
PROGRAM LIBRARY JINRLIB GITA  a REDUCE program for the normalization of polynomial hamiltoniansАвторы: Б.Басиос, Н.А.Чеканов, Б.Л.Марковски, В.А.Ростовцев, С.И.Виницкий 

Language: Reduce Nature of problem: The preparation of the normal BirkhoffGustavson form is the universal and
consistent method of investigation of classical Hamiltonian systems [13]. Solution method: The method of solution consists of performing a series of canonical
transformations which reduce the given Hamiltonian to a normal form. Restrictions: The computer time grows rapidly with the number of degrees needed to solve to the required approximation, especially if one wants to calculate the formal integral of the motion. Time limits and available computer memory may cause restrictions. Unusual features: As is known, there are FORTRAN programs which implemented the BirkhoffGustavson algorithm [2,6]. Our GITA is the first REDUCE algebraic program which calculates the normal BirkhoffGustavson form and the integral of motion for the twodimensional polynomial Hamiltonians. Running time: The running time varies from 6.3s to 405s for the fourth and the eighth degree of the approximations, respectively, for the wellknown HenonHeiles Hamiltonian [5]. See also: http://cpc.cs.qub.ac.uk/summaries/ADBW_v1_0.html References:
