Title page for ETD etd-04282005-161617


Type of Document Dissertation
Author Colon-Reyes, Omar
Author's Email Address ocolonre@vt.edu
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
Abstract
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.

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