Extracting qualitative dynamics from experimental data

doi:10.1016/0167-2789(86)90031-X

Physica D: Nonlinear Phenomena

Volume 20, Issues 2–3, June–July 1986, Pages 217-236

https://doi.org/10.1016/0167-2789(86)90031-X Get rights and content

Abstract

We consider the notion of qualitative information and the practicalities of extracting it from experimental data. Our approach, based on a theorem of Takens, draws on ideas from the generalized theory of information known as singular system analysis due to Bertero, Pike and co-workers. We illustrate our technique with numerical data from the chaotic regime of the Lorenz model.

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^∗: Also at: Imperial College of Science and Technology, Department of Mathematics, Huxley Building, Queens Gate, London, SW7 2BZ, UK.

View full text

Extracting qualitative dynamics from experimental data

Abstract

Physica

Z. Naturforsch

Geometry from a time series

Phys. Rev. Lett.

Detecting strange attractors in turbulence

Resolution in diffraction-limited imaging, a singular value analysis. I: The case of coherent illumination

Opt. Acta.

Generalised information theory for inverse problems in signal processing

Mechanistic details of the Belousov-Zhabotinskii oscillations

Int. J. Chem. Kinet.

Instabilities and transition in flow between concentric rotating cylinders

Mémoire sur les courbes définies par les équations différentielles I–VI

Sur les équations de la dynamique et le Probléme de trois corps

Acta Math.

Les Méthodes Nouvelles de la Mécanique Céleste

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields