A class of dynamical systems with a compact phase manifold was studied in detail. For systems of this class the behavior of all trajectories is maximally unstable (technically, these systems are completely and uniformly hyperbolic). These systems are now called "Anosov systems"; their theory is the prototype of a number of subsequence works on the systems with the hyperbolic behavior of trajectories, for which the compete and uniform hyperbolicity condition is weakened or modified in some way. A smooth version of the method of approximating by periodic transformations was suggested (jointly with A. B. Katok). This lead to construction of dynamical systems with unexpected ergodic properties. Constructions in the theory of regular linear systems of ordinary differential equations in the complex domain were simplified. This fascilitated the work in this area. Last time I studied geometric questions related to the behavior of trajectories of flows on surfaces when lifted to the covering plane.
Biography
Graduated from Department of Mechanics and Mathematics of MSU in 1958 (chair of differential equations) and postgraduate courses at MIAN in 1961 (dept. of ordinary differential equations). Ph.D. thesis was defended in 1961. D.Sci. thesis was defended in 1965. A list of my papers contains more than 50 items. Since 1970 I have led the seminar in MSU on dynamical systems theory (first jointly with A. B. Katok, then with A. M. Stepin and last time — with him and R. I. Grigorchuk). After L. S. Pontryagin died (1988) I became (jointly with R. V. Gamkrelidze and later — with A. A. Bolibruch) a chief oft he seminar on ordinary differential equations founded by him in MIAN.
In 1965 I was awarded the prize of the Moscow Mathematical Society. In 1976 I was awarded the State prize of USSR. In 1999 I became a Honorary professor of the MSU. InV2001 I was awarded the Lyapunov prize of Russ. Acad. Sci. (jointly with A. I. Neistadt).
Main publications:
D. V. Anosov, Geodezicheskie potoki na zamknutykh rimanovykh mnogoobraziyakh otritsatelnoi krivizny, Trudy MIAN, XC, Nauka, M., 1967
D. V. Anosov, A. B. Katok, “Novye primery v gladkoi ergodicheskoi teorii. Ergodicheskie diffeomorfizmy”, Trudy Moskovskogo matematicheskogo obschestva, 23, 1970, 3–36
D. V. Anosov, A. A. Bolibruch, The Riemann–Hilbert problem, A publication from the Steklov Institute of Mathematics, Aspects Math., E22, Friedr. Vieweg & Sohn, Braunschweg, 1994
D. V. Anosov, “L.S. Pontryagin's Studies on Optimal Processes and Differential Games”, Proc. Steklov Inst. Math., 291 (2015), 1–3
2013
2.
A. A. Agrachëv, D. V. Anosov, S. M. Aseev, V. M. Buchstaber, A. M. Vershik, Ya. B. Vorobets, V. A. Kaimanovich, B. S. Kashin, I. G. Lysënok, A. Yu. Ol'shanskii, V. N. Remeslennikov, Ya. G. Sinai, S. K. Smirnov, A. M. Stepin, I. A. Taimanov, E. V. Shchepin, “Rostislav Ivanovich Grigorchuk (on his sixtieth birthday)”, Russian Math. Surveys, 68:5 (2013), 967–971
3.
D. Anosov, L. Bartholdi, A. Bufetov, T. Ceccherini-Silberstein, A. Erschler, M. Gromov, P. de la Harpe, Yu. Ilyashenko, A. Klimenko, T. Nagnibeda, V. Nekrashevych, Ya. Sinai, A. Stepin, E. Zelmanov, “Rostislav Ivanovich Grigorchuk”, Mosc. Math. J., 13:4 (2013), 733–734
2012
4.
D. V. Anosov, E. V. Zhuzhoma, “Closing lemmas”, Differ. Equ., 48:13 (2012), 1653–1699
2014
5.
D. V. Anosov, “On trajectories entirely situated near a hyperbolic set”, Journal of Mathematical Sciences, 201:5 (2014), 553–565
2012
6.
