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Zakalyukin, Vladimir M.

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Author ID: zakalyukin.vladimir-m Recent zbMATH articles by "Zakalyukin, Vladimir M."
Published as: Zakaljukin, V. M.; Zakalyukin, V M.; Zakalyukin, V.; Zakalyukin, V. M.; Zakalyukin, Vladimir; Zakalyukin, Vladimir M.
Homepage: http://www.kevinhouston.net/blog/2012/01/vladimir-zakalyukin/
External Links: MGP · Math-Net.Ru · Wikidata
Documents Indexed: 69 Publications since 1972, including 5 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 229 times in 136 Documents Cited by Year
Lagrangian and Legendrian singularities. Zbl 0331.58007
Zakaljukin, V. M.
39
1976
Reconstructions of fronts and caustics depending on a parameter and versality of mappings. Zbl 0554.58011
Zakalyukin, V. M.
38
1984
Singularities of centre symmetry sets. Zbl 1068.57028
Giblin, P. J.; Zakalyukin, V. M.
19
2005
On the motion planning problem, complexity, entropy, and nonholonomic interpolation. Zbl 1121.53025
Gauthier, Jean-Paul; Zakalyukin, Vladimir
12
2006
On the codimension one motion planning problem. Zbl 1079.53049
Gauthier, J.-P.; Zakalyukin, V.
9
2005
Bifurcations of affine equidistants. Zbl 1205.37060
Giblin, P. J.; Warder, J. P.; Zakalyukin, V. M.
8
2009
On the one-step-Bracket-Generating motion planning problem. Zbl 1069.53032
Gauthier, J.-P.; Zakalyukin, V.
8
2005
Recognition of centre symmetry set singularities. Zbl 1148.58016
Giblin, Peter J.; Zakalyukin, Vladimir M.
7
2007
On sub-Riemann caustics and wave fronts for contact distributions in the three-space. Zbl 1040.58017
Agrachev, A. A.; Charlot, G.; Gauthier, J. P. A.; Zakalyukin, V. M.
7
2000
Reconstructions of wave fronts depending on one parameter. Zbl 0345.58008
Zakalyukin, V. M.
7
1976
Singularities of the Minkowski set and affine equidistants for a curve and a surface. Zbl 1253.58016
Reeve, Graham M.; Zakalyukin, Vladimir M.
6
2012
Envelopes of families of wave fronts and control theory. Zbl 0883.93008
Zakalyukin, V. M.
6
1995
Motion planning and fastly oscillating controls. Zbl 1206.53035
Gauthier, Jean-Paul; Jakubczyk, Bronisław; Zakalyukin, Vladimir
5
2010
A simple symmetric matrix singularities and the subgroups of Weyl groups \(A_\mu\), \(D_\mu\), \(E_\mu\). Zbl 1040.58018
Goryunov, V. V.; Zakalyukin, V. M.
5
2003
Singularities of families of chords. Zbl 1049.58041
Giblin, P. J.; Zakalyukin, V. M.
5
2002
Envelope singularities of families of planes in control theory. Zbl 1152.93017
Zakalyukin, V. M.; Kurbatskii, A. N.
4
2008
Quasi-projections. Zbl 1165.58017
Zakalyukin, V. M.
4
2007
Quasi singularities. Zbl 1151.58024
Zakalyukin, Vladimir M.
3
2008
Lagrangian and Legendrian singularities. Zbl 1126.58022
Goryunov, Victor V.; Zakalyukin, V. M.
3
2007
Generating ideals of Lagrangian varieties. Zbl 0731.58025
Zakalyukin, V. M.
3
1990
Singularities of convex hulls of smooth manifolds. Zbl 0421.52008
Zakalyukin, V. M.
3
1978
Umstellungen von Wellenfronten, die von einem Parameter abhängen. Zbl 0329.58008
Zakalyukin, V. M.
3
1976
Quasi corner singularities. Zbl 1225.58017
Alharbi, F.; Zakalyukin, V.
2
2010
Lagrangian and Legendrian singularities. Zbl 1126.58021
Goryunov, V. V.; Zakalyukin, V. M.
2
2007
Robot motion planning: a wild case. Zbl 1138.70316
Gauthier, J. P.; Zakalyukin, V. M.
2
2005
On stability of projections of Lagrangian varieties. Zbl 1088.58514
Goryunov, V. V.; Zakalyukin, V. M.
2
2004
Sectional singularities and geometry of families of planar quadratic forms. Zbl 1018.32026
Bruce, J. W.; Goryunov, V. V.; Zakalyukin, V. M.
2
2002
Classification of relative minima singularities. Zbl 1040.65052
Davydov, Aleksej A.; Zakalyukin, Vladimir M.
2
1999
On stable singular Lagrangian varieties. Zbl 0799.58033
Zakalyukin, V. M.; Roberts, R. M.
2
1992
Propagations from a space curve in three space with indicatrix a surface. Zbl 1292.58026
Reeve, Graham M.; Zakalyukin, Vladimir M.
1
2012
Legendre singularities in systems of implicit ODEs and slow-fast dynamical systems. Zbl 1239.34010
Zakalyukin, V. M.; Remizov, A. O.
1
2008
Geometry and topology of caustics — Caustics ’06. Proceedings of the 3rd Banach Center symposium, Warsaw, Poland, June 19–30, 2006. Zbl 1147.58001
Janeczko, Stanisław (ed.); Siersma, Dirk (ed.); Zakalyukin, Vladimir (ed.)
1
2008
Entropy estimations for motion planning problems in robotics. Zbl 1152.93045
Gauthier, J.-P.; Zakalyukin, V. M.
