## Symbolic computation of second-order normal forms for Hamiltonian systems relative to periodic ows    [PDF]

M. Avendaño-Camacho, J. A. Vallejo, Yu. Vorobjev
A Maxima package called pdynamics is described. It is aimed to study Poisson (and symplectic) systems and, particularly, the determination of the second-order normal form for perturbed Hamiltonians $H_{\epsilon} = H_{0}+\epsilon H_{1}+\frac{\epsilon^2}{2} H_{2}$, relative to the periodic flow of the unperturbed Hamiltonian $H_{0}$. The formalism presented here is global, it does not require recursive computations and allows an efficient symbolic implementation.
View original: http://arxiv.org/abs/1301.3244