||The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. In fact, overall result are presented to ensure the existence of limit cycles of such systems. These result may represent new insights in averaging, in particular its relation with non smooth dynamical systems theory. An application is presented in careful detail.
||Tots els drets reservats.
||article ; recerca ; preprint
Averaging theory ;
discontinuous differential system ;
||Bulletin des Sciences Mathematiques, Vol. 139 (2015) , p. 229-244, ISSN 0007-4497