On 4-dimensional flows with wildly embedded invariant manifolds of a periodic orbit

[1]C. Bonatti and V. Grines (2000), Knots as topological invariant for gradient-like diffeomorphisms of the sphere S³, // J. Dyn. Control Syst. 6:4, 579–602.BonattiC.GrinesV.2000Knots as topological invariant for gradient-like diffeomorphisms of the sphere S³J. Dyn. Control Syst.6457960210.1023/A:1009508728879Search in Google Scholar

[2]Bonatti C., Grines V. (2019), Pochinka O. Topological classification of Morse-Smale diffeomorphisms on 3-manifolds // Duke Mathematical Journal. 2019. Vol. 168. No. 13. P. 2507–2558.BonattiC.GrinesV.2019Pochinka O. Topological classification of Morse-Smale diffeomorphisms on 3-manifoldsDuke Mathematical Journal2019168132507255810.1215/00127094-2019-0019Search in Google Scholar

[3]R. J. Daverman G. A. Venema (2009), Embedding in Manifolds. Graduate studies in mathematics, v. 106. http://www.calvin.edu/~venema/embeddingsbook/DavermanR. J.VenemaG. A.2009Embedding in ManifoldsGraduate studies in mathematics, v. 106. http://www.calvin.edu/~venema/embeddingsbook/10.1090/gsm/106Search in Google Scholar

[4]Fox R, Artin E (1948). Some wild cells and spheres in three-dimensional space. // Ann of Math. 1948, 979–990.FoxRArtinE1948Some wild cells and spheres in three-dimensional spaceAnn of Math194897999010.1007/978-1-4612-5717-2_39Search in Google Scholar

[5]V.Z. Grines, T.V. Medvedev, O.V. Pochinka. (2016), Dynamical Systems on 2- and 3-Manifolds. Dev. Math., 46, Springer, Cham, 2016, xxvi+295 pp.GrinesV.Z.MedvedevT.V.PochinkaO.V.2016Dynamical Systems on 2- and 3-ManifoldsDev. Math.46,SpringerCham2016xxvi+29510.1007/978-3-319-44847-3Search in Google Scholar

[6]V.S. Medvedev, E.V. Zhuzhoma (2013), Morse–Smale systems with few non-wandering points. Topology and its Applications, 160 (2013) 498–507.MedvedevV.S.ZhuzhomaE.V.2013Morse–Smale systems with few non-wandering pointsTopology and its Applications160201349850710.1016/j.topol.2012.12.009Search in Google Scholar

[7]T.V. Medvedev, O.V. Pochinka (2018). The wild Fox-Artin arc in invariant sets of dynamical systems // Dynamical Systems. 2018. Vol. 33. No. 4. P. 660–666.MedvedevT.V.PochinkaO.V.2018The wild Fox-Artin arc in invariant sets of dynamical systemsDynamical Systems201833466066610.1080/14689367.2017.1421903Search in Google Scholar

[8]M.M. Peixoto (1973). On the classification of flows on 2-manifolds, Dynamical systems, Proc. Sympos. (Univ. Bahia, Salvador, 1971), Academic Press, New York, 1973, 389–419PeixotoM.M.1973On the classification of flows on 2-manifolds, Dynamical systems, Proc. Sympos.(Univ. Bahia, Salvador, 1971),Academic PressNew York197338941910.1016/B978-0-12-550350-1.50033-3Search in Google Scholar

[9]Pixton D (1977). Wild unstable manifolds. Topology. 1977, 16(2), 167–172.PixtonD1977Wild unstable manifoldsTopology197716216717210.1016/0040-9383(77)90014-3Search in Google Scholar