Type of Document Dissertation Author Colon-Reyes, Omar Author's Email Address email@example.com URN etd-04282005-161617 Title Monomial Dynamical Systems over Finite Fields Degree PhD Department Mathematics Advisory Committee
Advisor Name Title Laubenbacher, Reinhard C. Committee Chair Beattie, Christopher A. Committee Member Brown, Ezra A. Committee Member Green, Edward L. Committee Member Linnell, Peter A. Committee Member Keywords
- state space structure
- finite field
- polynomial dynamical system
Date of Defense 2005-04-28 Availability unrestricted 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.
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