Smale Regular and Chaotic A-Homeomorphisms and A-Diffeomorphisms
Vladislav S. Medvedev, Evgeny V. Zhuzhoma

Список литературы
1.	Afraimovich, V. S. and Hsu, S.-B., Lectures on Chaotic Dynamical Systems, AMS/IP Stud. Adv. Math., 28, AMS, Providence, R.I., 2003, 353 pp.
2.	Akin, E., The General Topology of Dynamical Systems, Grad. Stud. Math., 1, AMS, Providence, R.I., 1993, x+261 pp.
3.	Akin, E., Hurley, M., and Kennedy, J. A., “Dynamics of Topologically Generic Homeomorphisms”, Mem. Amer. Math. Soc., 164:783 (2003), 138
4.	Anosov, D. V., “Geodesic Flows on Closed Riemannian Manifolds of Negative Curvature”, Proc. Steklov Inst. Math., 90 (1967), 1–235      ; Tr. Mat. Inst. Steklova, 90 (1967), 3–210 (Russian)
5.	Anosov, D. V., “On a Class of Invariant Sets of Smooth Dynamical Systems”, Proc. of the 5th Internat. Conf. on Nonlinear Oscillations, v. 2, Math. Inst. Ukrainian Acad. Sci., Kiev, 1970, 39–45 (Russian)
6.	Anosov, D. V. and Zhuzhoma, E. V., “Nonlocal Asymptotic Behavior of Curves and Leaves of Laminations on Universal Coverings”, Proc. Steklov Inst. Math., 2005, no. 2(249), 1–219    ; Tr. Mat. Inst. Steklova, 249 (2005), 3–239 (Russian)
7.	Aranson, S. Kh., Belitsky, G. R., and Zhuzhoma, E. V., Introduction to the Qualitative Theory of Dynamical Systems on Surfaces, Transl. Math. Monogr., 153, AMS, Providence, R.I., 1996, xiv+325 pp.
8.	Jiang, B., Ni, Y., and Wang, Sh., “3-Manifolds That Admit Knotted Solenoids As Attractors”, Trans. Amer. Math. Soc., 356:11 (2004), 4371–4382
9.	Bowen, R., “Topological Entropy and Axiom A”, Global Analysis: Proc. Sympos. Pure Math. (Berkeley, Calif., 1968), v. 14, AMS, Providence, R.I., 1970, 23–41
10.	Daverman, R. J. and Venema, G. A., Embeddings in Manifolds, Grad. Stud. Math., 106, AMS, Providence, R.I., 2009, xviii+468 pp.
11.	Eells, J., Jr. and Kuiper, N. H., “Manifolds Which Are Like Projective Planes”, Inst. Hautes Études Sci. Publ. Math., 14 (1962), 5–46
12.	Franks, J., “Anosov Diffeomorphisms”, Global Analysis: Proc. Sympos. Pure Math. (Berkeley, Calif., 1968), v. 14, AMS, Providence, R.I., 1970, 61–93
13.	Grines, V., Medvedev, T., and Pochinka, O., Dynamical Systems on $2$- and $3$-Manifolds, Dev. Math., 46, Springer, New York, 2016, XXVI, 295 pp.
14.	Grines, V. Z., Gurevich, E. Ya., Zhuzhoma, E. V., and Pochinka, O. V., “Classification of Morse – Smale Systems and the Topological Structure of Underlying Manifolds”, Russian Math. Surveys, 74:1 (2019), 37–110        ; Uspekhi Mat. Nauk, 74:1(445) (2019), 41–116 (Russian)
15.	Grines, V., Medvedev, T., Pochinka, O., and Zhuzhoma, E., “On Heteroclinic Separators of Magnetic Fields in Electrically Conducting Fluids”, Phys. D, 294 (2015), 1–5
16.	Grines, V. Z. and Zhuzhoma, E. V., “The Topological Classification of Orientable Attractors on an $n$-Dimensional Torus”, Russian Math. Surveys, 34:4 (1979), 163–164        ; Uspekhi Mat. Nauk, 34:4 (1979), 185–186 (Russian)
17.	Grines, V. and Zhuzhoma, E., “On Structurally Stable Diffeomorphisms with Codimension One Expanding Attractors”, Trans. Amer. Math. Soc., 357:2 (2005), 617–667
18.	Grobman, D. M., “Homeomorphism of Systems of Differential Equations”, Dokl. Akad. Nauk SSSR, 128:5 (1959), 880–881 (Russian)
19.	Grobman, D. M., “Topological Classification of Neighborhoods of a Singularity in $n$-Space”, Mat. Sb. (N. S.), 56(98) (1962), 77–94 (Russian)
20.	Haefliger, A., “Plongements différentiable de variétés dans variétés”, Comment. Math. Helv., 36 (1961/1962), 47–82
21.	Hartman, Ph., “On the Local Linearization of Differential Equations”, Proc. Amer. Math. Soc., 14:4 (1963), 568–573
22.	Hirsch, M. W., Differential Topology, Grad. Texts in Math., 33, Springer, New York, 1976, x, 221 pp.
23.	Hirsch, M. W. and Pugh, C. C., “Stable Manifolds and Hyperbolic Sets”, Global Analysis: Proc. Sympos. Pure Math. (Berkeley, Calif., 1968), v. 14, AMS, Providence, R.I., 1970, 133–163
24.	Hirsch, M. W., Pugh, C. C., and Shub, M., Invariant Manifolds, Lecture Notes in Math., 583, Springer, New York, 1977, ii+149 pp.
