4 citations · 7 across the 5 of their papers we have counts for
5 papers
Melnikov Method for Perturbed Completely Integrable Systems
F. Crespo, M. Uribe, E. Martínez
We consider a completely integrable system of differential equations in arbitrary dimensions whose phase space contains an open set foliated by periodic orbits. This research analy…
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…