D. V. Anosov, S. M. Aseev, R. V. Gamkrelidze, S. P. Konovalov, M. S. Nikol'skii, N. Kh. Rozov, “Evgenii Frolovich Mishchenko (on the 90th anniversary of his birth)”, Russian Math. Surveys, 67:2 (2012), 385–402
7.
A. A. Agrachev, D. V. Anosov, I. A. Bogaevskii, A. S. Bortakovskii, A. B. Budak, V. A. Vassiliev, V. V. Goryunov, S. M. Gusein-Zade, A. A. Davydov, V. R. Zarodov, V. D. Sedykh, D. V. Treshchev, V. N. Chubarikov, “Vladimir Mikhailovich Zakalyukin (obituary)”, Russian Math. Surveys, 67:2 (2012), 375–379
8.
D. V. Anosov, V. S. Afraimovich, L. A. Bunimovich, S. V. Gonchenko, V. Z. Grines, Yu. S. Ilyashenko, A. B. Katok, S. A. Kashchenko, V. V. Kozlov, L. M. Lerman, A. D. Morozov, A. I. Neishtadt, Ya. B. Pesin, A. M. Samoilenko, Ya. G. Sinai, D. V. Treschev, D. V. Turaev, A. N. Sharkovskii, A. L. Shil'nikov, “Leonid Pavlovich Shil'nikov (obituary)”, Russian Math. Surveys, 67:3 (2012), 573–577
9.
D. V. Anosov, V. A. Vassiliev, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, V. A. Il'in, V. V. Kozlov, A. V. Kryazhimskiy, S. M. Nikol'skii, A. N. Parshin, V. M. Filippov, I. R. Shafarevich, “Lev Dmitrievich Kudryavtsev (obituary)”, Russian Math. Surveys, 67:3 (2012), 569–571
2011
10.
D. V. Anosov, V. P. Leksin, “Andrei Andreevich Bolibrukh's works on the analytic theory of differential equations”, Russian Math. Surveys, 66:1 (2011), 1–33
11.
D. V. Anosov, “Local maximality of hyperbolic sets”, Proc. Steklov Inst. Math., 273 (2011), 23–24
12.
D. V. Anosov, M. Ya. Antonovskii, V. M. Buchstaber, V. Z. Grines, A. Yu. Zhirov, E. V. Zhuzhoma, N. È. Klinshpont, A. A. Mal'tsev, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, L. P. Shil'nikov, “Romen Vasil'evich Plykin (obituary)”, Russian Math. Surveys, 66:3 (2011), 627–631
2010
13.
D. V. Anosov, “On Certain Hyperbolic Sets”, Math. Notes, 87:5 (2010), 608–622
14.
D. V. Anosov, “On the mathematical work of L. S. Pontryagin”, Proc. Steklov Inst. Math., 268 (2010), 5–16
15.
D. V. Anosov, “Extension of zero-dimensional hyperbolic sets to locally maximal ones”, Sb. Math., 201:7 (2010), 935–946
16.
D. V. Anosov, “Intrinsic character of one property of hyperbolic sets”, J. Dyn. Control Syst., 16:4 (2010), 485–493
D. Anosov, V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, A. Khovanskii, S. Lando, S. Novikov, A. Sossinsky, M. Tsfasman, V. Vassiliev, “Vladimir Igorevich Arnold”, Mosc. Math. J., 10:3 (2010), 481–483
18.
Yu. S. Osipov, V. V. Kozlov, L. D. Faddeev, D. V. Anosov, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, N. N. Krasovskii, A. V. Kryazhimskii, A. B. Kurzhanskii, S. P. Novikov, S. M. Aseev, A. B. Zhizhchenko, D. V. Treschev, A. A. Agrachev, E. A. Volkov, N. L. Grigorenko, A. A. Davydov, M. I. Zelikin, A. Yu. Kolesov, A. A. Mal'tsev, M. S. Nikol'skii, N. Kh. Rozov, A. G. Sergeev, K. O. Besov, S. P. Konovalov, “In memory of Evgenii Frolovich Mishchenko”, Proc. Steklov Inst. Math., 271 (2010), 1–2
2009
19.
