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dc.contributor.advisorOcasio, Victor
dc.contributor.authorGómez-Angarita, Germán
dc.description.abstractIn 2005, Colón and others [3] gave necessary and sufficient conditions for a monomial dynamical system over a finite field to be a fixed point system, that is, all cycles are of length one. Moreover, in 2009, Ocasio, Colón and others [8] gave necessary and sufficient stabilization conditions for a boolean monomial dynamical system. We make use of such criteria to study the concept of stability over n-tuple cartesian product of the field Fq, where n = 2 and q = 2r +1 prime with r ≥ 1. This work contains necessary and sufficient conditions to determine when a monomial dynamic control system with a unique control variable over [ ] is stabilizable.en_US
dc.subjectDynamical systemen_US
dc.subject.lcshFinite fields (Algebra)
dc.titleEstabilidad de sistemas dinámicos monomiales sobre cuerpos finitosen_US
dc.title.alternativeStability of monomial dynamical systems over finite fielden_US
dc.rights.licenseAll rights reserveden_US
dc.rights.holder(c) 2016 Germán Gómez Angaritaen_US
dc.contributor.committeeBarety, Julio
dc.contributor.committeeCastellini, Gabriele
dc.contributor.committeeCabrera, Mauricio Mathematicsen_US
dc.contributor.collegeCollege of Arts and Sciences - Sciencesen_US
dc.contributor.departmentDepartment of Mathematicsen_US

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