China)

^b SOOCHOW UNIVERSITY   (China)

^c YANGZHOU UNIVERSITY   (China)

Author keywords

Chaos; Chaos control; Symbolic dynamics

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

CHAOS CONTROL;

CHAOS THEORY;

EID: 0036696372     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127402005534     Document Type: Article

References (14)

1. Auerbach, D., Grebogi, C., Ott, E. & Yorke, J. A. [1992] "Controlling chaos in high dimensional system," Phys. Rev. Lett. 69 3479-3482.
2. Chen, G. & Lai, D. [1996] "Feedback control of Lyapunov exponents for discrete-time dynamical systems," Int. J. Bifurcation and Chaos 6, 1341-1349.
3. Chen, G. & Lai, D. [1998] "Feedback anticontrol of discrete chaos," Int. J. Bifurcation and Chaos 8, 1585-1590.
4. Ditto, W. L., Rauseo, S. N. & Spano, M. L. [1990] "Experimental control of chaos," Phys. Rev. Lett. 65, 3211-3214.
5. Liu, Z., Chen, L. & Yang, L. [1999] "On properties of hyperchaos: Case study," Acta Mech. Sini. 15, 366-370.
6. Ott, E., Grebogi, C. & Yorke, J. A. [1990] "Controlling chaos," Phys. Rev. Lett. 64, 1196-1199.
7. Shinbrot, T., Ott, E., Grebogi, C. & Yorke, J. A. [1990] "Using chaos to direct trajectories to targets," Phys. Rev. Lett. 65, 3215-3218.
8. Shinbrot, T., Ott, E., Grebogi, C. & Yorke, J. A. [1992a] "Using chaos to target stationary states of flows," Phys. Lett. A169, 349-354.
9. Shinbrot, T., Ott, E., Grebogi, C. & Yorke, J. A. [1992b] "Using chaos to direct orbits to targets in systems describale by a one-dimensional map," Phys. Rev. A45 4165-4168.
10. Singer, J., Wang, Y. & Bua, H. [1991] "Controlling a chaotic system," Phys. Rev. Lett. 66, 1123-1125.
11. Xie, H. [1995] "Distinct excluded blocks and grammatical complexity of dynamical systems," Compl. Syst. 9, 73-90.
12. Xie, H. [1996] Grammatical Complexity and One-Dimensional Dyanimical Systems (World Scientific, Singapore).
13. Yang, L. & Liu, Z. [1998] "An improvement and proof of OGY method," App. Math. Mech. 19, 1-8.
14. Yang, L., Liu, Z. & Mao, J. [2000] "Controlling hyper-chaos," Phys. Rev. Lett. 84, 67-70.