Polynomial inverse integrating factors for quadratic differential systems

Bartomeu Coll; Antoni Ferragut; Jaume Llibre

doi:10.1016/j.na.2010.04.004

Polynomial inverse integrating factors for quadratic differential systems

Bartomeu Coll, Antoni Ferragut, Jaume Llibre

Department of Mathematics

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

10 Citations (Scopus)

Abstract

We characterize all the quadratic polynomial differential systems having a polynomial inverse integrating factor and provide explicit normal forms for such systems and for their associated first integrals. We also prove that these families of quadratic systems have no limit cycles. © 2010 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	881-914
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	73
Issue number	4
DOIs	https://doi.org/10.1016/j.na.2010.04.004
Publication status	Published - 15 Aug 2010

Keywords

Darboux theory of integrability
Polynomial inverse integrating factor
Quadratic differential systems

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title = "Polynomial inverse integrating factors for quadratic differential systems",

abstract = "We characterize all the quadratic polynomial differential systems having a polynomial inverse integrating factor and provide explicit normal forms for such systems and for their associated first integrals. We also prove that these families of quadratic systems have no limit cycles. {\textcopyright} 2010 Elsevier Ltd. All rights reserved.",

keywords = "Darboux theory of integrability, Polynomial inverse integrating factor, Quadratic differential systems",

author = "Bartomeu Coll and Antoni Ferragut and Jaume Llibre",

year = "2010",

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day = "15",

doi = "10.1016/j.na.2010.04.004",

language = "English",

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T1 - Polynomial inverse integrating factors for quadratic differential systems

AU - Coll, Bartomeu

AU - Ferragut, Antoni

AU - Llibre, Jaume

PY - 2010/8/15

Y1 - 2010/8/15

N2 - We characterize all the quadratic polynomial differential systems having a polynomial inverse integrating factor and provide explicit normal forms for such systems and for their associated first integrals. We also prove that these families of quadratic systems have no limit cycles. © 2010 Elsevier Ltd. All rights reserved.

AB - We characterize all the quadratic polynomial differential systems having a polynomial inverse integrating factor and provide explicit normal forms for such systems and for their associated first integrals. We also prove that these families of quadratic systems have no limit cycles. © 2010 Elsevier Ltd. All rights reserved.

KW - Darboux theory of integrability

KW - Polynomial inverse integrating factor

KW - Quadratic differential systems

U2 - 10.1016/j.na.2010.04.004

DO - 10.1016/j.na.2010.04.004

M3 - Article

VL - 73

SP - 881

EP - 914

IS - 4

ER -