Suris, Yuri B. Discrete-time analogues of some nonlinear oscillators in the inverse-square potential. (English) Zbl 0840.70018 J. Phys. A, Math. Gen. 27, No. 24, 8161-8169 (1994). Summary: We propose a family of symplectic maps providing finite difference approximations for the Wojciechowski and Rosochatius systems. The Lax pair representations are found and complete integrability is proved. Cited in 2 Documents MSC: 70H05 Hamilton’s equations 37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 35Q99 Partial differential equations of mathematical physics and other areas of application 39A12 Discrete version of topics in analysis Keywords:Wojciechowski system; Rosochatius system; family of symplectic maps; finite difference approximations; Lax pair representations; complete integrability PDFBibTeX XMLCite \textit{Y. B. Suris}, J. Phys. A, Math. Gen. 27, No. 24, 8161--8169 (1994; Zbl 0840.70018) Full Text: DOI