Sistemas dinâmicos discretos lineares

• Ano de defesa: 2010
• Autor(a) principal: Roney Rachide Nunes
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Minas Gerais; UFMG
• Palavras-chave em Português: Sistema dinâmico; finito linear; Matemática; Corpos finitos (Algebra); Sistemas dinâmicos
• Link de acesso: http://hdl.handle.net/1843/EABA-85FJBK

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 RemainderTheorem. We also employ some results on polynomials over finite elds in order to deal with bijective LFDS