On the mechanisms for producing linear type centers in polynomial differential systems

Jaume Giné; Jaume Llibre

On the mechanisms for producing linear type centers in polynomial differential systems

Jaume Giné, Jaume Llibre

Department of Mathematics

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

6 Citations (Scopus)

Abstract

© 2018 Independent University of Moscow. In this paper we study the mechanisms that provide linear type centers in the polynomial differential systems. These mechanisms are the algebraic reducibility and the Liouvillian integrability. We state a conjecture and some open questions. These mechanisms also explain all the known nilpotent and degenerate centers.

Original language	English
Pages (from-to)	409-420
Journal	Moscow Mathematical Journal
Volume	18
Issue number	3
Publication status	Published - 1 Jul 2018

Keywords

Algebraic reducibility
Center problem
Louville integrability
Polynomial differential systems

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title = "On the mechanisms for producing linear type centers in polynomial differential systems",

abstract = "{\textcopyright} 2018 Independent University of Moscow. In this paper we study the mechanisms that provide linear type centers in the polynomial differential systems. These mechanisms are the algebraic reducibility and the Liouvillian integrability. We state a conjecture and some open questions. These mechanisms also explain all the known nilpotent and degenerate centers.",

keywords = "Algebraic reducibility, Center problem, Louville integrability, Polynomial differential systems",

author = "Jaume Gin{\'e} and Jaume Llibre",

year = "2018",

month = jul,

day = "1",

language = "English",

volume = "18",

pages = "409--420",

journal = "Moscow Mathematical Journal",

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publisher = "Independent University of Moscow",

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TY - JOUR

T1 - On the mechanisms for producing linear type centers in polynomial differential systems

AU - Giné, Jaume

AU - Llibre, Jaume

PY - 2018/7/1

Y1 - 2018/7/1

N2 - © 2018 Independent University of Moscow. In this paper we study the mechanisms that provide linear type centers in the polynomial differential systems. These mechanisms are the algebraic reducibility and the Liouvillian integrability. We state a conjecture and some open questions. These mechanisms also explain all the known nilpotent and degenerate centers.

AB - © 2018 Independent University of Moscow. In this paper we study the mechanisms that provide linear type centers in the polynomial differential systems. These mechanisms are the algebraic reducibility and the Liouvillian integrability. We state a conjecture and some open questions. These mechanisms also explain all the known nilpotent and degenerate centers.

KW - Algebraic reducibility

KW - Center problem

KW - Louville integrability

KW - Polynomial differential systems

M3 - Article

VL - 18

SP - 409

EP - 420

JO - Moscow Mathematical Journal

JF - Moscow Mathematical Journal

SN - 1609-3321

IS - 3

ER -