Reconstructing equations of motion from experimental data with unobserved variables

Joseph L. Breeden, Alfred Ḧbler

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)5817-5826
Number of pages10
JournalPhysical Review A
Volume42
Issue number10
DOIs
StatePublished - Jan 1 1990

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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