73 citations · 459 across the 19 of their papers we have counts for
4 papers · 1 filter
Superintegrability on N-dimensional curved spaces: Central potentials, centrifugal terms and monopoles
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
The N-dimensional Hamiltonian H formed by a curved kinetic term (depending on a function f), a central potential (depending on a function U), a Dirac monopole term, and N centrifug…
Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand's theorem to curved manifolds
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
Bertrand's theorem asserts that any spherically symmetric natural Hamiltonian system in Euclidean 3-space which possesses stable circular orbits and whose bounded trajectories are…
The Degasperis-Procesi equation with self-consistent sources
Yehui Huang, Yunbo Zeng, Orlando Ragnisco
The Degasperis-Procesi equation with self-consistent sources(DPESCS) is derived. The Lax representation and the conservation laws for DPESCS are constructed. The peakon solution of…
Bertrand spacetimes as Kepler/oscillator potentials
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
Perlick's classification of (3+1)-dimensional spherically symmetric and static spacetimes (\cal M,η=-1/V dt^2+g) for which the classical Bertrand theorem holds [Perlick V Class. Qu…