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math.DS2020★ 3 cited
Global existence and singularity of the Hill's type lunar problem with strong potential
Yanxia Deng, Slim Ibrahim
We characterize the fate of the solutions of Hill's type lunar problem using the ideas of ground states from PDE. In particular, the relative equilibrium will be defined as the gro…
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…