Singular perturbations of finite dimensional gradient flows

dc.contributor.areaMathematicsen_US
dc.contributor.authorZanini, Chiaraen_US
dc.contributor.departmentFunctional Analysis and Applicationsen_US
dc.date.accessioned2006-07-26T08:45:16Zen_US
dc.date.accessioned2011-09-07T20:27:34Z
dc.date.available2006-07-26T08:45:16Zen_US
dc.date.available2011-09-07T20:27:34Z
dc.date.issued2006-07-26T08:45:16Zen_US
dc.description.abstractIn this paper we give a description of the asymptotic behavior, as $\epsilon\to 0$, of the $\epsilon$-gradient flow in the finite dimensional case. Under very general assumptions we prove that it converges to an evolution obtained by connecting some smooth branches of solutions to the equilibrium equation (slow dynamics) through some heteroclinic solutions of the gradient flow (fast dynamics).en_US
dc.format.extent241737 bytesen_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationDiscrete Contin. Dyn. Syst. 18 (2007) 657-675en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/1847en_US
dc.language.isoen_USen_US
dc.relation.ispartofseriesSISSA;41/2006/Men_US
dc.relation.ispartofseriesarXiv.org;math.FA/0607461en_US
dc.titleSingular perturbations of finite dimensional gradient flowsen_US
dc.typePreprinten_US
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