Lagrangians for dissipative nonlinear oscillators: the method of Jacobi Last Multiplier

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dc.creatorNucci, M. C.
dc.creatorTamizhmani, K. M.
dc.date2008-08-29
dc.date.accessioned2026-07-07T10:05:31Z
dc.date.available2026-07-07T10:05:31Z
dc.descriptionWe present a method devised by Jacobi to derive Lagrangians of any second-order differential equation: it consists in finding a Jacobi Last Multiplier. We illustrate the easiness and the power of Jacobi's method by applying it to several equations and also a class of equations studied by Musielak with his own method [Musielak ZE, Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients. J. Phys. A: Math. Theor. 41 (2008) 055205 (17pp)], and in particular to a Liènard type nonlinear oscillator, and a second-order Riccati equation.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0809.0022
dc.identifierhttp://arxiv.org/abs/0809.0022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170031
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleLagrangians for dissipative nonlinear oscillators: the method of Jacobi Last Multiplier
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