42 citations · 206 across the 23 of their papers we have counts for
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math-ph2008★ 19 cited
Darboux polynomials for Lotka-Volterra systems in three dimensions
Yiannis T. Christodoulides, Pantelis A. Damianou
We consider Lotka-Volterra systems in three dimensions depending on three real parameters. By using elementary algebraic methods we classify the Darboux polynomials (also known as…
math-ph2008★ 3 cited
A symplectic realization of the Volterra lattice
M. A. Agrotis, P. A. Damianou, G. Marmo
We examine the multiple Hamiltonian structure and construct a symplectic realization of the Volterra model. We rediscover the hierarchy of invariants, Poisson brackets and master s…