Bifurcações e leis de escala em mapeamentos discretos bidimensionais

• Autor(a) principal: Ramos, Pamella Vanessa de Almeida [UNESP]
• Data de Publicação: 2016
• Tipo de documento: Trabalho de conclusão de curso
• Idioma: por
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://hdl.handle.net/11449/155510; http://www.athena.biblioteca.unesp.br/exlibris/bd/capelo/2017-05-30/000885243.pdf
• topic: Física; Teoria da bifurcação; Partículas (Física nuclear)

Some scaling properties for a period doubling bifurcation observed in the Fermi-Ulam model are studied. The system consists of a classical particle confined to move inside of two rigid walls. One of them is fixed while the other one moves periodically in time. The model is described by a two-dimensional, nonlinear and discrete mapping for the variables velocity of the particle and phase of the moving wall at the instant of the collision. We shown that at a period doubling bifurcation, the distance from the fixed Point is described by a homogeneous and generalized function leading to a scaling law with three critical exponents. The formalism used in this work has been applied for the first time in two dimensional mappings, hence being an original contribution to the area