The parameter-space of the three-parameter A2 symmetric flow

• Main Author: Rech P.C.*
• Publication Date: 2013
• Format: Article
• Language: eng
• Source: Repositório Institucional da Udesc
• dARK ID: ark:/33523/001300000dnbx
• Download full: https://repositorio.udesc.br/handle/UDESC/8856

Three two-dimensional parameter planes of a three-parameter, three-dimensional set of autonomous nonlinear first-order differential equations used to model the A2 symmetric flow are investigated. This is done by using the three two-dimensional cross sections of the three-dimensional parameter-space generated by the model. We show that regardless of the two-parameter set considered in the parameter plane plots, all the diagrams present periodic structures embedded in a large chaotic region. We also show that these periodic structures organize themselves in different ways, including sequences whose periods have a well-defined law of formation that can be written in a closed form, and sequences organized in period-adding bifurcation cascades. © 2013 Elsevier Inc. All rights reserved.