Chekanov, N. A.; Rostovtsev, V. A.; Uwano, Y.; Vinitsky, S. I. GITA\(^{-1}\): A symbolic computing program for an inverse problem of the Birkhoff-Gustavson normal form expansion. (English) Zbl 0960.65136 Comput. Phys. Commun. 126, No. 1-2, 47-50 (2000). Summary: We present briefly a symbolic computing program named \(\text{GITA}^{-1}\) working on REDUCE 3.3 or later, which solves an ‘inverse problem’ for the Birkhoff-Gustavson normal form expansion. MSC: 65P10 Numerical methods for Hamiltonian systems including symplectic integrators 37M15 Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems 81R12 Groups and algebras in quantum theory and relations with integrable systems 68W30 Symbolic computation and algebraic computation Keywords:computer algebra; REDUCE; inverse problem; nonlinear dynamical systems; integrable Hamiltonian systems; symbolic computing program; Birkhoff-Gustavson normal form Software:GITA; REDUCE PDFBibTeX XMLCite \textit{N. A. Chekanov} et al., Comput. Phys. Commun. 126, No. 1--2, 47--50 (2000; Zbl 0960.65136) Full Text: DOI