Aragones-Geney, Ernes Ch.

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    Teoria de control para sistemas dinámicos monomiales sobre cuerpos finitos
    (2010-12) Aragones-Geney, Ernes Ch.; Colón-Reyes, Omar; College of Arts and Sciences - Sciences; Bollman, Dorothy; Castellini, Gabriele; Department of Mathematics; Papadopoulos, Christopher
    Monomical dynamical systems over finite fields have been studied in several contexts, including engineering and mathematical biology. Criteria for determining when a system described by monomials over finite fields, is a fixed point have already been determined. In this paper develop criteria for stability in monomial control dynamical systems over finite fields, ƒ : F_q^n × F_q^m → F_q^n , where q is a Carmichael prime. For this we introduce the concept weakly stabilizable using the triangular systems of fixed point.