Reduction of polynomial Hamiltonians by the construction of formal integrals
Jesús Palacián; Patricia Yanguas; Jesús Palacián; Departamento de Matemática e Informática, Universidad Pública de Navarra, 31006 Pamplona, Spain; Patricia Yanguas; Departamento de Matemática e Informática, Universidad Pública de Navarra, 31006 Pamplona, Spain
Журнал:
Nonlinearity
Дата:
2000-07-01
Аннотация:
We present a technique based on Lie transformations, which allows us to reduce the number of degrees of freedom of a Hamiltonian system of polynomial type, by extending an integral of the quadratic part to the transformed system, up to a certain order of approximation. The procedure is illustrated for four cases in two and three degrees of freedom.
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