25.	Ma, J. and Yu, B., “The Realization of Smale Solenoid Type Attractors in $3$-Manifolds”, Topology Appl., 154:17 (2007), 3021–3031
26.	Kuznetsov, S. P., “Example of a Physical System with a Hyperbolic Attractor of the Smale – Williams Type”, Phys. Rev. Lett., 95:14 (2005), 144101, 4 pp.
27.	Leontovich, E. A. and Mayer, A. G., “On Trajectories Determining Qualitative Structure of Sphere Partition into Trajectories”, Dokl. Akad. Nauk SSSR, 14:5 (1937), 251–257 (Russian)
28.	Leontovich, E. A. and Maier, A. G., “On a Scheme Determining the Topological Structure of a Decomposition into Trajectories”, Dokl. Akad. Nauk SSSR, 103:4 (1955), 557–560 (Russian)
29.	Mañé, R., “A Proof of the $C^1$ Stability Conjecture”, Publ. Math. Inst. Hautes Études Sci., 66 (1987), 161–210
30.	Manning, A., “There Are No New Anosov Diffeomorphisms on Tori”, Amer. J. Math., 96:3 (1974), 422–429
31.	Zhuzhoma, E. V. and Medvedev, V. S., “Global Dynamics of Morse – Smale Systems”, Proc. Steklov Inst. Math., 261:1 (2008), 112–135      ; Tr. Mat. Inst. Steklova, 261 (2008), 115–139 (Russian)
32.	Medvedev, V. S. and Zhuzhoma, E. V., “Morse – Smale Systems with Few Non-Wandering Points”, Topology Appl., 160:3 (2013), 498–507
33.	Zhuzhoma, E. V. and Medvedev, V. S., “Continuous Morse – Smale Flows with Three Equilibrium Positions”, Sb. Math., 207:5 (2016), 702–723      ; Mat. Sb., 207:5 (2016), 69–92 (Russian)
34.	Medvedev, V. S. and Zhuzhoma, E. V., “Two-Dimensional Attractors of A-Flows and Fibered Links on Three-Manifolds”, Nonlinearity, 35:5 (2022), 2192–2205
35.	Milnor, J., “On Manifolds Homeomorphic to the $7$-Sphere”, Ann. of Math. (2), 64:2 (1956), 399–405
36.	Newhouse, S., “On Codimension One Anosov Diffeomorphisms”, Amer. J. Math., 92:3 (1970), 761–770
37.	Nikolaev, I. and Zhuzhoma, E., Flows on $2$-Dimensional Manifolds: An Overview, Lect. Notes in Math., 1705, Springer, Berlin, 1999, xx+294 pp.
38.	Palis, J., “On Morse – Smale Dynamical Systems”, Topology, 8:4 (1968), 385–404
39.	Plykin, R. V., “On the Geometry of Hyperbolic Attractors of Smooth Cascades”, Russian Math. Surveys, 39:6 (1984), 85–131        ; Uspekhi Mat. Nauk, 39:6(240) (1984), 75–113 (Russian)
40.	Poincaré, H., “Sur les courbes définies par les équations différentielles: 4”, J. Math. Pures Appl., 2 (1886), 151–218
41.	Pugh, C. C., “On a Theorem of P. Hartman”, Amer. J. Math., 91:2 (1969), 363–367
42.	Pugh, C. C., Walker, R. B., and Wilson, F. W., Jr., “On Morse – Smale Approximations: A Counterexample”, J. Differential Equations, 23:1 (1977), 173–182
43.	Robinson, C., Dynamical Systems: Stability, Symbolic Dynamics, Chaos, Stud. Adv. Math., 28, 2nd ed., CRC, Boca Raton, Fla., 1998, 520 pp.
44.	Robinson, C. and Williams, R., “Finite Stability Is Not Generic”, Proc. of Symp. on Dynamical Systems (Brazil, 1971), ed. M. M. Peixoto, Acad. Press, New York, 1973, 451–462
45.	Smale, S., “Morse Inequalities for a Dynamical System”, Bull. Amer. Math. Soc., 66 (1960), 43–49
46.	Smale, S., “Differentiable Dynamical Systems”, Bull. Amer. Math. Soc., 73:6 (1967), 747–817
47.	Strogatz, S., Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, 2nd ed., CRC, Boca Raton, Fla., 2015, 532 pp.
48.	Williams, R. F., “The “DA” Maps of Smale and Structural Stability”, Global Analysis: Proc. Sympos. Pure Math. (Berkeley, Calif., 1968), v. 14, AMS, Providence, R.I., 1970
49.	Williams, R. F., “Expanding Attractors”, Inst. Hautes Études Sci. Publ. Math., 43 (1974), 169–203
50.	Zhuzhoma, E. V. and Isaenkova, N. V., “On Zero-Dimensional Solenoidal Basic Sets”, Sb. Math., 202:3–4 (2011), 351–372      ; Mat. Sb., 202:3–4 (2011), 47–68 (Russian)
51.	Zhuzhoma, E. V. and Medvedev, V. S., “Necessary and Sufficient Conditions for the Conjugacy of Smale Regular Homeomorphisms”, Sb. Math., 212:1 (2021), 57–69      ; Mat. Sb., 212:1 (2021), 63–77 (Russian)