8 citations · 15 across the 5 of their papers we have counts for
5 papers
A Quaternionic Structure as a Landmark for Symplectic Maps
Hugo Jiménez-Pérez
We use a quaternionic structure on the product of two symplectic manifolds for relating Liouvillian forms with linear symplectic maps obtained by the symplectic Cayley's transforma…
A time-parallel algorithm for almost integrable Hamiltonian systems
Hugo Jiménez-Pérez, Jacques Laskar
We introduce a time-parallel algorithm for solving numerically almost integrable Hamiltonian systems in action-angle coordinates. This algorithm is a refinement of that introduced…
On Alfred Gray's Elliptical Catenoid
Hugo Jiménez-Pérez, Santiago López de Medrano
We give a parameterization of Alfred Gray's Elliptical Catenoid and Elliptical Hellicoid using Jacobi's elliptic functions. This parameterization avoids some problems present in th…
Symplectic Regularization of Binary Collisions in the Circular N+2 Sitnikov Problem
H. Jiménez-Pérez, E. Lacomba
We present a brief overview of the regularizing transformations of the Kepler problem and we relate the Euler transformation with the symplectic structure of the phase space of the…
Energy levels of periodic solutions of the circular 2+2 Sitnikov problem
H. Jiménez-Pérez, E. Lacomba
We study a 2+2 body problem introduced in a previous paper as the circular double Sitnikov problem. Since the secondary bodies are moving on the same perpendicular line where evolv…