• The role of the Jacobi last multiplier and isochronous systems

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      https://www.ias.ac.in/article/fulltext/pram/077/05/0917-0927

    • Keywords

       

      Jacobi last multiplier; isochronous systems; Liénard equation; commuting vector fields.

    • Abstract

       

      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.

    • Author Affiliations

       

      Partha Guha1 Anindya Ghose Choudhury2

      1. S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata 700 098, India
      2. Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Kolkata 700 009, India
    • Dates

       
  • Pramana – Journal of Physics | News

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