2013/01/31 by Misael Avendaño-Camacho, M. Avendaño-Camacho, José A. Vallejo +3
Mathematics · Physics and Astronomy · #Classical mechanics #Formalism (music) #Hamiltonian (control theory) #Hamiltonian system #Mathematical analysis #Mathematical optimization #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Numerical methods for differential equations #Physics #Quantum chaos and dynamical systems #math-ph #math.DG #math.DS #math.MP #msc:53-04 #msc:53D17 #msc:70F15 #nlin.SI
paper · pdf · doi:10.1088/1751-8113/46/39/395201
published as M Avendaño-Camacho et al 2013 J. Phys. A: Math. Theor. 46 395201 · Third version. A more detailed mathematical treatment, the computational part has been relegated to the documentation of the package, which can be downloaded from http://galia.fc.uaslp.mx/~jvallejo/pdynamics.zip
arxiv created 2013/04/20 · openalex publication_date 2013/09/09 · arxiv updated 2014/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study the determination of the second-order normal form for perturbed Hamiltonians , relative to the periodic flow of the unperturbed Hamiltonian H 0 . The formalism presented here is global, and can be easily implemented in any computer algebra system. We illustrate it by means of two examples: the Hénon–Heiles and the elastic pendulum Hamiltonians.