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Piecewise smooth vector fields: theory and applications


In this research project we will beinterested in studying new topics related to continuous time Dynamical Systems. We will seek both theoretical results and applications in areas such as: Biology, Engineering and Economics. Among the main results to be studied are: dynamics of evolution models of diseases such as cancer, HIV-AIDS and COVID-19; obtaining minimal sets for piecewise smooth vector fields that have no analogue in the smooth case; defining and obtaining properties of sliding fields in double tangency manifolds; symbolic dynamics and entropy;system dynamics (smooth or piecewise smooth) of singularly perturbed ordinary differential equations. (AU)

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