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math.DS2015★ 2 cited
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…
math.DS2015★ 1 cited
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…