Spectral submanifold

id: spectral-submanifold-307-2103076
title: Spectral submanifold
text: In dynamical systems, a spectral submanifold (SSM) is the unique smoothest invariant manifold serving as the nonlinear extension of a spectral subspace of a linear dynamical system under the addition of nonlinearities. SSM theory provides conditions for when invariant properties of eigenspaces of a linear dynamical system can be extended to a nonlinear system, and therefore motivates the use of SSMs in nonlinear dimensionality reduction.
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Spectral_submanifold
date created:
date modified: 2024-01-04T20:27:47Z
main entity: {"identifier":"Q110313730","url":"https://www.wikidata.org/entity/Q110313730"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/1f/Spectral_submanifold.JPG","width":1413,"height":743}
fields total: 13
integrity: 14

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