Helena Reis - Complex ODEs, singularity theory and dynamics

cm:12651 - Communications in Mathematics, May 31, 2024, Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics) - https://doi.org/10.46298/cm.12651
Complex ODEs, singularity theory and dynamicsArticle

Authors: Helena Reis

    These notes are a slightly enlarged version of my habilitation thesis, where our research interest and main results in the past few years are summarized. Most of the discussion revolves around complex ordinary differential equations and their underling foliations, singularity theory and dynamical systems. Compared to the original text, a section containing some background material on holomorphic foliations was added. Also some new results obtained in the past three years that are in line with the one presented in the habilitation were included.

    Volume: Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics)
    Published on: May 31, 2024
    Accepted on: February 10, 2024
    Submitted on: December 5, 2023
    Keywords: Mathematics - Dynamical Systems,Mathematics - Classical Analysis and ODEs

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