Liouvillian first integrals for the planar Lotka-Volterra system

Laurent Cairó; Hector Giacomini; Jaume Llibre

doi:https://doi.org/10.1007/BF02872763

Liouvillian first integrals for the planar Lotka-Volterra system

Laurent Cairó, Hector Giacomini, Jaume Llibre

Department of Mathematics

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

37 Citations (Scopus)

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. © 2003 Springer-Verlag.

Original language	English
Pages (from-to)	389-418
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	52
DOIs	https://doi.org/10.1007/BF02872763
Publication status	Published - 1 Oct 2003

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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.",

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AU - Giacomini, Hector

AU - Llibre, Jaume

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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.

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DO - https://doi.org/10.1007/BF02872763

M3 - Article

VL - 52

SP - 389

EP - 418

ER -

Liouvillian first integrals for the planar Lotka-Volterra system

Abstract

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