Averaging theory for discontinuous piecewise differential systems

We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.

Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Mereu, Ana Cristina, Novaes, Douglas D.|||0000-0002-9147-8442
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:145341
Acceso en línea:https://ddd.uab.cat/record/145341
https://dx.doi.org/urn:doi:10.1016/j.jde.2015.01.022
Access Level:acceso abierto
Palabra clave:Discontinuous differential systems
Nonsmooth dynamical system
Periodic solutions
Descripción
Sumario:We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.