Identification of coupled map lattice models of complex spatio-temporal patterns. (English) Zbl 0971.37022

Summary: A method for the identification of nonlinear coupled map lattices equations from measured spatio-temporal data is introduced. The application of the algorithm is demonstrated using chaotic two-dimensional spatio-temporal patterns generated from interacting populations and the resulting models are validated by computing the attractors and the largest Lyapunov exponents.


37H15 Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents
Full Text: DOI


[1] Billings, S. A.; Chen, S.; Kronenberg, M. J., Int. J. Control, 49, 2157 (1988)
[2] S.A. Billings, D. Coca, submitted, 2000; S.A. Billings, D. Coca, submitted, 2000
[3] Booth, V.; Erneux, T.; Laplante, J. P., J. Phys. Chem., 97 (1995)
[4] D. Coca, S.A. Billings, submitted, 2000; D. Coca, S.A. Billings, submitted, 2000
[5] Cross, M. C.; Hohenberg, P. C., Rev. Mod. Phys., 65, 3, 851 (1993)
[6] Crutchfield, J.; Kaneko, K., (Lin, H. B., Directions in Chaos (1987), World Scientific: World Scientific Singapore), 272-353
[7] Kaneko, K., Prog. Theor. Phys., 74, 5, 1033 (1985)
[8] Kaneko, K., Physica D, 18, 475 (1986)
[9] Kaneko, K., Physica D, 34, 1 (1989)
[10] (Kaneko, K., Coupled Map Lattices: Theory and Experiment (1993), World Scientific: World Scientific Singapore) · Zbl 0777.00014
[11] Leontaritis, I. J.; Billings, S. A., Int. J. Control, 41, 303 (1985)
[12] Platt, N.; Hammel, S., Physica A, 239, 1-3, 296 (1997)
[13] Sinha, S.; Gupte, N., Phys. Rev. E, 58, 5, 5221 (1998)
[14] Solé, R. V.; Valls, J.; Bascompte, J., Phys. Lett. A, 166, 2, 123 (1992)
[15] Yanagita, T., Chaos, 2, 3, 343 (1992)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.