43 citations · 331 across the 19 of their papers we have counts for
24 papers
Relative Equilibria in curved restricted 4-body problems
Florin Diacu, Sawsan Alhowaity
We consider the curved 4-body problems on spheres and hyperbolic spheres. After obtaining a criterion for the existence of quadrilateral configu- rations on the equator of the sphe…
The -Body Problem in Spaces with Uniformly Varying Curvature
Eric Boulter, Florin Diacu, Shuqiang Zhu
We generalize the curved -body problem to spheres and hyperbolic spheres whose curvature varies in time. Unlike in the particular case when the curvature is constant, the eq…
Stability of fixed points and associated relative equilibria of the -body problem on and
Florin Diacu, Juan Manuel Sánchez-Cerritos, Shuqiang Zhu
We prove that the fixed points of the curved 3-body problem and their associated relative equilibria are Lyapunov stable if the solutions are restricted to , but unsta…
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…
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…
The Vlasov-Poisson System for Stellar Dynamics in Spaces of Constant Curvature
Florin Diacu, Slim Ibrahim, Crystal Lind +1
We obtain a natural extension of the Vlasov-Poisson system for stellar dynamics to spaces of constant Gaussian curvature : the unit sphere , for , and the…