D. V. Anosov, V. V. Kozlov, V. A. Marchenko, Yu. A. Mitropol'skii, E. F. Mishchenko, S. M. Nikol'skii, B. E. Paton, V. A. Sadovnichii, E. Ya. Khruslov, F. L. Chernous'ko, “Anatolii Mikhailovich Samoilenko (on his 70th birthday)”, Russian Math. Surveys, 64:1 (2009), 175–181
20.
D. V. Anosov, V. V. Bykov, V. N. Chubarikov, N. A. Izobov, I. T. Kiguradze, T. I. Kiguradze, G.G. Kvinikadze, V. V. Kozlov, V. A. Kondrat'ev, V. A. Pliss, N. Kh. Rozov, I. N. Sergeyev, A. S. Shamaev, “Vladimir Mikhailovich Millionshchikov (1939–2009)”, Mem. Differential Equations Math. Phys., 47 (2009), 1–5
21.
S. M. Aldoshin, D. V. Anosov, G. G. Chernyi, V. N. Chubarikov, S. V. Emel'yanov, L. D. Faddeev, A. T. Fomenko, A. A. Gonchar, A. I. Grigor'ev, V. A. Il'in, M. P. Kirpichnikov, S. K. Korovin, M. V. Koval'chuk, V. V. Kozlov, A. B. Kurzhanskii, G. I. Marchuk, V. P. Maslov, E. I. Moiseev, S. M. Nikol'skii, S. P. Novikov, Yu. M. Okunev, Yu. S. Osipov, B. E. Paton, V. P. Skulachev, V. A. Tkachuk, E. P. Velikhov, Yu. I. Zhuravlev,, “Viktor Antonovich Sadovnichii. A tribute in honor of his seventieth birthday”, Differ. Equ., 45:4 (2009), 465–476
22.
D. V. Anosov, F. L. Chernous'ko, S. V. Emel'yanov, R. V. Gamkrelidze, V. A. Il'in, S. K. Korovin, A. B. Kurzhanskii, G. I. Marchuk, V. M. Matrosov, E. F. Mishchenko, E. I. Moiseev, Yu. S. Osipov, V. A. Pliss, “Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday)”, Differ. Equ., 45:10 (2009), 1401–1407
23.
D. V. Anosov, I. V. Gaishun, V. A. Il'in, N. A. Izobov, I. T. Kiguradze, V. A. Kondrat'ev, V. V. Kozlov, L. D. Kudryavtsev, A. A. Martynyuk, E. F. Mishchenko, V. A. Pliss, N. Kh. Rozov, A. M. Samoilenko, I. N. Sergeev, T. K. Shemyakina, V. S. Vladimirov, “Vladimir Mikhailovich Millionshchikov (obituary)”, Differ. Equ., 45:8 (2009), 1234–1237
D. V. Anosov, Differentsialnye uravneniya: to reshaem, to risuem, Izd-vo MTsNMO, M., 2008 , 200 pp.
2007
26.
D. V. Anosov, S. I. Bezuglyi, A. M. Vershik, S. L. Gefter, A. I. Danilenko, R. S. Ismagilov, V. A. Marchenko, N. I. Nessonov, S. P. Novikov, Ya. G. Sinai, S. D. Sinel'shchikov, A. M. Stepin, “Valentin Yakovlevich Golodets (on his 70th birthday)”, Russian Math. Surveys, 62:6 (2007), 1231–1232
27.
D. V. Anosov, V. I. Arnol'd, V. A. Vladimirov, V. V. Kozlov, Ya. G. Sinai, “Viktor Iosifovich Yudovich (obituary)”, Russian Math. Surveys, 62:2 (2007), 375–378
2006
28.
D. V. Anosov, “Dynamical systems in the 1960s: the hyperbolic revolution”, Mathematical events of the twentieth century, Springer, Berlin, 2006, 1–17
D. V. Anosov, Ot Nyutona k Kepleru, Izd-vo MTsNMO, M., 2006 , 272 pp.
30.
