Parameter identification of dynamical systems from time series

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 6, 2007, Pages

  Yu, Wenwu ^a,b   Chen, Guanrong ^b   Cao, Jinde ^a   Lü, Jinhu ^c,d   Parlitz, Ulrich ^e  

^a SOUTHEAST UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c INSTITUTE OF SYSTEMS SCIENCE   (China)

^d PRINCETON UNIVERSITY   (United States)

^e UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR INDEPENDENCE CONDITIONS; RESEARCH REPORTS;

TIME SERIES;

DYNAMICAL SYSTEMS;

EID: 34548380576     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.067201     Document Type: Article

References (22)

1. E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.1196 64, 1196 (1990).
2. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.821 64 (8), 821 (1990).
3. G. Chen and X. Dong, From Chaos to Order: Methodologies, Perspectives and Applications (World Scientific, Singapore, 1998).
4. W. Yu and J. Cao, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.04.105 373, 252 (2007).
5. J. Cao and J. Lu, Chaos CHAOEH 1054-1500 10.1063/1.2178448 16, 013133 (2006).
6. D. Huang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.037203 71, 037203 (2005).
7. D. Huang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.214101 93, 214101 (2004).
8. W. Yu and J. Cao, Chaos CHAOEH 1054-1500 10.1063/1.2204747 16, 023119 (2006).
9. W. Yu and J. Cao, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.09.020 375, 467 (2007).
10. S. Chen and J. Lü, Phys. Lett. A PYLAAG 0375-9601 299, 353 (2002).
11. D. Huang and R. Guo, Chaos CHAOEH 1054-1500 10.1063/1.1635095 14, 152 (2004).
12. D. Huang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.067201 69, 067201 (2004).
13. U. Parlitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1232 76, 1232 (1996).
14. D. Huang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.066204 73, 066204 (2006).
15. W. Yu, J. Cao, and G. Chen, IEEE Trans. Circuits Syst., II: Analog Digital Signal Process. (to be published).
16. X. Wu, Chaos CHAOEH 1054-1500 10.1063/1.2401058 16, 043118 (2006).
17. J. Cao and M. Xiao, IEEE Trans. Neural Netw. 18, 416 (2007). 10.1109/TNN.2006.886358
18. S. Sastry and M. Bodson, Adaptive Control: Stability, Convergence, and Robustness (Prentice-Hall, Englewood Cliffs, NJ, 1989).
19. L. Li, H. Peng, X. Wang, and Y. Yang, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2004.10.039 333, 269 (2004).
20. D. Yu and A. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 94.219401 94, 219401 (2005).
21. J. Hale and S. V. Lunel, Introduction to Functional Differential Equations (Springer-Verlag, New York, 1993).
22. H. Lu, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(02)00538-8 298, 109 (2002).