TY - JOUR
T1 - Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones
AU - de Carvalho Braga, Denis
AU - Llibre, Jaume
AU - Fernando Mello, Luis
N1 - Publisher Copyright:
© 2022 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2022
Y1 - 2022
N2 - We present a general mechanism of generation of limit cycles in planar piecewise polynomial differential systems with two zones by means of a transcritical bifurcation at infinity and from a global centre. This study justifies the existence of limit cycles that arise through the intersection of the separation boundary with the one that characterizes the global centre.
AB - We present a general mechanism of generation of limit cycles in planar piecewise polynomial differential systems with two zones by means of a transcritical bifurcation at infinity and from a global centre. This study justifies the existence of limit cycles that arise through the intersection of the separation boundary with the one that characterizes the global centre.
KW - Limit cycle
KW - piecewise differential system
KW - Poincaré compactification
KW - transcritical bifurcation
UR - https://www.scopus.com/pages/publications/85136001109
U2 - 10.1080/14689367.2022.2092454
DO - 10.1080/14689367.2022.2092454
M3 - Article
AN - SCOPUS:85136001109
SN - 1468-9367
VL - 37
SP - 578
EP - 602
JO - Dynamical Systems
JF - Dynamical Systems
IS - 4
ER -