da Silva Fernandes, S. Notes on Hori method for non-canonical systems. (English) Zbl 1106.70304 Celest. Mech. Dyn. Astron. 87, No. 3, 307-315 (2003). The author discusses computational algorithms for integration of canonical and non-canonical systems. Early it was shown by G. Hori [Publ. Astron. Soc. Japan 23, 567–587 (1971)] (the author of the general perturbations method based on Lie series) that his method previously oriented to canonical systems only, is applicable to non-canonical systems as well. Later W. Sessin [Celestial Mech. 31, 109–113 (1983; Zbl 0563.70010)] has been generalized Hori algorithm. Here Sessin’s general algorithm is revised and simplified for nonlinear oscillation problems. Reviewer: Sergei Georgievich Zhuravlev (Moskva) Cited in 2 Documents MSC: 70-08 Computational methods for problems pertaining to mechanics of particles and systems 70F15 Celestial mechanics Keywords:nonlinear oscillation Citations:Zbl 1014.90100; Zbl 0674.90092; Zbl 0563.70010 PDFBibTeX XMLCite \textit{S. da Silva Fernandes}, Celest. Mech. Dyn. Astron. 87, No. 3, 307--315 (2003; Zbl 1106.70304) Full Text: DOI