Damped equations of Mathieu type

A. Ghose Choudhury, Partha Guha

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We obtain the first integrals of various extensions of the Mathieu equation by exploiting the integrable time-dependent classical dynamics introduced by Bartuccelli and Gentile (2003) [6]. We also compute the Lagrangian of the Van der Pol-Mathieu equation using Jacobi's last multiplier and consider certain coupled versions of time-dependent equations of the oscillator type.

Original languageBritish English
Pages (from-to)85-93
Number of pages9
JournalApplied Mathematics and Computation
StatePublished - 25 Feb 2014


  • First integrals
  • Jacobi's last multiplier
  • Lagrangians
  • Mathieu equation
  • Van der Pol-Mathieu equation


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