93 citations · 2.1k across the 117 of their papers we have counts for
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math-ph2010★ 13 cited
Integrable Henon-Heiles Hamiltonians: a Poisson algebra approach
Angel Ballesteros, Alfonso Blasco
The three integrable two-dimensional Henon-Heiles systems and their integrable perturbations are revisited. A family of new integrable perturbations is found, and N-dimensional com…
math-ph2010★ 5 cited
New superintegrable models with position-dependent mass from Bertrand's Theorem on curved spaces
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
A generalized version of Bertrand's theorem on spherically symmetric curved spaces is presented. This result is based on the classification of (3+1)-dimensional (Lorentzian) Bertra…
math-ph2010★ 14 cited
On two superintegrable nonlinear oscillators in N dimensions
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
We consider the classical superintegrable Hamiltonian system given by , where U is known to be the "intrinsic" oscillator potential o…