86 citations · 631 across the 43 of their papers we have counts for
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Integrability of natural Hamiltonian systems with homogeneous potentials of degree zero
Guy Casale, Guillaume Duval, Andrzej J. Maciejewski +1
We derive necessary conditions for integrability in the Liouville sense of natural Hamiltonian systems with homogeneous potential of degree zero. We derive these conditions through…
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…
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…