Monomial Dynamical Systems over Finite Fields

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.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2005

Author dc:creator

• Colon-Reyes, Omar

Chair dc:contributor.committeechair

• Laubenbacher, Reinhard C.

Committee members dc:contributor.committeemember

• Brown, Ezra A.
• Beattie, Christopher A.
• Linnell, Peter A.
• Green, Edward L.

• state space structure
• finite field
• polynomial dynamical system

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-04282005-161617

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/27415