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dc.contributor.advisorBates, Daniel
dc.contributor.advisorShipman, Patrick
dc.contributor.authorDrendel, Jesse William
dc.contributor.committeememberTavener, Simon
dc.contributor.committeememberAntolin, Michael
dc.date.accessioned2007-01-03T06:37:41Z
dc.date.available2007-01-03T06:37:41Z
dc.date.issued2014
dc.description2014 Summer.
dc.descriptionIncludes bibliographical references.
dc.description.abstractA semi-algebraic map is a function from a space to itself whose domain and graph are unions of solutions to systems of polynomial equations and inequalities. Thus it is a very general object with many applications, some from population genetics. The isoclines of such a map are semi-algebraic sets, which enjoy many striking properties, the most consequential of which here is that there is an algorithm to compute a "cylindrical decomposition" adapted to any finite family of semi-algebraic sets. The main subject of this paper is that a cylindrical decomposition adapted to the isoclines of a semi-algebraic map partitions parameter space into a tree which isolates bifurcations.
dc.format.mediumborn digital
dc.format.mediummasters theses
dc.identifierDrendel_colostate_0053N_12598.pdf
dc.identifier.urihttp://hdl.handle.net/10217/83889
dc.languageEnglish
dc.publisherColorado State University. Libraries
dc.relation.ispartof2000-2019 - CSU Theses and Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.titleBifurcation of semialgebraic maps
dc.typeText
dcterms.rights.dplaThe copyright and related rights status of this Item has not been evaluated (https://rightsstatements.org/vocab/CNE/1.0/). Please refer to the organization that has made the Item available for more information.
thesis.degree.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science (M.S.)


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