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^*

^*Corresponding author for this work

Department of Mathematics

University of Lisbon (ULisboa)

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	895-904
Number of pages	10
Journal	Journal of differential equations
Volume	365
DOIs	https://doi.org/10.1016/j.jde.2023.05.024
Publication status	Published - 25 Aug 2023

Keywords

First integrals
Invariants
Involutions
Polynomial systems

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10.1016/j.jde.2023.05.024

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

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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",

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journal = "Journal of differential equations",

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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

Abstract

Keywords

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