Limit cycles of discontinuous piecewise differential systems formed by linear centers in R2 and separated by two circles. (August 2021)

• Record Type: Journal Article
• Authors: Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio
• Is Part Of: Nonlinear analysis. Volume 60(2021)
• Publication Date: 2021-08
• Subjects: Limit cycles -- Linear centers -- Continuous piecewise linear differential systems -- Discontinuous piecewise differential systems -- First integrals; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2020.103281
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We show that discontinuous planar piecewise differential systems formed by linear centers and separated by two concentric circles can have at most three limit cycles. Usually is a difficult problem to provide the exact upper bound that a class of differential systems can exhibit. Here we also provide examples of such systems with zero, one, two, or three limit cycles.