Institutional Repository

A rapid method for approximating invariant manifolds of differential equations

DSpace/Manakin Repository

Show simple item record

dc.contributor.advisor Roussel, Marc
dc.contributor.author Tang, Shouchun (Terry)
dc.contributor.author University of Lethbridge. Faculty of Arts and Science
dc.date.accessioned 2007-07-13T17:58:22Z
dc.date.available 2007-07-13T17:58:22Z
dc.date.issued 2006
dc.identifier.uri http://hdl.handle.net/10133/356
dc.description vii, 61 leaves ; 29 cm. en
dc.description.abstract The Intrinsic Low-Dimensional Manifold (ILDM) has been adopted as an approximation to the slow manifold representing the long-term evolution of a non-linear chemical system. The computation of the slow manifold simplifies the model without sacrificing accuracy because the trajectories are rapidly attracted to it. The ILDM has been shown to be a highly accurate approximation to the manifold when the curvature of the manifold is not too large. An efficient method of calculating an approximation to the slow manifold which may be equivalent to the ILDM is presented. This method, called Functional Equation Truncation (FET). is based on the assumption that the local curvature of the manifold is negligible, resulting in a locally linearized system. This system takes the form of a set of algebraic equations which can be solved for given values of the independent variables. Two-dimensional and three-dimensional models are used to test this method. The approximations to onedimensional slow manifolds computed by FET are quite close to the corresponding ILDMs and those for two-dimensional ones seem to differ from their ILDM counterparts. en
dc.language.iso en_US en
dc.publisher Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2006 en
dc.relation.ispartofseries Thesis (University of Lethbridge. Faculty of Arts and Science) en
dc.subject Dissertations, Academic en
dc.subject Manifolds (Mathematics) en
dc.subject Low-dimensional topology en
dc.subject Differential equations en
dc.title A rapid method for approximating invariant manifolds of differential equations en
dc.type Thesis en
dc.publisher.faculty Arts and Science en
dc.publisher.department Department of Chemistry and Biochemistry en

Files in this item

This item appears in the following Collection(s)

Show simple item record

Related Items

Search DSpace


Advanced Search

Browse

My Account

Statistics