Resumen de Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems

Jaume Llibre , Douglas Duarte Novaes, Iris de Oliveira Zeli

• The averaging theory has been extensively employed for studying periodic solutions of smooth and nonsmooth differential systems. Here, we extend the averaging theory for studying periodic solutions a class of regularly perturbed non-autonomous n-dimensional discontinuous piecewise smooth differential system.