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…