D. V. Anosov, Analysis, abstracts of the lectures of the Educational Center of Steklov Mathematical Institute, 2006 PDF file
2005
31.
D. V. Anosov, “On the development of the theory of dynamical systems during the past quarter century”, Surveys in modern mathematics, London Math. Soc. Lecture Note Ser., 321, Cambridge Univ. Press, Cambridge, 2005, 70–185
32.
D. V. Anosov, E. V. Zhuzhoma, “Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings”, Proc. Steklov Inst. Math., 249 (2005), 1–221
33.
D. V. Anosov, “On the Projects “Inverse Monodromy Problems and Isomonodromic Deformations,” “Wave Processes in Media with Diffusion,” and “Nonlinear Dynamics of Low-Dimensional Systems with Irregular Behavior of Trajectories””, Proc. Steklov Inst. Math., 251 (2005), 3–5
34.
D. V. Anosov, V. I. Arnol'd, A. A. Glutsyuk, A. S. Gorodetski, V. Y. Kaloshin, A. B. Katok, A. G. Khovanskii, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, S. Yu. Yakovenko, “Yulij S. Ilyashenko”, Mosc. Math. J., 5:1 (2005), 3–4
35.
D. V. Anosov, A. M. Vershik, R. V. Plykin, E. A. Sataev, N. É. Klinshpont, D. A. Kamaev, Yu. I. Ustinov, S. O. Starkov, “Yakov Grigor'evich Sinai (on his 70th birthday)”, Russian Math. Surveys, 60:5 (2005), 995–998
2004
36.
D. V. Anosov, V. P. Leksin, “Andrei Andreevich Bolibrukh in life and science (30 January 1950 – 11 November 2003)”, Russian Math. Surveys, 59:6 (2004), 1009–1028
37.
D. V. Anosov, R. V. Gamkrelidze, S. V. Emel'yanov, V. A. Il'in, S. K. Korovin, A. B. Kurzhanskiĭ, G. I. Marchuk, V. M. Matrosov, E. F. Mishchenko, E. I. Moiseev, Yu. S. Osipov, V. A. Pliss, V. V. Rumyantsev, F.L. Chernous'ko, “Nikolaĭ Nikolaevich Krasovskiĭ (on the occasion of his eightieth birthday)”, Differ. Equ., 40:11 (2004), 1517–1532
38.
D. V. Anosov, E. F. Mishchenko, “In Memory of Andrei Andreevich Bolibrukh”, Proc. Steklov Inst. Math., 244 (2004), 1
39.
Dinamicheskie sistemy i smezhnye voprosy geometrii, Sbornik statei. Posvyaschaetsya pamyati akademika Andreya Andreevicha Bolibrukha, Trudy MIAN, 244, ed. D. V. Anosov, E. F. Mischenko, Nauka, MAIK «Nauka/Interperiodika», M., 2004 , 319 pp.
2015
40.
D. V. Anosov, “Spectral Multiplicity in Ergodic Theory”, Proc. Steklov Inst. Math., 290, suppl. 1 (2015), 1–44
2003
41.
D. V. Anosov, I. G. Bashmakova, A. N. Bogolyubov, L. D. Kudryavtsev, A. N. Parshin, S. S. Petrova, K. A. Rybnikov, V. M. Tikhomirov, A. N. Shiryaev, “Sergei Sergeevich Demidov (on his 60th birthday)”, Russian Math. Surveys, 58:6 (2003), 1241–1244
42.
D. V. Anosov, V. I. Arnol'd, V. M. Buchstaber, V. A. Golubeva, A. A. Gonchar, A. B. Zhizhchenko, Yu. S. Ilyashenko, V. V. Kozlov, S. P. Konovalov, L. D. Kudryavtsev, V. P. Leksin, O. B. Lupanov, A. A. Mal'tsev, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, M. M. Postnikov, V. A. Sadovnichii, A. G. Sergeev, L. D. Faddeev, A. V. Chernavskii, “Andrei Andreevich Bolibrukh (obituary)”, Russian Math. Surveys, 58:6 (2003), 1185–1189
2002
43.
