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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:6446
Abstract pages:17459
Full texts:6883
References:1725
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: https://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

https://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 Citations
2012
1. A. A. Davydov, V. M. Zakalyukin, “Controllability of non-linear systems: generic singularities and their stability”, Uspekhi Mat. Nauk, 67:2(404) (2012),  65–92  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 67:2 (2012), 255–280  isi  elib  scopus 4
2. Graham M. Reeve, Vladimir M. Zakalyukin, “Singularities of the affine chord envelope for two surfaces in four-space”, Trudy Mat. Inst. Steklova, 277 (2012),  230–242  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 277 (2012), 221–233  isi  elib  scopus 1
2011
3. F. Alharbi, V. M. Zakalyukin, “Quasi-projections of surfaces with boundaries”, CMFD, 42 (2011),  15–22  mathnet  mathscinet; Journal of Mathematical Sciences, 199:5 (2014), 473–480  scopus 1
2010
4. F. Alharbi, V. Zakalyukin, “Quasi corner singularities”, Trudy Mat. Inst. Steklova, 270 (2010),  7–20  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 270 (2010), 1–14  isi  elib  scopus 2
5. V. M. Zakalyukin, A. N. Kurbatskii, “Convex hulls of surfaces with boundaries and corners and singularities of transitivity zone in $\mathbb R^3$”, Trudy Mat. Inst. Steklova, 268 (2010),  284–303  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 268 (2010), 274–293  isi  elib  scopus 2
2009
6. P. J. Giblin, J. P. Warder, V. M. Zakalyukin, “Bifurcations of Affine Equidistants”, Trudy Mat. Inst. Steklova, 267 (2009),  65–81  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 267 (2009), 59–75  isi  elib  scopus 12
2008
7. V. M. Zakalyukin, A. N. Kurbatskii, “Envelope Singularities of Families of Planes in Control Theory”, Trudy Mat. Inst. Steklova, 262 (2008),  73–86  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 262 (2008), 66–79  isi  elib  scopus 9
8. V. M. Zakalyukin, A. O. Remizov, “Legendre Singularities in Systems of Implicit ODEs and Slow–Fast Dynamical Systems”, Trudy Mat. Inst. Steklova, 261 (2008),  140–153  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 261 (2008), 136–148  isi  elib  scopus 2
2007
9. V. M. Zakalyukin, “Quasi-projections”, Trudy Mat. Inst. Steklova, 259 (2007),  282–290  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 259 (2007), 273–280  elib  scopus 4
10. J.-P. Gauthier, V. M. Zakalyukin, “Entropy Estimations for Motion Planning Problems in Robotics”, Trudy Mat. Inst. Steklova, 256 (2007),  70–88  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 256 (2007), 62–79  elib  scopus 7
2005
11. J.-P. Gauthier, V. M. Zakalyukin, “Robot Motion Planning: A Wild Case”, Trudy Mat. Inst. Steklova, 250 (2005),  64–78  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 250 (2005), 56–69 6
2004
12. V. V. Goryunov, V. M. Zakalyukin, “On Stability of Projections of Lagrangian Varieties”, Funktsional. Anal. i Prilozhen., 38:4 (2004),  13–21  mathnet  mathscinet  zmath; Funct. Anal. Appl., 38:4 (2004), 249–255  isi  scopus 6
2003
13. V. M. Zakalyukin, “Simple Coisotropic Caustics”, CMFD, 2 (2003),  45–56  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 124:5 (2004), 5310–5320
14. 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  isi 15
2002
15. P. J. Giblin, V. M. Zakalyukin, “Singularities of Families of Chords”, Funktsional. Anal. i Prilozhen., 36:3 (2002),  63–68  mathnet  mathscinet  zmath; Funct. Anal. Appl., 36:3 (2002), 220–224  isi  scopus 5
1999
