Invariants of polynomial vector fields

Jaume Llibre; Claudia Valls

doi:10.1016/j.jde.2023.05.024

Invariants of polynomial vector fields

Jaume Llibre, Claudia Valls^*

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

University of Lisbon (ULisboa)

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

3 Cites (Scopus)

Resum

We characterize the existence of first integrals and invariants (first integrals depending on the time) for the polynomial vector fields which are invariant under an involution.

Idioma original	Anglès
Pàgines (de-a)	895-904
Nombre de pàgines	10
Revista	Journal of differential equations
Volum	365
DOIs	https://doi.org/10.1016/j.jde.2023.05.024
Estat de la publicació	Publicada - 25 d’ag. 2023

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10.1016/j.jde.2023.05.024

https://ddd.uab.cat/record/281985

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@article{6d63312bd4ca4172ba6b10c27dec3012,

title = "Invariants of polynomial vector fields",

abstract = "We characterize the existence of first integrals and invariants (first integrals depending on the time) for the polynomial vector fields which are invariant under an involution.",

keywords = "First integrals, Invariants, Involutions, Polynomial systems",

author = "Jaume Llibre and Claudia Valls",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2023",

month = aug,

day = "25",

doi = "10.1016/j.jde.2023.05.024",

language = "English",

volume = "365",

pages = "895--904",

journal = "Journal of differential equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Invariants of polynomial vector fields

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2023/8/25

Y1 - 2023/8/25

N2 - We characterize the existence of first integrals and invariants (first integrals depending on the time) for the polynomial vector fields which are invariant under an involution.

AB - We characterize the existence of first integrals and invariants (first integrals depending on the time) for the polynomial vector fields which are invariant under an involution.

KW - First integrals

KW - Invariants

KW - Involutions

KW - Polynomial systems

UR - https://www.scopus.com/pages/publications/85160274070

UR - https://www.mendeley.com/catalogue/8cab6bea-bc78-37d4-be76-38fd27c7a223/

U2 - 10.1016/j.jde.2023.05.024

DO - 10.1016/j.jde.2023.05.024

M3 - Article

AN - SCOPUS:85160274070

SN - 0022-0396

VL - 365

SP - 895

EP - 904

JO - Journal of differential equations

JF - Journal of differential equations

ER -

Invariants of polynomial vector fields

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