Browsing by Author "Colon-Reyes, Omar"
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- Monomial Dynamical Systems over Finite FieldsColon-Reyes, Omar (Virginia Tech, 2005-04-28)Linking 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.