RT Journal Article
T1 The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line
A1 Esteban, Marina
A1 Llibre, Jaume
A1 Valls, Claudia
K1 Discontinuous piecewise linear system
K1 Linear Center
K1 Nonregular Line
AB The study of the piecewise linear differential systems goes back to Andronov, Vitt and Khaikin in 1920’s, and nowadays such systems still continue to receive the attention of many researchers mainly due to their applications. We study the discontinuous piecewise differential systems formed by two linear centers separated by a nonregular straight line. We provide upper bounds for the maximum number of limit cycles that these discontinuous piecewise differential systems can exhibit and we show that these upper bounds are reached. Hence, we solve the extended 16th Hilbert problem for this class of piecewise differential systems.
PB World Scientific Publishing Company
YR 2021
FD 2021-12-15
LK https://hdl.handle.net/10433/22271
UL https://hdl.handle.net/10433/22271
LA en
NO International Journal of Bifurcation and Chaos. Vol. 31, No. 15, 2150225 (2021)
NO Departamento de Economía, Métodos Cuantitativos e Historia Económica. Universidad Pablo de Olavide.
DS RIO
RD Jun 13, 2026