Reações químicas e equações de Lienard generalizadas

• Ano de defesa: 2015
• Autor(a) principal: Claudia Pires Ferreira
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Minas Gerais; UFMG
• Palavras-chave em Português: Matemática; Equações diferenciais; Hopf, Algebra de
• Link de acesso: http://hdl.handle.net/1843/EABA-A3PGXG

On this work are presented two models of chemistry reactions and here we show how to write differential equations for the concentrations of chemistry species involved on the reaction. The first model consists of the irreversible conversion of a reagent P with a final product C withthe intermediate steps A and B. For this model we obtain a system of differential equations of Lineard type generalized that satisfy certain conditions, thereby we guarantee the existence of a unique limit cycle, that represents the existence of oscillation on the reagents. The second model consists on a chemistry reaction involving two steps wherein the second one is exothermic, that is, there is heat release. Again, we write a system of differential equations and obtain the existence of limit cycles by the Hopf theorem and we determined the stabilityof the limit cycle.