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Reconstructing attractors with autoencoders. | LitMetric

Reconstructing attractors with autoencoders.

Chaos

IMAS-CONICET and Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina.

Published: January 2025

We propose a method based on autoencoders to reconstruct attractors from recorded footage, preserving the topology of the underlying phase space. We provide theoretical support and test the method with (i) footage of the temperature and stream function fields involved in the Lorenz atmospheric convection problem and (ii) a time series obtained by integrating the Rössler equations.

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Source
http://dx.doi.org/10.1063/5.0232584DOI Listing

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