43 citations · 331 across the 19 of their papers we have counts for
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math.DS2015★ 3 cited
The continuous transition of Hamiltonian vector fields through manifolds of constant curvature
Florin Diacu, Slim Ibrahim, Jedrzej Sniatycki
We ask whether Hamiltonian vector fields defined on spaces of constant Gaussian curvature (spheres, for , and hyperbolic spheres, for ), pass continuously through the…
math.DS2015★ 10 cited
Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem
Florin Diacu
We consider the 3-body problem of celestial mechanics in Euclidean, elliptic, and hyperbolic spaces, and study how the Lagrangian (equilateral) relative equilibria bifurcate when t…