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Phys. Rev. A 42, 5817–5826 (1990)

Reconstructing equations of motion from experimental data with unobserved variables

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Joseph L. Breeden and Alfred Hübler
Center for Complex Systems Research–Beckman Institute Department of Physics, University of Illinois, 405 North Mathews Avenue, Urbana, Illinois 61801

Received 13 August 1990; published in the issue dated November 1990

We have developed a method for reconstructing equations of motion for systems where all the necessary variables have not been observed. This technique can be applied to systems with one or several such hidden variables, and can be used to reconstruct maps or differential equations. The effects of experimental noise are discussed through specific examples. The control of nonlinear systems containing hidden variables is also discussed.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.42.5817
DOI:
10.1103/PhysRevA.42.5817
PACS:
05.45.+b, 02.70.+d, 03.20.+i, 06.50.Dc