Phase portraits of quadratic Lotka-Volterra systems with a Darboux invariant in the Poincaré disc

Yudy Bolaños; Jaume Llibre; Claudia Valls

doi:https://doi.org/10.1142/S0219199713500417

Phase portraits of quadratic Lotka-Volterra systems with a Darboux invariant in the Poincaré disc

Yudy Bolaños, Jaume Llibre, Claudia Valls

Department of Mathematics

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

3 Citations (Scopus)

Abstract

© 2014 World Scientific Publishing Company. We characterize the global phase portraits in the Poincaré disc of all the planar Lotka-Volterra quadratic polynomial differential systems having a Darboux invariant.

Original language	English
Article number	1450032
Journal	Communications in Contemporary Mathematics
Volume	16
Issue number	6
DOIs	https://doi.org/10.1142/S0219199713500417
Publication status	Published - 1 Jan 2014

Keywords

Darboux invariant
Phase portrait
Poincaré compactification
Poincaré disc
quadratic Lotka-Volterra systems

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https://doi.org/10.1142/S0219199713500417

https://ddd.uab.cat/record/150726

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title = "Phase portraits of quadratic Lotka-Volterra systems with a Darboux invariant in the Poincar{\'e} disc",

abstract = "{\textcopyright} 2014 World Scientific Publishing Company. We characterize the global phase portraits in the Poincar{\'e} disc of all the planar Lotka-Volterra quadratic polynomial differential systems having a Darboux invariant.",

keywords = "Darboux invariant, Phase portrait, Poincar{\'e} compactification, Poincar{\'e} disc, quadratic Lotka-Volterra systems",

author = "Yudy Bola{\~n}os and Jaume Llibre and Claudia Valls",

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AU - Bolaños, Yudy

AU - Llibre, Jaume

AU - Valls, Claudia

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Y1 - 2014/1/1

N2 - © 2014 World Scientific Publishing Company. We characterize the global phase portraits in the Poincaré disc of all the planar Lotka-Volterra quadratic polynomial differential systems having a Darboux invariant.

AB - © 2014 World Scientific Publishing Company. We characterize the global phase portraits in the Poincaré disc of all the planar Lotka-Volterra quadratic polynomial differential systems having a Darboux invariant.

KW - Darboux invariant

KW - Phase portrait

KW - Poincaré compactification

KW - Poincaré disc

KW - quadratic Lotka-Volterra systems

U2 - https://doi.org/10.1142/S0219199713500417

DO - https://doi.org/10.1142/S0219199713500417

M3 - Article

VL - 16

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

SN - 0219-1997

IS - 6

M1 - 1450032

ER -

Phase portraits of quadratic Lotka-Volterra systems with a Darboux invariant in the Poincaré disc

Abstract

Keywords

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