Anosov D. V., “A note on the Kepler problem”, J. Dynam. Control Systems, 8:3 (2002), 413–442
D. V. Anosov, E. V. Zhuzhoma, “Asymptotic Behavior of Covering Curves on the Universal Coverings of Surfaces”, Proc. Steklov Inst. Math., 238 (2002), 1–46
45.
D. V. Anosov, “Flows on Closed Surfaces and Related Geometrical Questions”, Proc. Steklov Inst. Math., 236 (2002), 12–18
46.
D. V. Anosov, A. A. Bolibrukh, “To the 80th Anniversary of E. F. Mishchenko”, Proc. Steklov Inst. Math., 236 (2002), 1–2
47.
D. V. Anosov, M. I. Monastyrskii, M. A. Solovev, “Tak malo nas ostalos …”, Istoriko-matematicheskie issledovaniya. Vtoraya ser., 7(42), 2002, 166–189
48.
D. V. Anosov, V. L. Ginzburg, A. B. Zhizhchenko, M. I. Monastyrskii, S. P. Novikov, Ya. G. Sinai, M. A. Soloviev, “Naum Natanovich Meiman (obituary)”, Russian Math. Surveys, 57:2 (2002), 399–405
2001
49.
D. V. Anosov, “Puankare i problemy Oskara II”, Istoriko-matematicheskie issledovaniya. Vtoraya ser., 6(41), 2001, 57–72
50.
D. V. Anosov, Mat. Pros., 5, MCCME, Moscow, 2001, 158–163
51.
D. V. Anosov, A. A. Bolibrukh, A. M. Vershik, A. A. Gonchar, R. I. Grigorchuk, V. V. Kozlov, V. P. Maslov, E. F. Mishchenko, Ya. G. Sinai, V. M. Tikhomirov, P. L. Ul'yanov, A. T. Fomenko, “Anatolii Mikhailovich Stepin (on his 60th birthday)”, Russian Math. Surveys, 56:1 (2001), 201–205
2000
52.
D. V. Anosov, “K istorii vyvoda zakonov Keplera iz zakonov mekhaniki”, Istoriko-matematicheskie issledovaniya. 2-ya seriya, 5(40), 2000, 9–25
53.
D. V. Anosov, A. A. Bolibrukh, V. P. Maslov, Yu. S. Osipov, “Anatolii Dmitrievich Myshkis (on his 80th birthday)”, Russian Math. Surveys, 55:3 (2000), 597–599
1999
54.
D. V. Anosov, “On the Lifts to the Plane of Semileaves of Foliations on the Torus with a Finite Number of Singularities”, Proc. Steklov Inst. Math., 224 (1999), 20–45
55.
D. V. Anosov, V. S. Vladimirov, I. V.. Gaǐshun, et al., “Vladimir Mikhaĭlovich Millionshchikov (on the occasion of his sixtieth birthday)”, Differential Equations, 35:10 (1999), 1311–1327 (2000)
56.
D. V. Anosov, “On improvement of school teaching. The talk at Moscow Mathematical Society on October 5th, 1999”, Fundam. Prikl. Mat., 5:4 (1999), 1199–1208
1998
57.
D. V. Anosov, P. M. Akhmet'ev, A. A. Bolibrukh, V. M. Buchstaber, V. A. Kolosov, A. A. Mal'tsev, S. P. Novikov, V. A. Smirnov, A. V. Chernavskii, “Mikhail Mikhailovich Postnikov (on his 70th birthday)”, Russian Math. Surveys, 53:2 (1998), 431–433
1997
58.
Anosov D. V., Aranson S. Kh., Arnold V. I., Bronshtein I. U., Grines V. Z., Il'yashenko Yu. S., Ordinary differential equations and smooth dynamical systems, Translated from the 1985 Russian original; Third printing of the 1988 translation Dynamical systems. I, Springer-Verlag, Berlin, 1997 , vi+233 pp.
59.
