An application of the least-squares method to system parameters extraction from experimental data

Chaos

Volumn 12, Issue 1, 2002, Pages 27-32

  Oprisan, Sorinel Adrian ^a  

^a UNIVERSITY OF NEW ORLEANS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036489713     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1436501     Document Type: Article

References (10)

1. H.D.I. Abarbanel, Analysis of Observed Chaotic Data (Springer-Verlag, New York, 1995).
2. H.D.I. Abarbanel, R. Brown, J.J. Sidorowich, and L.S. Tsimring, "The analysis of observed chaotic data in physical systems," Rev. Mod. Phys. 65, 1331 (1993).
3. R. Brown, N.F. Rulkov, and E.R. Tracy, "Modeling and synchronizing chaotic systems from time-series data," Phys. Rev. E 49, 3784 (1994).
4. R. Brown, N.F. Rulkov, and E.R. Tracy, "Modeling and synchronizing chaotic systems from experimental data," Phys. Lett. A 194, 71 (1994).
5. J.L. Breeden and A. Hubler, "Reconstructing equations of motion from experimental data with unobserved variables," Phys. Rev. A 42, 5817 (1990).
6. D.G. Luenberger, Linear and Nonlinear Programming (Addison-Wesley, Reading, MA, 1984).
7. G.L. Baker, J.P. Gollub, and J.A. Blackburn, "Inverting chaos: Extracting system parameters from experimental data," Chaos 6, 528 (1996).
8. M. Casdagli, "Nonlinear prediction of chaotic time series," Physica D 35, 335 (1980).
9. M. Henon, "A two dimensional map with a strange attractor," Commun. Math. Phys. 50, 69 (1976).
10. A.C. Singer, G.W. Wornell, and N. Alan, "Nonlinear autoregressive modeling and estimation in the presence of noise," Digital Signal Processing 4, 207 (1994).