86 citations · 1k across the 58 of their papers we have counts for
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math.DS2004★ 28 cited
Darboux Polynomials and First Integrals of Natural Polynomial Hamiltonian Systems
Andrzej J. Maciejewski, Maria Przybylska
We show that for a natural polynomial Hamiltonian system the existence of a single Darboux polynomial (a partial polynomial first integral) is equivalent to the existence of an add…
math.DS2004
Differential Galois Approach to the Non-integrability of the Heavy Top Problem
Andrzej J. Maciejewski, Maria Przybylska
We study integrability of the Euler-Poisson equations describing the motion of a rigid body with one fixed point in a constant gravity field. Using the Morales-Ramis theory and too…