Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones

Denis de Carvalho Braga; Jaume Llibre; Luis Fernando Mello

doi:10.1080/14689367.2022.2092454

Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones

Denis de Carvalho Braga^*, Jaume Llibre, Luis Fernando Mello

^*Autor correspondiente de este trabajo

Departamento de Matemáticas

Universidade Federal de Itajubá (UNIFEI)

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	578-602
Número de páginas	25
Publicación	Dynamical Systems
Volumen	37
N.º	4
DOI	https://doi.org/10.1080/14689367.2022.2092454
Estado	Publicada - 2022

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10.1080/14689367.2022.2092454

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title = "Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones",

abstract = "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.",

keywords = "Limit cycle, piecewise differential system, Poincar{\'e} compactification, transcritical bifurcation",

author = "\{de Carvalho Braga\}, Denis and Jaume Llibre and \{Fernando Mello\}, Luis",

note = "Publisher Copyright: {\textcopyright} 2022 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2022",

doi = "10.1080/14689367.2022.2092454",

language = "English",

volume = "37",

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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

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 -

Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones

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