D. V. Anosov, A. A. Bolibrukh, V. A. Vassiliev, A. M. Vershik, A. A. Gonchar, M. L. Gromov, S. M. Gusein-Zade, V. M. Zakalyukin, Yu. S. Ilyashenko, V. V. Kozlov, M. L. Kontsevich, Yu. I. Manin, A. I. Neishtadt, S. P. Novikov, Yu. S. Osipov, M. B. Sevryuk, Ya. G. Sinai, A. N. Tyurin, L. D. Faddeev, B. A. Khesin, A. G. Khovanskii, “Vladimir Igorevich Arnol'd (on his 60th birthday)”, Russian Math. Surveys, 52:5 (1997), 1117–1139
1996
60.
Anosov D. V., “Some examples of singular perturbations”, J. Dynam. Control Systems, 2:2 (1996), 289–298
D. V. Anosov, Lektsii po kursu «Dinamicheskie sistemy», Nezavisimyi Moskovskii universitet, M., 1995
65.
D. V. Anosov, “Flows on closed surfaces and behavior of trajectories lifted to the universal covering plane”, J. Dynam. Control Systems, 1:1 (1995), 125–138
D. V. Anosov, “On the behaviour in the Euclidean or Lobachevsky plane of trajectories that cover trajectories of flows on closed surfaces. III”, Izv. Math., 59:2 (1995), 287–320
1994
67.
D. V. Anosov, A. A. Bolibruch, The Riemann-Hilbert problem, Aspects of Mathematics, E22, Friedr. Vieweg & Sohn, Braunschweig, 1994 , x+190 pp.
D. V. Anosov, S. Kh. Aranson, V. Z. Grines, R. V. Plykin, E. A. Sataev, A. V. Safonov, V. V. Solodov, A. N. Starkov, A. M. Stepin, S. V. Shlyachkov, “Dynamical systems with hyperbolic behavior”, Dynamical systems – 9, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 66, VINITI, Moscow, 1991, 5–242 , 248 pp.
1990
72.
D. V. Anosov, Hilbert's 21-st problem (according to Bolibruch), IMA preprint series. № 660, Inst. for Math. and its Appl. Univ. of Minnesota, Minneapolis, 1990 http://www.ima.umn.edu/preprints/June90Series/660.pdf
73.
D. V. Anosov, “On infinite curves on the Klein bottle”, Math. USSR-Sb., 66:1 (1990), 41–58
1992
74.
D. V. Anosov, “How curves on the universal covering plane that cover nonselfintersecting curves on a closed surface can go to infinity”, Proc. Steklov Inst. Math., 191 (1992), 35–45
1989
75.
D. V. Anosov, “On the behavior in the Euclidean or Lobachevsky plane of trajectories that cover trajectories of flows on closed surfaces. II”, Math. USSR-Izv., 32:3 (1989), 449–474
1990
76.
D. V. Anosov, “On infinite curves on a torus and on closed surfaces of negative Euler characteristic”, Proc. Steklov Inst. Math., 185 (1990), 33–58
77.
D. V. Anosov, “The work of L. S. Pontryagin on function theory and functional analysis”, Proc. Steklov Inst. Math., 182 (1990), 267–271
1988
78.
Anosov D. V., Bronshteĭn I. U., Aranson S. Kh., Grines V. Z., “Smooth dynamical systems [Current problems in mathematics. Fundamental directions, Vol. 1, 151–242, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1985; MR0823490 (87e:58060)]”, Translated from the Russian by E. R. Dawson and D. O'Shea, Dynamical systems, I, Encyclopaedia Math. Sci., 1, Springer, Berlin, 1988, 149–233
79.
D. V. Anosov, “On the behavior in the Euclidean or Lobachevsky plane of trajectories that cover trajectories of flows on closed surfaces. I”, Math. USSR-Izv., 30:1 (1988), 15–38
1986
80.
D. V. Anosov, Primechaniya i posleslovie redaktora knigi: Zh. Palis, V. DiMelu, Geometricheskaya teoriya dinamicheskikh sistem, Mir, M., 1986, 259–277; 278–287
81.
