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Polynomial Modeling of Discrete Dynamic Systems on Finite State Sets
by
Aihua Li
Loyola University New Orleans
Consider a time-discrete dynamic system described by a function f: kn --> kn, where k is a finite field. It is well known that every function from kn to k is a polynomial in n variables over k. Thus a dynamic system mentioned above can be modeled by a set of n polynomials over k. This paper studies the commutative algebra methods to construct a desired polynomial model. Applications of Grobner Bases techniques in the modeling process were discussed.
Date received: March 1, 2003
Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caky-08.