Colon-Reyes, Omar2014-03-142014-03-142005-04-28etd-04282005-161617http://hdl.handle.net/10919/27415Linking 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.In Copyrightstate space structurefinite fieldpolynomial dynamical systemDissertationhttp://scholar.lib.vt.edu/theses/available/etd-04282005-161617/