Abstract
Using tools of computer algebra we derive the conditions for the cubic Lotka–Volterra system ẋ = x(2 − a20x2 − a11xy − a02y2), ẏ = y(−3+b20x2 + b11xy + b02y2) to be linearizable and to admit a first integral of the form Φ(x, y) =x3y2 + ··· in a neighborhood of the origin, in which case the origin is called a 2: −3 resonant center.
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Giné, J., Christopher, C., Prešern, M., Romanovski, V. G., & Shcheglova, N. L. (2012). The resonant center problem for a 2:-3 resonant cubic lotka–volterra system. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7442 LNCS, pp. 129–142). Springer Verlag. https://doi.org/10.1007/978-3-642-32973-9_11
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