Ergodic and qualitative theories of dynamical systems III

• Grant number: 24/15612-6
• Support Opportunities: Research Projects - Thematic Grants
• Start date: July 01, 2025
• End date: June 30, 2030
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Aguinaldo Buzzi
• Grantee: Claudio Aguinaldo Buzzi
• Host 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
• Pesquisadores principais: Ali Messaoudi ; Douglas Duarte Novaes ; Eduardo Garibaldi ; José Régis Azevedo Varão Filho ; Paulo Ricardo da Silva
• Associated researchers: Ana Cristina de Oliveira Mereu ; Benito Frazao Pires ; Cláudio Gomes Pessoa ; Gabriel Ponce ; Glauco Valle da Silva Coelho ; Jéfferson Luiz Rocha Bastos ; João Carlos da Rocha Medrado ; Manuel Stadlbauer ; Marcelo Messias ; Marcelo Sobottka ; Márcio Ricardo Alves Gouveia ; Maurício Firmino Silva Lima ; Murilo Rodolfo Cândido ; Nilson da Costa Bernardes Junior ; Patricia Romano Cirilo ; Ricardo Miranda Martins ; Tiago de Carvalho ; Vanderlei Minori Horita

Abstract

This project is a continuation of two previous thematic projects: Ergodic and Qualitative Theories of Dynamical Systems (process 2013/24541-0) and Ergodic and Qualitative Theories of Dynamical Systems II (process 2019/10269-3). Our goal is to study problems in the field of dynamical systems and their connections with other areas such as Analysis, Number Theory, and Topology. The problems to be studied in this project fall into two major research lines: Continuous Dynamical Systems and Discrete Dynamical Systems.The host institution for the project is UNESP, São José do Rio Preto campus. In this third edition, UNICAMP will serve as a partner institution in the development of the thematic project. The main research team consists of researchers with significant scientific output, experience in supervising doctoral students, and coordinating projects. The main researchers from previous editions (Buzzi, Messaoudi, and Silva - UNESP) have been retained, and new scientific leaders have been included as main researchers (Novaes, Garibaldi, and Varão) from UNICAMP. These new main researchers have distinguished themselves in producing results in the proposed research theme, as well as in internationalization, human resource development, and coordinating new projects. In a later stage, should this proposal be approved, around 17 new researchers will be included in the full project. The associated researchers to be included are young researchers from other UNESP campuses, from other institutions in the state of São Paulo, as well as experienced researchers from Brazil and abroad who are frequent collaborators with the main researchers.As in previous editions, the project will be guided by the following actions: i) national and international exchange with high-level visiting professors from both Brazilian institutions and international institutions from countries such as France, Spain, Portugal, England, the United States, Belgium, and Chile; ii) participation in conferences and visits to centers of excellence; iii) publication of the results obtained in journals of recognized scientific value; iv) training and qualification of human resources. (AU)