TY - JOUR
T1 - A simple global representation for second-order normal forms of Hamiltonian systems relative to periodic flows
AU - Avendaño-Camacho, M.
AU - Vallejo, J. A.
AU - Vorobjev, Yu
PY - 2013/10/4
Y1 - 2013/10/4
N2 - We study the determination of the second-order normal form for perturbed Hamiltonians H∈ = H0 + ∈H1 + ∈2/ 2 H2, relative to the periodic flow of the unperturbed Hamiltonian H0. 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 HenonHeiles and the elastic pendulum Hamiltonians.
AB - We study the determination of the second-order normal form for perturbed Hamiltonians H∈ = H0 + ∈H1 + ∈2/ 2 H2, relative to the periodic flow of the unperturbed Hamiltonian H0. 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 HenonHeiles and the elastic pendulum Hamiltonians.
UR - http://www.scopus.com/inward/record.url?scp=84884223660&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/46/39/395201
DO - 10.1088/1751-8113/46/39/395201
M3 - Artículo
SN - 1751-8113
VL - 46
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 39
M1 - 395201
ER -