Banca de DEFESA: ANYELE LIMA ARAÚJO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : ANYELE LIMA ARAÚJO
DATA : 15/09/2020
HORA: 16:00
LOCAL: Online
TÍTULO:

Wada property on one-dimensional maps

PÁGINAS: 23
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
SUBÁREA: Geometria e Topologia
ESPECIALIDADE: Sistemas Dinâmicos
RESUMO:

A dynamical system is said to have the Wada property if it has at least three basins of attraction and the boundaries of all coincide. This property was first defined in 1917 in the context of Fundamentals of Topology, being associated with Dynamical Systems only in the end of the last century.In the present work,  we study dynamical systems  that display the Wada property and use a numerically verifiable tool (called Wada criterion) to test if one-dimensional maps have the Wada property.  The Wada criterion was used to construct and characterize a new one-dimensional map that presents the Wada property. In addition it has been proved that the Wada property is invariant under conjugancy  and it was found that the Wada criterion can be used in one-dimensional maps with more than three basins of attraction.

MEMBROS DA BANCA:
Presidente - Interno ao Programa - 1574165 - DANIEL MIRANDA MACHADO
Membro Titular - Examinador(a) Externo ao Programa - 1544390 - EDUARDO GUERON
Membro Titular - Examinador(a) Externo à Instituição - RENE ORLANDO MEDRANO TORRICOS - UNIFESP
Membro Suplente - Examinador(a) Externo ao Programa - 1544346 - JEFERSON CASSIANO
Membro Suplente - Examinador(a) Externo à Instituição - CHRISTIAN DA SILVA RODRIGUES - UNICAMP