Advanced search
Start date
Betweenand

Bifurcation phenomena in time of differential equations

Grant number: 21/14450-4
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): September 01, 2022
Effective date (End): August 31, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Cláudio Gomes Pessoa
Grantee:Lucas Queiroz Arakaki
Supervisor abroad: Jordi Villadelprat
Home Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
Research place: Universitat Autònoma de Barcelona (UAB), Spain  
Associated to the scholarship:19/13040-7 - Nilpotent centers on the center manifolds, BP.DR

Abstract

This project contemplates the study of the time of the solution curves for differential equationswhen distinct types of bifurcations occur, focusing in three topics: the study of the period of limit-cycles generated by non-elementary bifurcations, the time delay associated to the bottleneck or ghost phenomenom and the improvement of tools to obtain uniform developments of the period function for the cases in which the topology of a given polycycle is altered. The questions involved in this study are deeply related to the 16th Hilbert's problem and its weaker versions.

News published in Agência FAPESP Newsletter about the scholarship:
Articles published in other media outlets (0 total):
More itemsLess items
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Please report errors in scientific publications list by writing to: cdi@fapesp.br.