Singular perturbation of codimension-3 singularities of planar piecewise smooth vector fields

• Grant number: 23/18081-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2024
• End date: January 31, 2028
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Tiago de Carvalho
• Grantee: Bruno de Souza Rangel
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 22/02819-6 - Intermittent vector fields: theoretical aspects and applications, AP.PNGP.PI

Abstract

We will study topics concerning the Qualitative Theory of Ordinary Differential Equations. More precisely, we will study planar piecewise smooth vector fields presenting a comendion-3 singularity in the switching manifold. In order to obtain the dinamical behavior, we wil use blow-ups and analise the singular perturbation problem associated.