Sistemas dinâmicos discretos lineares

AUTOR(ES)
DATA DE PUBLICAÇÃO

2010

RESUMO

This work studies finite dynamical systems. These are deterministic dynamical systems, with discrete time and a finite number of possible states. We focus on linear finite dynamical system (LFDS). This is a rather successful case. It can be reduced to essentially two basic subcases: bijective and nilpotent. The reduction uses tools from linear algebra, mainly the Smith normal form and the Chinese Remainder Theorem. We also employ some results on polynomials over finite elds in order to deal with bijective LFDS

ASSUNTO(S)

sistemas dinâmicos teses. corpos finitos (algebra). matemática teses.

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