Persistence of Invariant Manifolds for Perturbations of Semiflows with Symmetry

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dc.contributor.authorZeng, Chongchun
dc.date.accessioned2019-11-22T18:48:09Z
dc.date.available2019-11-22T18:48:09Z
dc.date.issued1999-03-18
dc.description.abstractConsider a semiflow in a Banach space, which is invariant under the action of a compact Lie group. Any equilibrium generates a manifold of equilibria under the action of the group. We prove that, if the manifold of equilibria is normally hyperbolic, an invariant manifold persists in the neighborhood under any small perturbation which may break the symmetry. The Liapunov-Perron approach of integral equations is used.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZeng, C. (1999). Persistence of invariant manifolds for perturbations of semiflows with symmetry. <i>Electronic Journal of Differential Equations, 1999</i>(16), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8883
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSemiflow
dc.subjectInvariant manifold
dc.subjectSymmetry
dc.titlePersistence of Invariant Manifolds for Perturbations of Semiflows with Symmetry
dc.typeArticle

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