Persistence of Invariant Manifolds for Perturbations of Semiflows with Symmetry
| dc.contributor.author | Zeng, Chongchun ( ) | |
| dc.date.accessioned | 2019-11-22T18:48:09Z | |
| dc.date.available | 2019-11-22T18:48:09Z | |
| dc.date.issued | 1999-03-18 | |
| dc.identifier.citation | Zeng, C. (1999). Persistence of invariant manifolds for perturbations of semiflows with symmetry. Electronic Journal of Differential Equations, 1999(16), pp. 1-13. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/8883 | |
| dc.description.abstract | Consider 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. | en_US |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Semiflow | en_US |
| dc.subject | Invariant manifold | en_US |
| dc.subject | Symmetry | en_US |
| dc.title | Persistence of Invariant Manifolds for Perturbations of Semiflows with Symmetry | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
