Theoretical and experimental studies of parameter estimation based on chaos feedback synchronization

Chaos

Volumn 16, Issue 4, 2006, Pages

  Zhang, Yu ^a   Tao, Chao ^a   Jiang, Jack J ^a  

^a UNIVERSITY OF WISCONSIN SCHOOL OF MEDICINE AND PUBLIC HEALTH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947583104     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2404356     Document Type: Article

References (20)

1. L. M. Pecora and T. L. Carroll, " Synchronization in chaotic systems., " Phys. Rev. Lett. 64, 821-824 (1990).
2. K. M. Cuomo and A. V. Oppenheim, " Circuit implementation of synchronized chaos with applications to communication., " Phys. Rev. Lett. 71, 65-68 (1993).
3. I. Tokuda and H. Herzel, " Detecting synchronizations in an asymmetric vocal fold model from time series data., " Chaos 15, 013702 (2005).
4. C. Tao, Y. Zhang, G. H. Du, and J. J. Jiang, " Estimating model parameters by chaos synchronization., " Phys. Rev. E 69, 036204 (2004).
5. A. Maybhate and R. E. Amritkar, " Dynamic algorithm for parameter estimation and its application., " Phys. Rev. E 61, 6461-6470 (2000).
6. C. Tao, Y. Zhang, G. H. Du, and J. J. Jiang, " Fitting model equations to time series using chaos synchronization., " Phys. Lett. A 332, 197-206 (2004).
7. U. Parlitz, " Estimating model parameters from time series by autosynchronization., " Phys. Rev. Lett. 76, 1232-1235 (1996).
8. R. Konnur, " Synchronization-based approach for estimating all model parameters of chaotic systems., " Phys. Rev. E 67, 027204 (2003).
9. H. Sakaguchi, " Parameter evaluation from time sequences using chaos synchronization., " Phys. Rev. E 65, 027201 (2002).
10. U. Parlitz, L. Junge, and L. Kocarev, " Synchronization-based parameter estimation from time series., " Phys. Rev. E 54, 6253-6258 (1996).
11. K. Pyragas, " Predictable chaos in slightly perturbed unpredictable chaotic systems., " Phys. Lett. A 181, 203-210 (1993).
12. Y. Zhang, G. H. Du, and J. J. Jiang, " Synchronizing chaos by impulsive feedback method. International Journal of Bifurcation and Chaos., " Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 2233-2243 (2001).
13. Y. H. Yu, K. Kwak, and T. K. Lim, " Secure communication using small time continuous feedback., " Phys. Lett. A 197, 311-315 (1995).
14. L. Kocarev, K. S. Halle, K. Eckert, and L. O. Chua, " Transition in dynamical regimes by driving: A unified method of control and synchronization of chaos., " Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, 479-483 (1993).
15. Y. Zhang and G. H. Du, " Spatio-temporal synchronization of coupled parametrically excised pendulum arrays., " J. Sound Vib. 239, 983-994 (2001).
16. I. Tokuda, U. Parlitz, L. Illing, M. Kennel, and H. D. I. Abarbanel, " Parameter Estimation for Neuron Models., " in Experimental Chaos (AIP, New York, 2003), Vol. 676, pp. 252-256.
17. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C, 2nd ed. (Cambridge University Press, Cambridge, 1992).
18. J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, " Convergence properties of the Nelder-Mead simplex method in low dimensions., " SIAM J. Optim. 9, 112-147 (1998).
19. Y. Zhang, C. Tao, and J. J. Jiang, " Parameter estimation of an asymmetric vocal fold system from glottal area time series using chaos synchronization., " Chaos 16, 023118 (2006).
20. T. Matsumoto, L. O. Chua, and M. Komuro, " The double scroll., " IEEE Trans. Circuits Syst. 32, 798-818 (1985).