Partha Guha
Articles written in Pramana – Journal of Physics
Volume 77 Issue 5 November 2011 pp 917-927 Nonlinear Waves and Solitons
The role of the Jacobi last multiplier and isochronous systems
Partha Guha Anindya Ghose Choudhury
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
Generalized virial theorem for the Liénard-type systems
José Cariñena Anindya Ghose Choudhury Partha Guha
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 97, 2023
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