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Zakalyukin Vladimir Mikhailovich
(1951–2011)

Statistics Math-Net.Ru
Total publications: 33
Scientific articles: 29
Presentations: 1

Number of views:
This page:3831
Abstract pages:10081
Full texts:3303
References:840
Zakalyukin Vladimir Mikhailovich
Professor
Doctor of physico-mathematical sciences (1999)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 9.07.1951
Website: http://www.kevinhouston.net/blog/2012/01/vladimir-zakalyukin
Keywords: Lagrangian and Legendrian singularities, the versality theorem, caustics, normal forms, differential equations, robot motion planning.
UDC: 514.16, 515.1, 151.17, 517.9, 517.977.1, 517.988, 514, 517.922, 519.71, 517.938

Subject:

Local and global problems of singularity theory, differential equations, optimal control theory, Lagrangian varieties, caustics.

   
Main publications:
  1. V. M. Zakalyukin, “Lagrangian and Legendrian singularities”, Funct. Anal. Appl., 10:1 (1976), 23–31  mathnet  crossref  mathscinet  zmath
  2. V. M. Zakalyukin, “Reconstructions of fronts and caustics depending on a parameter, and versality of mappings”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 22, 1983, 56–93  mathnet  crossref  mathscinet  zmath
  3. V. M. Zakalyukin, “Singularities of Circle-Surface Contacts and Flags”, Funct. Anal. Appl., 31:2 (1997), 131–133  mathnet  mathscinet  zmath
  4. V. V. Goryunov, V. M. Zakalyukin, “Simple symmetric matrix singularities and the subgroups of Weyl groups $A_\mu$, $D_\mu$, $E_\mu$”, Mosc. Math. J., 3:2 (2003), 507–530  mathnet  mathscinet  zmath
  5. J.-P. Gauthier, V. M. Zakalyukin, “On the motion planning problem, complexity, entropy, and nonholonomic interpolation”, J. Dyn. Control Syst., 12:3 (2006), 371–404  mathscinet  zmath

http://www.mathnet.ru/eng/person18579
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/201109

