Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors

Laurent Cairó; Jaume Llibre

doi:https://doi.org/10.1088/0305-4470/33/12/308

Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors

Laurent Cairó, Jaume Llibre

Department of Mathematics

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

17 Citations (Scopus)

Abstract

We present new first integrals of the two-dimensional Lotka-Volterra systems which have a polynomial inverse integrating factor. Moreover, we characterize all the polynomial first integrals of the two-dimensional Lotka-Volterra systems.

Original language	English
Pages (from-to)	2407-2417
Journal	Journal of Physics A: Mathematical and General
Volume	33
DOIs	https://doi.org/10.1088/0305-4470/33/12/308
Publication status	Published - 31 Mar 2000

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title = "Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors",

abstract = "We present new first integrals of the two-dimensional Lotka-Volterra systems which have a polynomial inverse integrating factor. Moreover, we characterize all the polynomial first integrals of the two-dimensional Lotka-Volterra systems.",

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

year = "2000",

month = mar,

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doi = "https://doi.org/10.1088/0305-4470/33/12/308",

language = "English",

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AU - Cairó, Laurent

AU - Llibre, Jaume

PY - 2000/3/31

Y1 - 2000/3/31

N2 - We present new first integrals of the two-dimensional Lotka-Volterra systems which have a polynomial inverse integrating factor. Moreover, we characterize all the polynomial first integrals of the two-dimensional Lotka-Volterra systems.

AB - We present new first integrals of the two-dimensional Lotka-Volterra systems which have a polynomial inverse integrating factor. Moreover, we characterize all the polynomial first integrals of the two-dimensional Lotka-Volterra systems.

U2 - https://doi.org/10.1088/0305-4470/33/12/308

DO - https://doi.org/10.1088/0305-4470/33/12/308

M3 - Article

VL - 33

SP - 2407

EP - 2417

ER -

Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors

Abstract

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