Benedetti, Gabriele On closed orbits for twisted autonomous Tonelli Lagrangian flows. (English) Zbl 1368.53054 Publ. Mat. Urug. 16, 41-79 (2016). In [Calc. Var. Partial Differ. Equ. 27, No. 3, 321–395 (2006; Zbl 1105.37037)], G. Contreras formulated a very general theorem about the existence of periodic motions for autonomous Lagrangian systems over compact configuration spaces. The aim of these lecture notes is to present a generalization of such a theorem to systems which admit only a local Lagrangian description. Among these systems the important example of magnetic flow on surfaces is detailed. Reviewer: Mircea Crâşmăreanu (Iaşi) Cited in 1 Document MSC: 53D12 Lagrangian submanifolds; Maslov index 37J50 Action-minimizing orbits and measures (MSC2010) 70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics 70H03 Lagrange’s equations Keywords:closed orbits for twisted autonomous Tonelli Lagrangian flows Citations:Zbl 1105.37037 PDFBibTeX XMLCite \textit{G. Benedetti}, Publ. Mat. Urug. 16, 41--79 (2016; Zbl 1368.53054) Full Text: Link