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.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    THESIS.pdf 455.91 Kb 00:02:06 00:01:05 00:00:56 00:00:28 00:00:02

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