4 citations · 7 across the 4 of their papers we have counts for
4 papers
Addition theorems for Ck real functions and applications in ordinary differential equations
Francisco Crespo, Salomón Rebollo-perdomo, Jorge L. Zapata
This work establishes the existence of addition theorems and double-angle formulas for Ck real scalar functions. Moreover, we determine necessary and sufficient conditions for a bi…
Alternative Angle-Based Approach to the KS-Map. An Interpretation Through Symmetry and Reduction
Sebastian Ferrer, Francisco Crespo
The map is revisited in terms of an -action in with the bilinear function as the associated momentum map. Indeed, the transform…
On the N-Extended Euler System I. Generalized Jacobi Elliptic Functions
Sebastián Ferrer, Francisco Crespo, Francisco Javier Molero
We study the integrable system of first order differential equations , as an initial value problem, with real coefficie…
Poisson and symplectic reductions of 4-DOF isotropic oscillators. The van der Waals system as benchmark
Francisco Crespo, Gema María Díaz-Toca, Sebastián Ferrer +1
This paper is devoted to studying Hamiltonian oscillators in 1:1:1:1 resonance with symmetries, which include several models of perturbed Keplerian systems. Normal forms are comput…