Li, Guangcheng; Chen, Leiming; Wang, Dongxiao; Wu, Dayong Manifold stability of equilibrium state of autonomous generalized Birkhoff system. (Chinese. English summary) Zbl 1224.70013 Acta Phys. Sin. 59, No. 5, 2932-2934 (2010). Summary: Manifold stability of the equilibrium state of an autonomous generalized Birkhoff system is studied. The perturbation equation and equilibrium equation of an autonomous generalized Birkhoff system are established. The corresponding criteria for manifold stability are given by the Lyapunov stability theory. Finally, an example is presented to illustrate these results. Cited in 2 Documents MSC: 70H14 Stability problems for problems in Hamiltonian and Lagrangian mechanics 37J25 Stability problems for finite-dimensional Hamiltonian and Lagrangian systems Keywords:generalized Birkhoff system; autonomous system; equilibrium state; manifold stability PDFBibTeX XMLCite \textit{G. Li} et al., Acta Phys. Sin. 59, No. 5, 2932--2934 (2010; Zbl 1224.70013)