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Thayná Machado Catelan

CV Lattes ORCID


Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Faculdade de Ciências e Tecnologia (FCT)  (Institutional affiliation from the last research proposal)
Birthplace: Brazil

A graduate with a Bachelor's degree in Mathematics from the São Paulo State University "Júlio de Mesquita Filho" (FCT/UNESP Presidente Prudente), she is currently pursuing a Master's degree in Applied Mathematics at the same institution, with a scholarship from the São Paulo Research Foundation (FAPESP).During her undergraduate studies, she participated in the Junior Scientific Initiation Program (PIC) of the Brazilian Mathematical Olympiad (OBMEP), acting as a virtual teacher (ALs), and conducted undergraduate research funded by FAPESP. Her academic background and research activities focus on the Qualitative Theory of Ordinary Differential Equations (ODEs), with an emphasis on the study of continuous nonlinear dynamical systems, stability analysis, limit cycles, and bifurcations, with applications in the mathematical modeling of physical and biological phenomena.He has presented scientific papers at events in the field, such as the FCT-UNESP Mathematics Symposium (SMAT), the National Week of Scientific Initiation of the Brazilian Mathematical Society (SBM), and the XIV Workshop on Dynamical Systems, held at FCT-UNESP, where he presented the poster "The Melnikov method and its application in the study of chaotic behavior in the Duffing oscillator". He also served as a member of the evaluation committee for papers at the 4th Science and Technology Fair of Western São Paulo.He has experience in the use of computational tools for mathematical analysis, particularly the MAPLE software, used for numerical resolution, simulation, construction of phase portraits, and bifurcation analysis. Currently, he is developing master's research funded by FAPESP in the project "Dynamics and bifurcations of differential systems that model memristive electrical circuits", combining theoretical and computational approaches.He is a participant in the Young Researcher Program (JP Research Grant Young Researcher), in the project Averaging theory-based methods for detecting compact invariant manifolds, expanding his work in analytical methods applied to the qualitative study of dynamical systems. (Source: Lattes Curriculum)

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