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 partic...
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Virginia Tech
2014
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| Online Access: | http://hdl.handle.net/10919/27415 http://scholar.lib.vt.edu/theses/available/etd-04282005-161617/ |
| Summary: | 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. |
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