A note about certain arbitrariness in the solution of the homological equation in Deprit's method

  1. San-Juan, J.F. 1
  2. López, R. 2
  3. Pérez, I. 1
  4. San-Martín, M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Centro de Investigación Biomédica de La Rioja
    info

    Centro de Investigación Biomédica de La Rioja

    Logroño, España

    ROR https://ror.org/03vfjzd38

Revue:
Mathematical Problems in Engineering

ISSN: 1024-123X

Année de publication: 2015

Volumen: 2015

Pages: 1-11

Type: Article

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DOI: 10.1155/2015/982857 SCOPUS: 2-s2.0-84925326272 WoS: WOS:000352067400001 GOOGLE SCHOLAR

D'autres publications dans: Mathematical Problems in Engineering

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Résumé

Deprit's method has been revisited in order to take advantage of certain arbitrariness arising when the inverse of the Lie operator is applied to obtain the generating function of the Lie transform. This arbitrariness is intrinsic to all perturbation techniques and can be used to demonstrate the equivalence among different perturbation methods, to remove terms from the generating function of the Lie transform, or to eliminate several angles simultaneously in the case of having a degenerate Hamiltonian. © 2015 Juan Félix San-Juan et al.