2023-09-252023-09-252021SANTOS, Vinícius Lima dos. Sistemas dinâmicos: da poeira de cantor aos caos de davaney. Orientador: Márcio Lima do Nascimento. 2021. 149 f. Trabalho de Curso (Licenciatura em Matemática) – Faculdade de Matemática, Instituto de Ciências Exatas e Naturais, Universidade Federal do Pará, Belém, 2021. Disponível em: https://bdm.ufpa.br/jspui/handle/prefix/6236. Acesso em:.https://bdm.ufpa.br/handle/prefix/6236This research was elaborated envisioning the contribution to the knowledge and understanding of the Theory of Dynamical Systems in low dimension, in Higher Education. This work is consecutive of bibliographic studies and presentations in events, such as the Pan-Amazonian Congress of Mathematics (COPAM) 2018 - which developed for three years on this topic. A study was conducted in line with Robert Devaney’s theory about some families of fundamental applications, such as Baker, Tent and, essentially, Quadratic Family Logistics,witha bias of proving their chaotic behaviors. The main references are the textbooks of (Devaney,2003) and (Alligood, Sauer,Yorke,1996), whose purposes are to present consequences that culminate in behaviors with the following global characteristics: high regularity; high randomness; high mixture of orbits – behaviors that we will later understand as chaotic. Finally, such results of dynamic systems theory that we will submit and demonstrate are important envisioning the contribution to the curricular componentsoftheundergraduatecourse. Thus,once it is understood that although it is not always possible to explicitly highlight the dynamics topics addressed in the undergraduate course, the study based on this work is necessary through the lack of explicit approaches in the undergraduate course.Acesso AbertoCaosFamília quadráticaConjuntos de cantorExpoente de LyapunovDynamical SystemsChaosQuadratic FamilyCantorsetsLyapunov ExponentCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICATrabalho de Curso - Graduação - Monografia