Xie, Jiafang; Pang, Shuo; Zou, Jietao; Li, Guofu The Birkhoffian expression of a Boltzmann-Hamel equation of nonholonomic system and its generalized symplectic geometric algorithm. (Chinese. English summary) Zbl 1289.70019 Acta Phys. Sin. 61, No. 23, 230201 (2012). Summary: For a Boltzmann-Hamel equation of nonholonomic mechanical system, when it meets certain conditions, the Boltzmann-Hamel equation can be transformed into a Birkhoffian system. By constructing the generating function, the system is investigated numerically using the generalized symplectic geometric algorithm of the nonautonomous Birkhoffian system. Compared with the above-mentioned algorithm with the classical Runge-Kutta method, Birkhoffian symplectic scheme is very accurate in a long-term tracing. Cited in 3 Documents MSC: 70F25 Nonholonomic systems related to the dynamics of a system of particles 70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics 70H45 Constrained dynamics, Dirac’s theory of constraints Keywords:nonholonomic constraint; Boltzmann-Hamel equation; Birkhoffian symplectic algorithm PDF BibTeX XML Cite \textit{J. Xie} et al., Acta Phys. Sin. 61, No. 23, 230201 (2012; Zbl 1289.70019)