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dc.contributor.authorChicone, Carmen
dc.contributor.authorLiu, Weishi
dc.date.accessioned2015-03-03T21:09:10Z
dc.date.available2015-03-03T21:09:10Z
dc.date.issued2000-01-01
dc.identifier.citationChicone, Carmen & Liu, Weishi. "On the continuation of an invariant torus in a family with rapid oscillations." SIAM J. Math. Anal., 31(2), 386–415. (30 pages). http://dx.doi.org/10.1137/S0036141098338740.en_US
dc.identifier.urihttp://hdl.handle.net/1808/16949
dc.descriptionThis is the published version, also available here: http://dx.doi.org/10.1137/S0036141098338740.en_US
dc.description.abstractA persistence theorem for attracting invariant tori for systems subjected to rapidly oscillating perturbations is proved. The singular nature of these perturbations prevents the direct application of the standard persistence results for normally hyperbolic invariant manifolds. However, as is illustrated in this paper, the theory of normally hyperbolic invariant manifolds, when combined with an appropriate continuation method, does apply.en_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.subjectpersistenceen_US
dc.subjectcontinuationen_US
dc.subjectrapid oscillationen_US
dc.subjectinvariant torusen_US
dc.titleOn the continuation of an invariant torus in a family with rapid oscillationsen_US
dc.typeArticle
kusw.kuauthorLiu, Weishi
kusw.kudepartmentMathematicsen_US
dc.identifier.doi10.1137/S0036141098338740
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item does not meet KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


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