Monomial Dynamical Systems over Finite Fields

• Main Author: Colon-Reyes, Omar
• Other Authors: Mathematics
• Format: Others
• Published: Virginia Tech 2014
• Subjects: state space structure; finite field; polynomial dynamical system
• Online Access: http://hdl.handle.net/10919/27415; http://scholar.lib.vt.edu/theses/available/etd-04282005-161617/

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. === Ph. D.