Monomial Dynamical Systems over Finite Fields

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dc.contributor.authorColon-Reyes, Omaren
dc.contributor.committeechairLaubenbacher, Reinhard C.en
dc.contributor.committeememberBrown, Ezra A.en
dc.contributor.committeememberBeattie, Christopher A.en
dc.contributor.committeememberLinnell, Peter A.en
dc.contributor.committeememberGreen, Edward L.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:11:11Zen
dc.date.adate2005-04-29en
dc.date.available2014-03-14T20:11:11Zen
dc.date.issued2005-04-28en
dc.date.rdate2005-04-29en
dc.date.sdate2005-04-28en
dc.description.abstractLinking the structure of a system with its dynamics is an important problem in the theory of finite dynamical systems. For monomial dynamical systems, that is, a system that can be described by monomials, information about the limit cycles can be obtained from the monomials themselves. In particular, this work contains sufficient and necessary conditions for a monomial dynamical system to have only fixed points as limit cycles.en
dc.description.degreePh. D.en
dc.identifier.otheretd-04282005-161617en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-04282005-161617/en
dc.identifier.urihttp://hdl.handle.net/10919/27415en
dc.publisherVirginia Techen
dc.relation.haspartTHESIS.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectstate space structureen
dc.subjectfinite fielden
dc.subjectpolynomial dynamical systemen
dc.titleMonomial Dynamical Systems over Finite Fieldsen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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