Publications in Math-Net.Ru
1. Controllability of non-linear systems: generic singularities and their stability
A. A. Davydov, V. M. Zakalyukin
Uspekhi Mat. Nauk, 67:2(404) (2012),  65–92
2. Singularities of the affine chord envelope for two surfaces in four-space
Graham M. Reeve, Vladimir M. Zakalyukin
Tr. Mat. Inst. Steklova, 277 (2012),  230–242
3. Quasi-projections of surfaces with boundaries
F. Alharbi, V. M. Zakalyukin
CMFD, 42 (2011),  15–22
4. Quasi corner singularities
F. Alharbi, V. Zakalyukin
Tr. Mat. Inst. Steklova, 270 (2010),  7–20
5. Convex hulls of surfaces with boundaries and corners and singularities of transitivity zone in $\mathbb R^3$
V. M. Zakalyukin, A. N. Kurbatskii
Tr. Mat. Inst. Steklova, 268 (2010),  284–303
6. Bifurcations of Affine Equidistants
P. J. Giblin, J. P. Warder, V. M. Zakalyukin
Tr. Mat. Inst. Steklova, 267 (2009),  65–81
7. Envelope Singularities of Families of Planes in Control Theory
V. M. Zakalyukin, A. N. Kurbatskii
Tr. Mat. Inst. Steklova, 262 (2008),  73–86
8. Legendre Singularities in Systems of Implicit ODEs and Slow–Fast Dynamical Systems
V. M. Zakalyukin, A. O. Remizov
Tr. Mat. Inst. Steklova, 261 (2008),  140–153
9. Quasi-projections
V. M. Zakalyukin
Tr. Mat. Inst. Steklova, 259 (2007),  282–290
10. Entropy Estimations for Motion Planning Problems in Robotics
J.-P. Gauthier, V. M. Zakalyukin
Tr. Mat. Inst. Steklova, 256 (2007),  70–88
11. Robot Motion Planning: A Wild Case
J.-P. Gauthier, V. M. Zakalyukin
Tr. Mat. Inst. Steklova, 250 (2005),  64–78
12. On Stability of Projections of Lagrangian Varieties
V. V. Goryunov, V. M. Zakalyukin
Funktsional. Anal. i Prilozhen., 38:4 (2004),  13–21
13. Simple Coisotropic Caustics
V. M. Zakalyukin
CMFD, 2 (2003),  45–56
14. Simple symmetric matrix singularities and the subgroups of Weyl groups $A_\mu$, $D_\mu$, $E_\mu$
V. V. Goryunov, V. M. Zakalyukin
Mosc. Math. J., 3:2 (2003),  507–530
15. Singularities of Families of Chords
P. J. Giblin, V. M. Zakalyukin
Funktsional. Anal. i Prilozhen., 36:3 (2002),  63–68
16. Singularities of Contact with $3$-Flags
V. M. Zakalyukin
Funktsional. Anal. i Prilozhen., 33:3 (1999),  78–81
17. The coincidence of generic singularities of solutions of extremal problems with constraints
A. A. Davydov, V. M. Zakalyukin
Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 64 (1999),  118–143
18. Lagrange Singularities under Symplectic Reduction
V. M. Zakalyukin, O. M. Myasnichenko
Funktsional. Anal. i Prilozhen., 32:1 (1998),  1–11
19. Maxwell Stratum of Lagrangian Collapse
V. M. Zakalyukin
Tr. Mat. Inst. Steklova, 221 (1998),  197–212
20. Point singularities of a conditional minimum on a three-dimensional manifold
A. A. Davydov, V. M. Zakalyukin
Tr. Mat. Inst. Steklova, 220 (1998),  113–129
21. Singularities of Circle-Surface Contacts and Flags
V. M. Zakalyukin
Funktsional. Anal. i Prilozhen., 31:2 (1997),  73–76
22. Envelopes of families of wave fronts and control theory
V. M. Zakalyukin
Trudy Mat. Inst. Steklov., 209 (1995),  133–142
23. On stable singular Lagrangian varieties
V. M. Zakalyukin, R. M. Roberts
Funktsional. Anal. i Prilozhen., 26:3 (1992),  28–34
24. Reconstructions of fronts and caustics depending on a parameter, and versality of mappings
V. M. Zakalyukin
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 22 (1983),  56–93
25. Singularities of convex hulls of smooth manifolds
V. M. Zakalyukin
Funktsional. Anal. i Prilozhen., 11:3 (1977),  76–77
26. Reconstructions of wave fronts depending on one parameter
V. M. Zakalyukin
Funktsional. Anal. i Prilozhen., 10:2 (1976),  69–70
27. Lagrangian and Legendrian singularities
V. M. Zakalyukin
Funktsional. Anal. i Prilozhen., 10:1 (1976),  26–36
28. The versality theorem
V. M. Zakalyukin
Funktsional. Anal. i Prilozhen., 7:2 (1973),  28–31
29. Algebraic calculation of the index of a singular point of a vector field
V. M. Zakalyukin
Funktsional. Anal. i Prilozhen., 6:1 (1972),  77–78

30. Vladimir I. Arnold
V. Goryunov, V. Zakalyukin
Mosc. Math. J., 11:3 (2011),  409–411
31. Vladimir Igorevich Arnold
S. M. Gusein-Zade, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Khovanskii, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, V. A. Vassiliev, V. M. Zakalyukin
Mosc. Math. J., 7:3 (2007),  571
32. Vladimir Igorevich Arnold in the Eyes of His Students: On the occasion of his 70th birthday
A. N. Varchenko, V. A. Vassiliev, S. M. Gusein-Zade, A. A. Davydov, V. M. Zakalyukin, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Kushnirenko, S. K. Lando, A. G. Khovanskii
Tr. Mat. Inst. Steklova, 259 (2007),  5–9
33. Vladimir Igorevich Arnol'd (on his 60th birthday)
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
Uspekhi Mat. Nauk, 52:5(317) (1997),  235–255

Presentations in Math-Net.Ru
1. Legendre singularities and implicit ODE
V. M. Zakalyukin
International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin
June 22, 2008 09:00   

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