Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems

Isaac A. García; Jaume Llibre

doi:https://doi.org/10.1142/S0218127417501413

Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems

Isaac A. García, Jaume Llibre

Department of Mathematics

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

2 Citations (Scopus)

Abstract

© 2017 World Scientific Publishing Company. In this paper, we show planar quadratic polynomial differential systems exhibiting as solutions some famous planar invariant algebraic curves. Also we place particular attention to the Darboux integrability of these differential systems.

Original language	English
Article number	1750141
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	27
Issue number	9
DOIs	https://doi.org/10.1142/S0218127417501413
Publication status	Published - 1 Aug 2017

Keywords

Darboux integrability
Quadratic differential system
invariant algebraic curve

Access to Document

https://doi.org/10.1142/S0218127417501413

https://ddd.uab.cat/record/182525

Cite this

@article{e4f09ab3a1944d26be5e467ee54f433d,

title = "Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems",

abstract = "{\textcopyright} 2017 World Scientific Publishing Company. In this paper, we show planar quadratic polynomial differential systems exhibiting as solutions some famous planar invariant algebraic curves. Also we place particular attention to the Darboux integrability of these differential systems.",

keywords = "Darboux integrability, Quadratic differential system, invariant algebraic curve",

author = "Garc{\'i}a, {Isaac A.} and Jaume Llibre",

year = "2017",

month = aug,

day = "1",

doi = "https://doi.org/10.1142/S0218127417501413",

language = "English",

volume = "27",

number = "9",

}

TY - JOUR

T1 - Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems

AU - García, Isaac A.

AU - Llibre, Jaume

PY - 2017/8/1

Y1 - 2017/8/1

N2 - © 2017 World Scientific Publishing Company. In this paper, we show planar quadratic polynomial differential systems exhibiting as solutions some famous planar invariant algebraic curves. Also we place particular attention to the Darboux integrability of these differential systems.

AB - © 2017 World Scientific Publishing Company. In this paper, we show planar quadratic polynomial differential systems exhibiting as solutions some famous planar invariant algebraic curves. Also we place particular attention to the Darboux integrability of these differential systems.

KW - Darboux integrability

KW - Quadratic differential system

KW - invariant algebraic curve

U2 - https://doi.org/10.1142/S0218127417501413

DO - https://doi.org/10.1142/S0218127417501413

M3 - Article

VL - 27

IS - 9

M1 - 1750141

ER -

Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems

Abstract

Keywords

Access to Document

Fingerprint

Cite this