Fitting ordinary differential equations to chaotic data

Baake E, Baake M, Bock HG, Briggs KM (1992)
Physical Review A 45(8): 5524-5529.

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We address the problem of estimating parameters in systems of ordinary differential equations which give rise to chaotic time series. We claim that the problem is naturally tackled by boundary value problem methods. The power of this approach is demonstrated by various examples with ideal as well as noisy data. In particular, Lyapunov exponents can be computed accurately from time series much shorter than those required by previous methods.
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Baake E, Baake M, Bock HG, Briggs KM. Fitting ordinary differential equations to chaotic data. Physical Review A. 1992;45(8):5524-5529.
Baake, E., Baake, M., Bock, H. G., & Briggs, K. M. (1992). Fitting ordinary differential equations to chaotic data. Physical Review A, 45(8), 5524-5529.
Baake, E., Baake, M., Bock, H. G., and Briggs, K. M. (1992). Fitting ordinary differential equations to chaotic data. Physical Review A 45, 5524-5529.
Baake, E., et al., 1992. Fitting ordinary differential equations to chaotic data. Physical Review A, 45(8), p 5524-5529.
E. Baake, et al., “Fitting ordinary differential equations to chaotic data”, Physical Review A, vol. 45, 1992, pp. 5524-5529.
Baake, E., Baake, M., Bock, H.G., Briggs, K.M.: Fitting ordinary differential equations to chaotic data. Physical Review A. 45, 5524-5529 (1992).
Baake, Ellen, Baake, Michael, Bock, H. G., and Briggs, K. M. “Fitting ordinary differential equations to chaotic data”. Physical Review A 45.8 (1992): 5524-5529.
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