Averaging theory for discontinuous piecewise differential systems

Author(s)

Llibre, Jaume ^[1] ; Mereu, Ana C. ^[2] ; Novaes, Douglas D. ^[3]

Affiliation

^[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain

^[2] Univ Fed Sao Carlos, Dept Fis Quim & Matemat, BR-18052780 Sorocaba, SP - Brazil

^[3] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil

• Document type: Journal article
• Source: Journal of Differential Equations; v. 258, n. 11, p. 4007-4032, JUN 5 2015.
• Web of Science Citations: 27

Abstract

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. (c) 2015 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 12/18780-0 - Geometry of control systems, dynamical and stochastics systems
• Grantee: Marco Antônio Teixeira
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 12/10231-7 - Regularization and minimal sets for non-smooth dynamical systems
• Grantee: Douglas Duarte Novaes
• Support Opportunities: Scholarships in Brazil - Doctorate