Chanda, SumantoGhose-Choudhury, AnindyaGuha, Partha2022-02-112022-02-112018-06-15Chanda, S., Ghose-Choudhury, A., & Guha, P. (2018). Jacobi-Maupertuis metric of Lienard type equations and Jacobi last multiplier. <i>Electronic Journal of Differential Equations, 2018</i>(120), pp. 1-9.1072-6691https://hdl.handle.net/10877/15313We present a construction of the Jacobi-Maupertuis (JM) principle for an equation of the Liénard type, ẍ + ƒ(x)ẋ2 + g(x) = 0, using Jacobi's last multiplier. The JM metric allows us to reformulate the Newtonian equation of motion for a variable mass as a geodesic equation for a Riemannian metric. We illustrate the procedure with examples of Painlevé-Gambier XXI, the Jacobi equation and the Henon-Heiles system.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalJacobi-Maupertuis metricPosition-dependent massJacobi's last multiplierArticle