About: Invariant manifold

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In dynamical systems, a branch of mathematics, an invariant manifold is a topological manifold that is invariant under the action of the dynamical system. Examples include the slow manifold, center manifold, stable manifold, unstable manifold, and inertial manifold. Typically, although by no means always, invariant manifolds are constructed as a 'perturbation' of an invariant subspace about an equilibrium.In dissipative systems, an invariant manifold based upon the gravest, longest lasting modes forms an effective low-dimensional, reduced, model of the dynamics.

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rdfs:label	Invariant manifold (en)
rdfs:comment	In dynamical systems, a branch of mathematics, an invariant manifold is a topological manifold that is invariant under the action of the dynamical system. Examples include the slow manifold, center manifold, stable manifold, unstable manifold, and inertial manifold. Typically, although by no means always, invariant manifolds are constructed as a 'perturbation' of an invariant subspace about an equilibrium.In dissipative systems, an invariant manifold based upon the gravest, longest lasting modes forms an effective low-dimensional, reduced, model of the dynamics. (en)
sameAs	Invariant manifold Invariant manifold
dbp:wikiPageUsesTemplate	dbt:Refimprove dbt:Reflist
Subject	Dynamical systems
gold:hypernym	Manifold
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Invariant_manifold?oldid=1059243263&ns=0
Wikipage page ID	29763944 (xsd:integer)
page length (characters) of wiki page	4767 (xsd:nonNegativeInteger)
Wikipage revision ID	1059243263 (xsd:integer)
Link from a Wikipage to another Wikipage	Non-autonomous system (mathematics) Slow manifold Dynamical systems Center manifold Differential equation Hyperbolic set Dynamical system Spectral submanifold Invariant subspace Lagrangian coherent structure Manifold Stable manifold Topological manifold Mathematics Inertial manifold dbr:Subcenter_manifold
has abstract	In dynamical systems, a branch of mathematics, an invariant manifold is a topological manifold that is invariant under the action of the dynamical system. Examples include the slow manifold, center manifold, stable manifold, unstable manifold, and inertial manifold. Typically, although by no means always, invariant manifolds are constructed as a 'perturbation' of an invariant subspace about an equilibrium.In dissipative systems, an invariant manifold based upon the gravest, longest lasting modes forms an effective low-dimensional, reduced, model of the dynamics. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Invariant_manifold
is Wikipage redirect of	Invariant set
is Link from a Wikipage to another Wikipage of	N-body problem Nonlinear dimensionality reduction Invariant set Center manifold Hinke Osinga Left and right (algebra) Method of averaging Chemical reaction network theory Homoclinic connection Homology (mathematics) Bucket-handle Kathleen Howell Chaotic scattering Hamid Naderi Yeganeh Invariant subspace Lagrangian coherent structure Knaster–Tarski theorem Lyapunov dimension Markov partition Inertial manifold
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Invariant_manifold

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