Finite dimensionality of a klein-gordon-schrödinger type system

Poulou, MN; Stavrakakis, NM

dc.contributor.author	Poulou, MN	en
dc.contributor.author	Stavrakakis, NM	en
dc.date.accessioned	2014-03-01T01:58:41Z
dc.date.available	2014-03-01T01:58:41Z
dc.date.issued	2009	en
dc.identifier.issn	19371632	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28704
dc.subject	Absorbing Set	en
dc.subject	Global Attractor	en
dc.subject	Hausdorff and Fractal Dimension	en
dc.subject	Klein-Gordon-Schr̈odinger System	en
dc.subject	Lyapunov Exponents	en
dc.title	Finite dimensionality of a klein-gordon-schrödinger type system	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/dcdss.2009.2.149	en
heal.identifier.secondary	http://dx.doi.org/10.3934/dcdss.2009.2.149	en
heal.publicationDate	2009	en
heal.abstract	In this paper we study the finite dimensionality of the global attractor for the following system of Klein-Gordon-Schrödinger type iψt + Kψxx + iαψ = φψ + f, φtt-φxx + φ + λφt =-Reψx + g, ψ(x, 0) = ψ0(x), ψ(x, 0) = φ0(x), φt(x, 0) = φ1(x), ψ(x, t) = φ(x, t) = 0, x δω, t > 0, where x 2, t > 0, λ > 0, α > 0, λ > 0, f and g are driving terms and is a bounded interval of IR. With the help of the Lyapunov exponents we give an estimate of the upper bound of its Hausdorff and Fractal dimension.	en
heal.journalName	Discrete and Continuous Dynamical Systems - Series S	en
dc.identifier.doi	10.3934/dcdss.2009.2.149	en
dc.identifier.volume	2	en
dc.identifier.issue	1	en
dc.identifier.spage	149	en
dc.identifier.epage	161	en