Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems

Pantelis A. Damianou, Charalampos A. Evripidou, Pavlos Kassotakis +1

Given a constant skew-symmetric matrix A, it is a difficult open problem whether the associated Lotka-Volterra system is integrable or not. We solve this problem in the special cas…