Scholarship 19/26947-0 - Física matemática, Sistemas dinâmicos - BV FAPESP
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An introduction to chaotic systems via linear dynamics

Grant number: 19/26947-0
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Start date until: February 01, 2020
End date until: January 31, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Rodrigo Bissacot Proença
Grantee:Débora de Oliveira
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

The current project aims to insert the student into the academy through contact with current articles on chaotic systems, more specifically it will be studied Li-Yorke Chaos and mean Li-Yorke Chaos. Along with the development of the project, the student will increase her knowledge in Mathematical Physics and will have an undergraduate degree with an emphasis on Measure Theory, Functional Analysis, and Dynamical Systems. At the end, the student will have developed mathematical research skills, which will be useful at graduate level. In particular, she will be able to discuss current advances on Li-Yorke Chaos which involve approaches on Lp spaces and relations with another type of chaos, such as distributional chaos type 2. (AU)

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