Jacobi-Maupertuis metric of Lienard type equations and Jacobi last multiplier
| dc.contributor.author | Chanda, Sumanto | |
| dc.contributor.author | Ghose-Choudhury, Anindya | |
| dc.contributor.author | Guha, Partha | |
| dc.date.accessioned | 2022-02-11T18:34:49Z | |
| dc.date.available | 2022-02-11T18:34:49Z | |
| dc.date.issued | 2018-06-15 | |
| dc.description.abstract | We 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chanda, 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15313 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Jacobi-Maupertuis metric | |
| dc.subject | Position-dependent mass | |
| dc.subject | Jacobi's last multiplier | |
| dc.title | Jacobi-Maupertuis metric of Lienard type equations and Jacobi last multiplier | |
| dc.type | Article |