Bifurcation of semialgebraic maps
| dc.contributor.author | Drendel, Jesse William, author | |
| dc.contributor.author | Bates, Daniel, advisor | |
| dc.contributor.author | Shipman, Patrick, advisor | |
| dc.contributor.author | Tavener, Simon, committee member | |
| dc.contributor.author | Antolin, Michael, committee member | |
| dc.date.accessioned | 2007-01-03T06:37:41Z | |
| dc.date.available | 2007-01-03T06:37:41Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | A 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.medium | born digital | |
| dc.format.medium | masters theses | |
| dc.identifier | Drendel_colostate_0053N_12598.pdf | |
| dc.identifier.uri | http://hdl.handle.net/10217/83889 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2000-2019 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.title | Bifurcation of semialgebraic maps | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Science (M.S.) |
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