16. V. M. Zakalyukin, “Singularities of Contact with $3$-Flags”, Funktsional. Anal. i Prilozhen., 33:3 (1999),  78–81  mathnet  mathscinet  zmath; Funct. Anal. Appl., 33:3 (1999), 225–227  isi 3
17. A. A. Davydov, V. M. Zakalyukin, “The coincidence of generic singularities of solutions of extremal problems with constraints”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 64 (1999),  118–143  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 103:6 (2001), 709–724 1
1998
18. V. M. Zakalyukin, O. M. Myasnichenko, “Lagrange Singularities under Symplectic Reduction”, Funktsional. Anal. i Prilozhen., 32:1 (1998),  1–11  mathnet  mathscinet  zmath; Funct. Anal. Appl., 32:1 (1998), 1–9  isi 8
19. V. M. Zakalyukin, “Maxwell Stratum of Lagrangian Collapse”, Trudy Mat. Inst. Steklova, 221 (1998),  197–212  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 221 (1998), 187–201 1
20. A. A. Davydov, V. M. Zakalyukin, “Point singularities of a conditional minimum on a three-dimensional manifold”, Trudy Mat. Inst. Steklova, 220 (1998),  113–129  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 220 (1998), 109–125 6
1997
21. V. M. Zakalyukin, “Singularities of Circle-Surface Contacts and Flags”, Funktsional. Anal. i Prilozhen., 31:2 (1997),  73–76  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:2 (1997), 131–133  isi 4
1995
22. V. M. Zakalyukin, “Envelopes of families of wave fronts and control theory”, Trudy Mat. Inst. Steklov., 209 (1995),  133–142  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 209 (1995), 114–123 10
1992
23. V. M. Zakalyukin, R. M. Roberts, “On stable singular Lagrangian varieties”, Funktsional. Anal. i Prilozhen., 26:3 (1992),  28–34  mathnet  mathscinet  zmath; Funct. Anal. Appl., 26:3 (1992), 174–178  isi 7
1983
24. 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  mathscinet  zmath; J. Soviet Math., 27:3 (1984), 2713–2735 42
1977
25. V. M. Zakalyukin, “Singularities of convex hulls of smooth manifolds”, Funktsional. Anal. i Prilozhen., 11:3 (1977),  76–77  mathnet  mathscinet  zmath; Funct. Anal. Appl., 11:3 (1977), 225–227 20
1976
26. V. M. Zakalyukin, “Reconstructions of wave fronts depending on one parameter”, Funktsional. Anal. i Prilozhen., 10:2 (1976),  69–70  mathnet  mathscinet  zmath; Funct. Anal. Appl., 10:2 (1976), 139–140 22
27. V. M. Zakalyukin, “Lagrangian and Legendrian singularities”, Funktsional. Anal. i Prilozhen., 10:1 (1976),  26–36  mathnet  mathscinet  zmath; Funct. Anal. Appl., 10:1 (1976), 23–31 61
1973
28. V. M. Zakalyukin, “The versality theorem”, Funktsional. Anal. i Prilozhen., 7:2 (1973),  28–31  mathnet  mathscinet  zmath; Funct. Anal. Appl., 7:2 (1973), 110–112 5
1972
29. V. M. Zakalyukin, “Algebraic calculation of the index of a singular point of a vector field”, Funktsional. Anal. i Prilozhen., 6:1 (1972),  77–78  mathnet  mathscinet  zmath; Funct. Anal. Appl., 6:1 (1972), 69–70 5
2011
30. V. Goryunov, V. Zakalyukin, “Vladimir I. Arnold”, Mosc. Math. J., 11:3 (2011),  409–411  mathnet  mathscinet
2007
31. 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, “Vladimir Igorevich Arnold”, Mosc. Math. J., 7:3 (2007),  571  mathnet  mathscinet
32. 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, “Vladimir Igorevich Arnold in the Eyes of His Students: On the occasion of his 70th birthday”, Trudy Mat. Inst. Steklova, 259 (2007),  5–9  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 259 (2007), 1–5  elib  scopus
1997
33. 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)”, Uspekhi Mat. Nauk, 52:5(317) (1997),  235–255  mathnet  mathscinet; Russian Math. Surveys, 52:5 (1997), 1117–1139  isi 2

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   

Organisations
 
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