LIE TRANSFORMS FOR ORDINARY DIFFERENTIAL EQUATIONS: TAKING ADVANTAGE OF THE HAMILTONIAN FORM OF TERMS OF THE PERTURBATION

✍ Scribed by ROBERTO BARRIO; JESÚS PALACIÁN

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 191 KB
• Volume: 40
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19970630)40:12<2289::aid-nme165>3.0.co;2-j

✦ Synopsis

In the context of Lie transforms theory applied to ordinary di erential systems, we deal with the case for which part of the perturbing equation admits a Hamiltonian formulation. This fact allows to perform a Lie transform combining a treatment of vector type with another of Hamiltonian character. We show that this produces a reduction in the number of operations involved in the algorithms. We illustrate the algorithms with an example. ?