Banca de DEFESA: GLEYDSON SANTOS DA SILVA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : GLEYDSON SANTOS DA SILVA
DATE: 16/02/2024
TIME: 14:00
LOCAL: Instituto de Matemática
TITLE:

QUADRATIC RESPONSE OF RANDOM AND DETERMINISTIC DYNAMICAL
SYSTEMS

KEY WORDS:

Dynamical Systems, Quadratic Response, Expanding Maps 

PAGES: 72
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Sistemas Dinâmicos
SUMMARY:

The present work involves the study of the article "Quadratic Response of Random and Deterministic Dynamical Systems" [1], which investigates sufficient conditions for dynamic systems to exhibit a linear response. Additionally, if, in addition to such conditions, other conditions are also observed, the system may exhibit a quadratic response in its stationary measures. It is noteworthy that, although the original article also deals with random dynamical systems, the focus of the current work is on the study of deterministic dynamical systems, emphatically on the study of deterministic dynamical systems with expanding applications on the unit circle. This constitutes a wide range of deterministic dynamical systems and, as we will see, they manifest the desired conditions and, therefore, exhibit linear and/or quadratic responses in their invariant measures when subjected to small perturbations.

COMMITTEE MEMBERS:
Presidente - 1226894 - RAFAEL NOBREGA DE OLIVEIRA LUCENA
Interno(a) - 2362244 - DAVI DOS SANTOS LIMA
Externo(a) à Instituição - RAFAEL JOSE ALVAREZ BILBAO