Hypergraphs and Lotka-Volterra Systems with Linear Darboux Polynomials
Journal of Dynamics and Differential EquationsAbstract We associate parametric classes of n-component Lotka-Volterra systems which admit k additional linear Darboux polynomials, with admissible loopless hypergraphs of order n and size k. We study the equivalence relation on admissible hypergraphs induced by linear transformations of the associated LV-systems, for
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