D. V. Anosov, “On geodesic flows satisfying condition (U)”, Proc. Steklov Inst. Math., 167 (1986), 1–22
1985
82.
D. V. Anosov, I. U. Bronshtein, “Smooth dynamical systems. Chapter 3”, Dynamical systems – 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1, VINITI, Moscow, 1985, 204–229
83.
D. V. Anosov, “Smooth dynamical systems. Chapter 2”, Dynamical systems – 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1, VINITI, Moscow, 1985, 178–204
84.
D. V. Anosov, “Smooth dynamical systems. Chapter 1”, Dynamical systems – 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1, VINITI, Moscow, 1985, 156–178
85.
D. V. Anosov, “Smooth dynamical systems: Preface”, Dynamical systems – 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1, VINITI, Moscow, 1985, 151–155
86.
D. V. Anosov, “The Nielsen numbers of maps of nil-manifolds”, Russian Math. Surveys, 40:4 (1985), 149–150
1986
87.
D. V. Anosov, “Structurally stable systems”, Proc. Steklov Inst. Math., 169 (1986), 61–95
88.
D. V. Anosov, R. V. Gamkrelidze, E. F. Mishchenko, M. M. Postnikov, “The mathematical work of L. S. Pontryagin”, Proc. Steklov Inst. Math., 166 (1986), 1–15
1982
89.
D. V. Anosov, Predislovie i primechaniya redaktora knigi: V. Klingenberg, Lektsii o zamknutykh geodezicheskikh, Mir, M., 1982, 5–20; 350–396
1983
90.
D. V. Anosov, “On generic properties of closed geodesics”, Math. USSR-Izv., 21:1 (1983), 1–29
1981
91.
D. V. Anosov, “Zamknutye geodezicheskie”, Kachestvennye metody issledovaniya nelineinykh differentsialnykh uravnenii i nelineinykh kolebanii (Uzhgorod, 1980), In-t matematiki AN USSR, Kiev, 1981, 5–24
1982
92.
D. V. Anosov, “Some homology classes in the space of closed curves in the $n$-dimensional sphere”, Math. USSR-Izv., 18:3 (1982), 403–422
1981
93.
D. V. Anosov, V. I. Arnol'd, M. I. Zelikin, A. N. Kolmogorov, O. V. Lokutsievskii, Yu. S. Osipov, Ya. G. Sinai, V. M. Tikhomirov, M. V. Jakobson, “Vladimir Mikhailovich Alekseev (obituary)”, Russian Math. Surveys, 36:4 (1981), 201–206
94.
D. V. Anosov, “Certain homotopies in the space of closed curves”, Math. USSR-Izv., 17:3 (1981), 423–453
1979
95.
D. V. Anosov, Primechaniya redaktora knigi: I. Tamura, Topologiya sloenii, Mir, M., 1979, 267–303
1977
96.
D. V. Anosov, “Vstupitelnaya statya”, Gladkie dinamicheskie sistemy, Mir, M., 1977, 7–31
97.
D. V. Anosov, “Zamechaniya o terminologii i oboznacheniyakh”, Gladkie dinamicheskie sistemy, Mir, M., 1977, 254–256
1975
98.
D. V. Anosov, “Geodezicheskie v finslerovoi geometrii”, Proceedings of the International Congress of Mathematicians, Vol. 2 (Vancouver, B.C., 1974), Canad. Math. Congress, Montreal, Que., 1975, 293–297
1974
99.
D. V. Anosov, “Existence of smooth ergodic flows on smooth manifolds”, Math. USSR-Izv., 8:3 (1974), 525–552
1973
100.
D. V. Anosov, “On an additive functional homology equation connected with an ergodic rotation of the circle”, Math. USSR-Izv., 7:6 (1973), 1257–1271
1970
101.
D. V. Anosov, “Ob odnom klasse invariantnykh mnozhestv gladkikh dinamicheskikh sistem”, Trudy V Mezhdunarodnoi konferentsii po nelineinym kolebaniyam, t. 2, In-t matematiki AN USSR, Kiev, 1970, 39–44
102.
