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Non linear systems, bifurcations and aplications

Grant number: 19/13513-2
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): August 01, 2019
Effective date (End): July 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Ana Cristina de Oliveira Mereu
Grantee:Ricardo Campanha Almagro
Home Institution: Centro de Ciências e Tecnologias para a Sustentabilidade (CCTS). Universidade Federal de São Carlos (UFSCAR). Sorocaba , SP, Brazil

Abstract

This project aims at the study of nonlinear dynamic systems through the study of Bifurcation Theory. In the first phase an introductory study will be done on the basic results of the study of equilibria in nonlinear systems and the concept of structural stability. Next, the types of bifurcations of a dynamic system and their consequent qualitative changes will be studied in function of the variation of the parameters in each case. Finally we will select some population mathematical models and Lotka-Volterra type systems to exemplify bifurcation studies.

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