Global analytic first integrals for the real planar Lotka-Volterra system

Jaume Llibre; Clàudia Valls

doi:https://doi.org/10.1063/1.2713076

Global analytic first integrals for the real planar Lotka-Volterra system

Jaume Llibre, Clàudia Valls

Department of Mathematics

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

21 Citations (Scopus)

Abstract

Original language	English
Article number	033507
Journal	Journal of Mathematical Physics
Volume	48
DOIs	https://doi.org/10.1063/1.2713076
Publication status	Published - 10 Apr 2007

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@article{f0425cd6336f4623907f02bb5622a5ae,

title = "Global analytic first integrals for the real planar Lotka-Volterra system",

abstract = "We provide the complete classification of all Lotka-Volterra systems of the form ẋ=x(ax+by+c) and ẏ=y(Ax+By+C) in ℝ2 having a global analytic first integral. {\textcopyright} 2007 American Institute of Physics.",

author = "Jaume Llibre and Cl{\`a}udia Valls",

year = "2007",

month = apr,

day = "10",

doi = "https://doi.org/10.1063/1.2713076",

language = "English",

volume = "48",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

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TY - JOUR

T1 - Global analytic first integrals for the real planar Lotka-Volterra system

AU - Llibre, Jaume

AU - Valls, Clàudia

PY - 2007/4/10

Y1 - 2007/4/10

U2 - https://doi.org/10.1063/1.2713076

DO - https://doi.org/10.1063/1.2713076

M3 - Article

VL - 48

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

M1 - 033507

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