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nlin.SI2017★ 14 cited
On a reduction of the generalized Darboux-Halphen system
Sumanto Chanda, Sarbarish Chakravarty, Partha Guha
The equations for the general Darboux-Halphen system obtained as a reduction of the self-dual Yang-Mills can be transformed to a third-order system which resembles the classical Da…
nlin.SI2017★ 1 cited
Jacobi-Maupertuis metric of Lienard type equations and Jacobi Last Multiplier
Sumanto Chanda, A. Ghose-Choudhury, Partha Guha
We present a construction of the Jacobi-Maupertuis (JM) principle for an equation of the Lienard type, viz \ddot{x} + f(x)x^2 + g(x) = 0 using Jacobi's last multiplier. The JM metr…