Dynamics aspects in a galactic type Hamiltonian

We are interested in the investigation of the dynamics of the canonical system of differential equations deriving from the galactic type Hamiltonian given by the quartic function H = 1/2(y(1)(2) + omega(2)(1)x(1)(2),) + delta/2(y(2)(2) + omega(2)(2)x(2)(2)) - is an element of x(1)(2)x(2)(2) from an analytical point of view according to the real parameters 8 and c. Similar Hamiltonians have been considered by several investigators in order to study the motion in the central parts of elliptical galaxies. (C) 2010 Elsevier Ltd. All rights reserved.