Banca de QUALIFICAÇÃO: THIAGO MATHEUS CAVALHEIRO

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
DISCENTE : THIAGO MATHEUS CAVALHEIRO
DATA : 13/08/2019
HORA: 10:00
LOCAL: Sala 301 Bloco B
TÍTULO:

Sliding Bifurcations in Filippov Systems

PÁGINAS: 75
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
SUBÁREA: Geometria e Topologia
ESPECIALIDADE: Sistemas Dinâmicos
RESUMO:

The objective of this work is to study the dynamics of a piecewise-smooth dynamical system from the point of view 

of bifurcations related to the contact of periodic solutions with the discontinuity manifold Σ, especially when 

such sets find the boundary of the sliding region (subset of Σ where both vector fields point toward Σ). 

Such bifurcations are known as sliding bifurcations and, in order to study them, applications called 

Discontinuity Maps will be constructed whose purpose is to correct the behavior of the flows in neighborhoods 

of the discontinuity set Σ. In this context two problems will be studied: when a periodic trajectory in an impact 

system reaches the discontinuity manifold; when a periodic solution reaches the boundary of the sliding region. 

In both cases appropriate applications that we will call "zero-time discontinuity map" (ZDM) and 

"Poincare discontinuity map" (PDM) will be obtained.

MEMBROS DA BANCA:
Presidente - Interno ao Programa - 1544897 - MAURICIO FIRMINO SILVA LIMA
Membro Titular - Examinador(a) Externo ao Programa - 1676807 - RAFAEL RIBEIRO DIAS VILELA DE OLIVEIRA
Membro Titular - Examinador(a) Externo ao Programa - 1544346 - JEFERSON CASSIANO
Membro Suplente - Examinador(a) Interno ao Programa - 1574165 - DANIEL MIRANDA MACHADO