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Bibliography
1 K M Adhikari, M C Sullivan, Further study of simple Smale flows using four band templates, Topology Proc. 50 (2017) 21 MR3510805
2 F Béguin, C Bonatti, Flots de Smale en dimension 3 : présentations finies de voisinages invariants d’ensembles selles, Topology 41 (2002) 119 MR1871244
3 F Béguin, C Bonatti, B Yu, Building Anosov flows on 3-manifolds, Geom. Topol. 21 (2017) 1837 MR3650083
4 J S Birman, R F Williams, Knotted periodic orbits in dynamical system, II : Knot holders for fibered knots, from: "Low-dimensional topology" (editor S J Lomonaco Jr.), Contemp. Math. 20, Amer. Math. Soc. (1983) 1 MR718132
5 C Bonatti, V Grines, Knots as topological invariants for gradient-like diffeomorphisms of the sphere S3, J. Dynam. Control Systems 6 (2000) 579 MR1778215
6 C Bonatti, V Grines, F Laudenbach, O Pochinka, Topological classification of Morse–Smale diffeomorphisms without heteroclinic curves on 3-manifolds, Ergodic Theory Dynam. Systems 39 (2019) 2403 MR3989123
7 C Bonatti, V Grines, V Medvedev, E Pécou, Topological classification of gradient-like diffeomorphisms on 3-manifolds, Topology 43 (2004) 369 MR2052968
8 C Bonatti, V Grines, O Pochinka, Classification of Morse–Smale diffeomorphisms with the chain of saddles on 3-manifolds, from: "Foliations 2005" (editors P Walczak, R Langevin, S Hurder, T Tsuboi), World Sci. (2006) 121 MR2284779
9 C Bonatti, T Pinsky, Lorenz attractors and the modular surface, Nonlinearity 34 (2021) 4315 MR4281447
10 K Bonatti, V Z Grines, O V Pochinka, Classification of Morse–Smale diffeomorphisms with a finite set of heteroclinic orbits on 3-manifolds, Tr. Mat. Inst. Steklova 250 (2005) 5 MR2200906
11 É Ghys, Knots and dynamics, from: "International Congress of Mathematicians, I" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc. (2007) 247 MR2334193
12 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
13 E L Haynes, M C Sullivan, Simple Smale flows with a four band template, Topology Appl. 177 (2014) 23 MR3258180
14 K Johannson, Homotopy equivalences of 3-manifolds with boundaries, 761, Springer (1979) MR551744
15 V Meleshuk, Embedding templates in flows, PhD thesis, Northwestern University (2002)
16 J Milnor, Hyperbolic geometry : the first 150 years, Bull. Amer. Math. Soc. 6 (1982) 9 MR634431
17 J M Montesinos, Classical tessellations and three-manifolds, Springer (1987) MR915761
18 O V Pochinka, D D Shubin, Nonsingular Morse–Smale flows with three periodic orbits on orientable 3-manifolds, Mat. Zametki 112 (2022) 426 MR4538779
19 S Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967) 747 MR228014
20 M C Sullivan, Visually building Smale flows in S3, Topology Appl. 106 (2000) 1 MR1769328
21 M C Sullivan, Realizing full n-shifts in simple Smale flows, Topology Appl. 218 (2017) 19 MR3598604
22 B Yu, Lorenz like Smale flows on three-manifolds, Topology Appl. 156 (2009) 2462 MR2546948
23 B Yu, The templates of non-singular Smale flows on three manifolds, Ergodic Theory Dynam. Systems 32 (2012) 1137 MR2995660
24 B Yu, Behavior 0 nonsingular Morse Smale flows on S3, Discrete Contin. Dyn. Syst. 36 (2016) 509 MR3369234
25 B Yu, Every 3-manifold admits a structurally stable nonsingular flow with three basic sets, Proc. Amer. Math. Soc. 144 (2016) 4949 MR3544542