Geodesic
Algebraic features of some generalizations of the Lotka–Volterra system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 10, pp. 1741-1757 
Yu. V. Bibik; D. A. Sarancha. Algebraic features of some generalizations of the Lotka–Volterra system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 10, pp. 1741-1757. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_10_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For generalizations of the Lotka–Volterra system, an integration method is proposed based on the nontrivial algebraic structure of these generalizations. The method makes use of an auxiliary first-order differential equation derived from the phase curve equation with the help of this algebraic structure. Based on this equation, a Hamiltonian approach can be developed and canonical variables (moreover, action-angle variables) can be constructed.

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