Liouvillian first integrals for the planar Lotka-Volterra system

Laurent Cairó; Hector Giacomini; Jaume Llibre

doi:10.1007/BF02872763

Liouvillian first integrals for the planar Lotka-Volterra system

Laurent Cairó, Hector Giacomini, Jaume Llibre

Departament de Matemàtiques

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Resum

We complete the classication of all Lotka-Volterra systems ẋ = x(ax+by+c), ẏ = y(Ax+By+C), having a Liouvillian first integral. In our classification we take into account the first integrals coming from the existence of exponential factors. © 2003 Springer-Verlag.

Idioma original	Anglès
Pàgines (de-a)	389-418
Revista	Rendiconti del Circolo Matematico di Palermo
Volum	52
DOIs	https://doi.org/10.1007/BF02872763
Estat de la publicació	Publicada - 1 d’oct. 2003

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10.1007/BF02872763

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title = "Liouvillian first integrals for the planar Lotka-Volterra system",

abstract = "We complete the classication of all Lotka-Volterra systems ẋ = x(ax+by+c), ẏ = y(Ax+By+C), having a Liouvillian first integral. In our classification we take into account the first integrals coming from the existence of exponential factors. {\textcopyright} 2003 Springer-Verlag.",

author = "Laurent Cair{\'o} and Hector Giacomini and Jaume Llibre",

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doi = "10.1007/BF02872763",

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T1 - Liouvillian first integrals for the planar Lotka-Volterra system

AU - Cairó, Laurent

AU - Giacomini, Hector

AU - Llibre, Jaume

PY - 2003/10/1

Y1 - 2003/10/1

N2 - We complete the classication of all Lotka-Volterra systems ẋ = x(ax+by+c), ẏ = y(Ax+By+C), having a Liouvillian first integral. In our classification we take into account the first integrals coming from the existence of exponential factors. © 2003 Springer-Verlag.

AB - We complete the classication of all Lotka-Volterra systems ẋ = x(ax+by+c), ẏ = y(Ax+By+C), having a Liouvillian first integral. In our classification we take into account the first integrals coming from the existence of exponential factors. © 2003 Springer-Verlag.

U2 - 10.1007/BF02872763

DO - 10.1007/BF02872763

M3 - Article

SN - 0009-725X

VL - 52

SP - 389

EP - 418

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

ER -

Liouvillian first integrals for the planar Lotka-Volterra system

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