GITA swMATH ID: 353 Software Authors: V. Basios, N.A. Chekanov, B.L. Markovski, V.A. Rostovtsev, S.I. Vinitsky Description: GITA: A REDUCE program for the normalization of polynomial Hamiltonians. For a given polynomial Hamiltonian near an equilibrium point the program GITA calculates analytically the normal Birkhoff-Gustavson form in Cartesian as well as angle-action coordinates and the formal integral of the motion. These quantities are presented in the form of a truncated power series, the highest degree of which determines the degree of the approximation. The program performs the calculation of the modified normal Birkhoff-Gustavson form for the Hamiltonian restricted by the resonance condition. The program package is written in the computer algebra system REDUCE. Homepage: http://www.cpc.cs.qub.ac.uk/summaries/ADBW_v1_0.html Programming Languages: Reduce Operating Systems: DOS 3 VER. 3.0 or higher, MS Windows 3.1. Dependencies: Computer: IBM PC AT/486MHZ 16Mb, RAM: 2000K words Keywords: Hamiltonian; Normal birkhoff Gustavson form; Integral of motion; Canonical Transformation; Homogeneous polynomial; Algebraic equation; Reduce Related Software: REDUCE; LINA01; pchip; UNCMND Cited in: 8 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year GITA: A REDUCE program for the normalization of polynomial Hamiltonians. Zbl 0888.65083Basios, V.; Chekanov, N. A.; Markovski, B. L.; Rostovtsev, V. A.; Vinitsky, S. I. 1995 all top 5 Cited by 17 Authors 5 Vinitsky, Sergue I. 4 Chekanov, N. A. 4 Rostovtsev, Vitaly A. 3 Uwano, Yoshio 2 Gusev, Alexander A. 1 Basios, Vasileios 1 Gerdt, Vladimir Petrovich 1 Gonchar, Vsevolod Yu. 1 Kaschiev, Michael S. 1 Markovski, B. L. 1 Markovskij, B. L. 1 Pandey, Girja Shankar 1 Prasad, Rai Gyan Narain 1 Samoylov, Valentin N. 1 Tupikova, T. V. 1 Ukolov, Yu. A. 1 Weil, André Cited in 3 Serials 3 Computer Physics Communications 1 Programming and Computer Software 1 Vita Mathematica all top 5 Cited in 7 Fields 4 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Partial differential equations (35-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year