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Piecewise smooth vector fields on compact manifolds

Abstract

In this project, we will continue to study piecewise smooth dynamical systems that are defined in compact manifolds. While the local theory of piecewise smooth dynamical systems is in a fairly advanced stage, the same cannot be said about its global properties. The main aim of this project is to study (i) the existence of periodic orbits and other invariant sets and (ii) the establishment of Poincaré-Hopf type results for such systems. (AU)

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