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|Title:||Center Manifolds for Invariant Sets|
|Authors:||Chow, S.-N. |
|Citation:||Chow, S.-N., Liu, W., Yi, Y. (2000-12-10). Center Manifolds for Invariant Sets. Journal of Differential Equations 168 (2) : 355-385. ScholarBank@NUS Repository. https://doi.org/10.1006/jdeq.2000.3890|
|Abstract:||We derive a general center manifolds theory for a class of compact invariant sets of flows generated by a smooth vector field in Rn. By applying the Hadamard graph transform technique, it is shown that, associated to a natural dynamical characteristic of the linearized flow along the invariant set, there exists an invariant manifold (called a center manifold) of the invariant set which contains every locally bounded solution (in particular, contains the invariant set) and is persistent under small perturbations. © 2000 Academic Press.|
|Source Title:||Journal of Differential Equations|
|Appears in Collections:||Staff Publications|
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