2 papers
nlin.SI2008
On the inverse problem of calculus of variations
M. C. Nucci, A. M. Arthurs
We show that given an ordinary differential equation of order four, it may be possible to determine a Lagrangian if the third derivative is absent (or eliminated) from the equation…
nlin.SI2002
Jacobi's last multiplier and the complete symmetry group of the Euler-Poinsot system
M. C. Nucci, P. G. L. Leach
The symmetry approach to the determination of Jacobi's last multiplier is inverted to provide a source of additional symmetries for the Euler-Poinsot system. These additional symme…