Advanced search
Start date
Betweenand

Generic bifurcations and equivalence relations in piecewise smooth vector fields

Grant number: 14/18707-6
Support type:Scholarships in Brazil - Master
Effective date (Start): May 01, 2015
Effective date (End): February 28, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Tiago de Carvalho
Grantee:Otavio Henrique Perez
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
Associated research grant:13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM

Abstract

In this project we will study qualitative and geometric aspects about piecewise smooth vector fields (either called discontinuous vector fields or Filippov systems) defined in the plan. The study of such fields has been of great interest in recent years, not only for the beauty and mathematical challenges involved in their analysis, but also by the enormous applicability of discontinuous vector fields in problems of Engineering, Physics, Economics, Biology, Chemistry, and other areas. Our focus will be to study local and global bifurcations of codimension one and two and also some equivalence relations for piecewise smooth vector fields defined in the plan. Classify and characterize generic bifurcations using the phase portrait and the bifurcation diagram of the fields involved and discuss how the two fields can be piecewise smooth equivalent in an equivalence relation and no longer according to another relationship. We will also relate the classical theory of smooth vector fields and the theory of piecewise smooth vector fields. (AU)

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)

Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
PEREZ, Otávio Henrique. Bifurcações genéricas e relações de equivalência em campos de vetores suaves por partes. 2017. 124 f. Master's Dissertation - Universidade Estadual Paulista "Júlio de Mesquita Filho" Instituto de Biociências, Letras e Ciências Exatas..

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