%0 Journal Article %A Claudia Chanu %A Luca Degiovanni %A Giovanni Rastelli %T First Integrals of Extended Hamiltonians in $n+1$ Dimensions Generated by Powers of an Operator %J Symmetry, integrability and geometry: methods and applications %D 2011 %V 7 %U http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a37/ %G en %F SIGMA_2011_7_a37