Jacobi-Maupertuis metric of Liénard type equations and Jacobi last multiplier

Sumanto Chanda, Anindya Ghose-Choudhury, Partha Guha

Research output: Contribution to journalArticlepeer-review


We present a construction of the Jacobi-Maupertuis (JM) principle for an equation of the Liénard type, (Formula presented) 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.

Original languageBritish English
Article number120
JournalElectronic Journal of Differential Equations
StatePublished - 15 Jun 2018


  • Jacobi's last multiplier
  • Jacobi-Maupertuis metric
  • Position-dependent mass


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