Invariant algebraic curves and integrability in differentiable polynomial systems

• Grant number: 18/07176-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2018
• End date: December 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Maria Aparecida Soares Ruas
• Grantee: Maíra Duran Baldissera
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM

Abstract

The main objective of the project is to introduce the student to the Qualitative theory of Ordinary Differential Equations, in special to the concept of integrability to planar polynomial differential systems. (AU)