@article{b902d82652384c839b2acaaca36d88c6,
title = "Limit cycles of discontinuous piecewise differential systems formed by linear centers in R2 and separated by two circles",
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.",
keywords = "Continuous piecewise linear differential systems, Discontinuous piecewise differential systems, First integrals, Limit cycles, Linear centers",
author = "Anacleto, \{Maria Elisa\} and Jaume Llibre and Claudia Valls and Claudio Vidal",
note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd",
year = "2021",
month = aug,
doi = "10.1016/j.nonrwa.2020.103281",
language = "English",
volume = "60",
journal = "Nonlinear Analysis: Real World Applications",
issn = "1468-1218",
publisher = "Elsevier BV",
}