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Publications in Math-Net.Ru |
Citations |
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2014 |
| 1. |
Valentin S. Afraimovich, Sergey V. Gonchenko, Lev M. Lerman, Andrey L. Shilnikov, Dmitry V. Turaev, “Scientific Heritage of L.P. Shilnikov”, Regul. Chaotic Dyn., 19:4 (2014), 435–460     |
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2012 |
| 2. |
V. I. Nekorkin, A. S. Dmitrichev, D. V. Kasatkin, V. S. Afraimovich, “Reducing the sequential dynamics of excitatory neural networks to cellular automata”, Pis'ma v Zh. Èksper. Teoret. Fiz., 95:9 (2012), 557–561  ; JETP Letters, 95:9 (2012), 492–496  |
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1991 |
| 3. |
V. S. Afraimovich, V. I. Nekorkin, “Stable states in chain models of unlimited nonequilibrium media”, Matem. Mod., 3:12 (1991), 65–77 |
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1990 |
| 4. |
V. S. Afraimovich, I. L. Zheleznyak, “On the existence of infinite-dimensional tori in dissipative systems”, Uspekhi Mat. Nauk, 45:2(272) (1990), 203–204 ; Russian Math. Surveys, 45:2 (1990), 205–206 |
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1988 |
| 5. |
V. S. Afraimovich, L. P. Vozovoi, “A mechanism for generating a two-dimensional torus during the loss
of stability in the equilibrium state”, Dokl. Akad. Nauk SSSR, 302:4 (1988), 823–826 ; Dokl. Math., 33:10 (1988), 720–722 |
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1986 |
| 6. |
V. I. Arnol'd, V. S. Afraimovich, Yu. S. Ilyashenko, L. P. Shilnikov, “Bifurcation theory”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 5 (1986), 5–218 |
77
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1985 |
| 7. |
V. S. Afraimovich, M. I. Rabinovich, V. I. Sbitnev, “Attractor dimensions in the coupled generator chain”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 11:6 (1985), 338–342 |
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1984 |
| 8. |
V. S. Afraimovich, Ya. B. Pesin, “An estimate of the Hausdorff dimension of a basic set in a neighbourhood of a homoclinic trajectory”, Uspekhi Mat. Nauk, 39:2(236) (1984), 135–136 ; Russian Math. Surveys, 39:2 (1984), 137–138 |
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1982 |
| 9. |
V. S. Afraimovich, L. P. Shilnikov, “On a bifurcation of codimension $1$ leading to the appearance of a countable set of tori”, Dokl. Akad. Nauk SSSR, 262:4 (1982), 777–780 |
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| 10. |
V. S. Afraĭmovich, V. V. Bykov, L. P. Shilnikov, “On attracting structurally unstable limit sets of Lorenz attractor type”, Tr. Mosk. Mat. Obs., 44 (1982), 150–212 |
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1977 |
| 11. |
V. S. Afraimovich, V. V. Bykov, L. P. Shilnikov, “On the origin and structure of the Lorenz attractor”, Dokl. Akad. Nauk SSSR, 234:2 (1977), 336–339 |
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1974 |
| 12. |
V. S. Afraimovich, L. P. Shilnikov, “On some global bifurcations connected with the disappearance of a fixed point of saddle-node type”, Dokl. Akad. Nauk SSSR, 219:6 (1974), 1281–1284 |
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| 13. |
V. S. Afraimovich, L. P. Shilnikov, “On small periodic perturbations of autonomous systems”, Dokl. Akad. Nauk SSSR, 214:4 (1974), 739–742 |
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| 14. |
V. S. Afraimovich, L. P. Shilnikov, “On attainable transitions from Morse–Smale systems to systems with many periodic motions”, Izv. Akad. Nauk SSSR Ser. Mat., 38:6 (1974), 1248–1288 ; Math. USSR-Izv., 8:6 (1974), 1235–1270 |
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1973 |
| 15. |
V. S. Afraĭmovič, L. P. Šilnikov, “The singular sets of Morse–Smale systems”, Tr. Mosk. Mat. Obs., 28 (1973), 181–214 |
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1972 |
| 16. |
V. S. Afraimovich, L. P. Shilnikov, “Singular trajectories of dynamical systems”, Uspekhi Mat. Nauk, 27:3(165) (1972), 189–190 |
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2012 |
| 17. |
V. S. Afraimovich, L. A. Belyakov, V. V. Bykov, S. V. Gonchenko, L. M. Lerman, V. I. Lukyanov, M. I. Malkin, A. D. Morozov, D. V. Turaev, “Leonid Pavlovich Shilnikov (17.12.1934–26.12.2011)”, Nelin. Dinam., 8:1 (2012), 183–186 |
| 18. |
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)”, Uspekhi Mat. Nauk, 67:3(405) (2012), 175–178 ; Russian Math. Surveys, 67:3 (2012), 573–577 |
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2010 |
| 19. |
V. S. Afraimovich, L. M. Lerman, S. V. Gonchenko, “Leonid Pavlovich Shilnikov (to the 75th anniversary)”, Nelin. Dinam., 6:1 (2010), 5–22 |
| 20. |
V. S. Afraimovich, L. A. Bunimovich, S. V. Moreno, “Dynamical networks: continuous time and general discrete time models”, Regul. Chaotic Dyn., 15:2-3 (2010), 127–145 |
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