D. V. Anosov, A. V. Katok, “Novye primery v gladkoi ergodicheskoi teorii. Ergodicheskie diffeomorfizmy”, Trudy MMO, 23, 1970, 3–36
D. V. Anosov, Ya. G. Sinai, “Some smooth ergodic systems”, Russian Math. Surveys, 22:5 (1967), 103–167
1966
107.
D. V. Anosov, V. L. Golo, “Vector bundles and the $K$-functor”, Russian Math. Surveys, 21:5 (1966), 173–203
1964
108.
D. V. Anosov, “Ob odnom integralnom uravnenii, vstrechayuschemsya v statistike”, Vestn. LGU. Ser. matem., mekh. i astr., 19:2 (1964), 151–154
1963
109.
D. V. Anosov, “Ergodicheskie svoistva geodezicheskikh potokov na zamknutykh rimanovykh mnogoobraziyakh otritsatelnoi krivizny”, Dokl. AN SSSR, 151:6 (1963), 1250–1252
D. V. Anosov, “Averaging in systems of ordinary differential equations with rapidly oscillating solutions”, Izv. Akad. Nauk SSSR Ser. Mat., 24:5 (1960), 721–742
112.
D. V. Anosov, “Limit cycles of systems of differential equations with small parameters in the highest derivatives”, Mat. Sb. (N.S.), 50(92):3 (1960), 299–334
1959
113.
D. V. Anosov, “Ob ustoichivosti polozhenii ravnovesiya releinykh sistem”, Avtomatika i telemekhanika, 20:2 (1959), 135–149
D. V. Anosov, “Mnogomernyi analog odnoi teoremy Adamara”, Nauchnye doklady vysshei shkoly, fiz.-matem. nauki, 1, 1959, 3–12
Presentations in Math-Net.Ru
1.
Welcome speech D. V. Anosov Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin September 24, 2013 10:05
2.
О понятии асимптотического решения D. V. Anosov International conference "Contemporary Problems of Mathematics, Mechanics, and Mathematical Physics" dedicated to the 150th anniversary of V. A. Steklov May 14, 2013 10:00
3.
Greeting D. V. Anosov Conference "Differential Equations and Optimal Control", dedicated to the 90th anniversary of E. F. Mishchenko April 16, 2012 10:00
4.
Meeting with the hero of the day D. V. Anosov Conference "Flows on surfaces, symbolic dynamics and dynamics in moduli spaces" dedicated to the 75th birthday of D. V. Anosov December 7, 2011 14:30
Opening ceremony D. V. Anosov, A. G. Sergeev, A. L. Skubachevskii Sixth International Conference on Differential and Functional Differential Equations DFDE-2011 August 15, 2011 11:00
On mathematical creative work of L. S. Pontryagin D. V. Anosov International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin June 17, 2008 14:00
11.
Sharkovsky ordering D. V. Anosov Summer School "Contemporary Mathematics", 2007 July 20, 2007 17:20
12.
Вступительное слово D. V. Anosov Seminar by Algebra Department October 25, 2005
D. V. Anosov, Differential equations: sometimes to solve, sometimes to draw, 2010, 200 с. http://mi.mathnet.ru/book2026
D. V. Anosov, E. V. Zhuzhoma, Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings, Trudy Mat. Inst. Steklova, 249, ed. E. F. Mishchenko, 2005, 240 с. http://mi.mathnet.ru/book262
Dynamical systems and related problems of geometry, Collected papers. Dedicated to the memory of academician Andrei Andreevich Bolibrukh, Trudy Mat. Inst. Steklova, 244, ed. D. V. Anosov, E. F. Mishchenko, 2004, 319 с. http://mi.mathnet.ru/book257
D. V. Anosov, On Spectral Multiplicities in Ergodic Theory, Sovrem. Probl. Mat., 3, 2003, 86 с. http://mi.mathnet.ru/book474
D. V. Anosov, Geodesic flows on closed Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklov., 90, ed. I. G. Petrovskii, 1967, 211 с. http://mi.mathnet.ru/book1219
2015
Contact us: