Bautista, S.; Morales, C. Existence of periodic orbits for singular-hyperbolic sets. (English) Zbl 1124.37021 Mosc. Math. J. 6, No. 2, 265-297 (2006). Every singular-hyperbolic attracting set of a \(C^1\) flow on a compact 3-manifold has a periodic orbit. Reviewer: Jerzy Ombach (Kraków) Cited in 17 Documents MSC: 37D30 Partially hyperbolic systems and dominated splittings 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 37C27 Periodic orbits of vector fields and flows Keywords:singular-hyperbolic set; periodic orbit PDFBibTeX XMLCite \textit{S. Bautista} and \textit{C. Morales}, Mosc. Math. J. 6, No. 2, 265--297 (2006; Zbl 1124.37021) Full Text: Link