Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants

Jaume Llibre; Regilene D.S. Oliveira

doi:https://doi.org/10.1142/S0219199714500187

Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants

Jaume Llibre, Regilene D.S. Oliveira

Department of Mathematics

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

10 Citations (Scopus)

Abstract

© 2015 World Scientific Publishing Company. In this paper, we present the global phase portraits in the Poincaré disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.

Original language	English
Article number	1450018
Journal	Communications in Contemporary Mathematics
Volume	17
Issue number	3
DOIs	https://doi.org/10.1142/S0219199714500187
Publication status	Published - 1 Jan 2015

Keywords

Darboux invariant
Quadratic vector fields
phase portraits

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https://doi.org/10.1142/S0219199714500187

https://ddd.uab.cat/record/145345

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title = "Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants",

abstract = "{\textcopyright} 2015 World Scientific Publishing Company. In this paper, we present the global phase portraits in the Poincar{\'e} disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.",

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AU - Oliveira, Regilene D.S.

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N2 - © 2015 World Scientific Publishing Company. In this paper, we present the global phase portraits in the Poincaré disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.

AB - © 2015 World Scientific Publishing Company. In this paper, we present the global phase portraits in the Poincaré disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.

KW - Darboux invariant

KW - Quadratic vector fields

KW - phase portraits

U2 - https://doi.org/10.1142/S0219199714500187

DO - https://doi.org/10.1142/S0219199714500187

M3 - Article

VL - 17

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

SN - 0219-1997

IS - 3

M1 - 1450018

ER -

Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants

Abstract

Keywords

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