Afraimovich Valentin Sendorovich

Publications in Math-Net.Ru

1. Scientific Heritage of L.P. Shilnikov
   
   Regul. Chaotic Dyn., 19:4 (2014),  435–460
2. Reducing the sequential dynamics of excitatory neural networks to cellular automata
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 95:9 (2012),  557–561
3. Stable states in chain models of unlimited nonequilibrium media
   
   Matem. Mod., 3:12 (1991),  65–77
4. On the existence of infinite-dimensional tori in dissipative systems
   
   Uspekhi Mat. Nauk, 45:2(272) (1990),  203–204
5. 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
6. Bifurcation theory
   
   Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 5 (1986),  5–218
7. Attractor dimensions in the coupled generator chain
   
   Pisma v Zhurnal Tekhnicheskoi Fiziki, 11:6 (1985),  338–342
8. 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
9. 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
10. On attracting structurally unstable limit sets of Lorenz attractor type
    
    Tr. Mosk. Mat. Obs., 44 (1982),  150–212
11. On the origin and structure of the Lorenz attractor
    
    Dokl. Akad. Nauk SSSR, 234:2 (1977),  336–339
12. 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
13. On small periodic perturbations of autonomous systems
    
    Dokl. Akad. Nauk SSSR, 214:4 (1974),  739–742
14. On attainable transitions from Morse–Smale systems to systems with many periodic motions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 38:6 (1974),  1248–1288
15. The singular sets of Morse–Smale systems
    
    Tr. Mosk. Mat. Obs., 28 (1973),  181–214
16. Singular trajectories of dynamical systems
    
    Uspekhi Mat. Nauk, 27:3(165) (1972),  189–190


17. Leonid Pavlovich Shilnikov (17.12.1934–26.12.2011)
    
    Nelin. Dinam., 8:1 (2012),  183–186
18. Leonid Pavlovich Shil'nikov (obituary)
    
    Uspekhi Mat. Nauk, 67:3(405) (2012),  175–178
19. Leonid Pavlovich Shilnikov (to the 75th anniversary)
    
    Nelin. Dinam., 6:1 (2010),  5–22
20. Dynamical networks: continuous time and general discrete time models
    
    Regul. Chaotic Dyn., 15:2-3 (2010),  127–145