Articles written in Pramana – Journal of Physics
Volume 77 Issue 5 November 2011 pp 917-927 Nonlinear Waves and Solitons
We employ Jacobi’s last multiplier (JLM) to study planar differential systems. In particular, we examine its role in the transformation of the temporal variable for a system of ODEs originally analysed by Calogero–Leyvraz in course of their identiﬁcation of isochronous systems. We also show that JLM simpliﬁes to a great extent the proofs of isochronicity for the Liénard-type equations.
Volume 84 Issue 3 March 2015 pp 373-385
A geometrical description of the virial theorem (VT) of statistical mechanics is presented using the symplectic formalism. The character of the Clausius virial function is determined for second-order differential equations of the Liénard type. The explicit dependence of the virial function on the Jacobi last multiplier is illustrated. The latter displays a dual role, namely, as a position-dependent mass term and as an appropriate measure in the geometrical context.
Volume 96, 2022
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