Integrability of Lotka-Volterra planar complex cubic systems
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2016Suggested citation
Dukaric, Masa;
Giné, Jaume;
.
(2016)
.
Integrability of Lotka-Volterra planar complex cubic systems.
International Journal of Bifurcation and Chaos, 2016, vol. 26, núm. 1, p. 1650002 (1-16).
https://doi.org/10.1142/S0218127416500024.
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Abstract
In this paper we study the Lotka-Volterra complex cubic systems. We obtain necessary conditions of integrability for these systems with some restriction on the parameters. The sufficiency is proved for all conditions, except one which remains open, using different methods.