1
2007
Singularities of caustics in generic translation-invariant control problems. Zbl 1261.58014
Zakalyukin, V. M.
1
2005
Point singularities of the conditional minimum on a three-dimensional manifold. Zbl 0920.58008
Davydov, A. A.; Zakalyukin, V. M.
1
1998
On the geometry of caustics. Zbl 0887.58006
Bruce, J. W.; Zakalyukin, V. M.
1
1997
Symmetric wavefronts, caustic and Coxeter groups. Zbl 0944.58034
Roberts, R. M.; Zakalyukin, V. M.
1
1995
Singularities of isotropic submanifold projections. Zbl 0836.58002
Zakalyukin, Vladimir M.
1
1995
The versality theorem. Zbl 0284.58004
Zakaljukin, V. M.
1
1973
Algebraic calculation of the index of a singular point of a vector field. Zbl 0247.57005
Zakaljukin, V. M.
1
1972
Singularities of the Minkowski set and affine equidistants for a curve and a surface. Zbl 1253.58016
Reeve, Graham M.; Zakalyukin, Vladimir M.
6
2012
Propagations from a space curve in three space with indicatrix a surface. Zbl 1292.58026
Reeve, Graham M.; Zakalyukin, Vladimir M.
1
2012
Motion planning and fastly oscillating controls. Zbl 1206.53035
Gauthier, Jean-Paul; Jakubczyk, Bronisław; Zakalyukin, Vladimir
5
2010
Quasi corner singularities. Zbl 1225.58017
Alharbi, F.; Zakalyukin, V.
2
2010
Bifurcations of affine equidistants. Zbl 1205.37060
Giblin, P. J.; Warder, J. P.; Zakalyukin, V. M.
8
2009
Envelope singularities of families of planes in control theory. Zbl 1152.93017
Zakalyukin, V. M.; Kurbatskii, A. N.
4
2008
Quasi singularities. Zbl 1151.58024
Zakalyukin, Vladimir M.
3
2008
Legendre singularities in systems of implicit ODEs and slow-fast dynamical systems. Zbl 1239.34010
Zakalyukin, V. M.; Remizov, A. O.
1
2008
Geometry and topology of caustics — Caustics ’06. Proceedings of the 3rd Banach Center symposium, Warsaw, Poland, June 19–30, 2006. Zbl 1147.58001
Janeczko, Stanisław (ed.); Siersma, Dirk (ed.); Zakalyukin, Vladimir (ed.)
1
2008
Recognition of centre symmetry set singularities. Zbl 1148.58016
Giblin, Peter J.; Zakalyukin, Vladimir M.
7
2007
Quasi-projections. Zbl 1165.58017
Zakalyukin, V. M.
4
2007
Lagrangian and Legendrian singularities. Zbl 1126.58022
Goryunov, Victor V.; Zakalyukin, V. M.
3
2007
Lagrangian and Legendrian singularities. Zbl 1126.58021
Goryunov, V. V.; Zakalyukin, V. M.
2
2007
Entropy estimations for motion planning problems in robotics. Zbl 1152.93045
Gauthier, J.-P.; Zakalyukin, V. M.
1
2007
On the motion planning problem, complexity, entropy, and nonholonomic interpolation. Zbl 1121.53025
Gauthier, Jean-Paul; Zakalyukin, Vladimir
12
2006
Singularities of centre symmetry sets. Zbl 1068.57028
Giblin, P. J.; Zakalyukin, V. M.
19
2005
On the codimension one motion planning problem. Zbl 1079.53049
Gauthier, J.-P.; Zakalyukin, V.
9
2005
On the one-step-Bracket-Generating motion planning problem. Zbl 1069.53032
Gauthier, J.-P.; Zakalyukin, V.
8
2005
Robot motion planning: a wild case. Zbl 1138.70316
Gauthier, J. P.; Zakalyukin, V. M.
2
2005
Singularities of caustics in generic translation-invariant control problems. Zbl 1261.58014
Zakalyukin, V. M.
1
2005
On stability of projections of Lagrangian varieties. Zbl 1088.58514
Goryunov, V. V.; Zakalyukin, V. M.
2
2004
A simple symmetric matrix singularities and the subgroups of Weyl groups \(A_\mu\), \(D_\mu\), \(E_\mu\). Zbl 1040.58018
Goryunov, V. V.; Zakalyukin, V. M.
5
2003
Singularities of families of chords. Zbl 1049.58041
Giblin, P. J.; Zakalyukin, V. M.
5
2002
Sectional singularities and geometry of families of planar quadratic forms. Zbl 1018.32026
Bruce, J. W.; Goryunov, V. V.; Zakalyukin, V. M.
2
2002
On sub-Riemann caustics and wave fronts for contact distributions in the three-space. Zbl 1040.58017
Agrachev, A. A.; Charlot, G.; Gauthier, J. P. A.; Zakalyukin, V. M.
7
2000
Classification of relative minima singularities. Zbl 1040.65052
Davydov, Aleksej A.; Zakalyukin, Vladimir M.
2
1999
Point singularities of the conditional minimum on a three-dimensional manifold. Zbl 0920.58008
Davydov, A. A.; Zakalyukin, V. M.
1
1998
On the geometry of caustics. Zbl 0887.58006
Bruce, J. W.; Zakalyukin, V. M.
1
1997
Envelopes of families of wave fronts and control theory. Zbl 0883.93008
Zakalyukin, V. M.
6
1995
Symmetric wavefronts, caustic and Coxeter groups. Zbl 0944.58034
Roberts, R. M.; Zakalyukin, V. M.
1
1995
Singularities of isotropic submanifold projections. Zbl 0836.58002
Zakalyukin, Vladimir M.
1
1995
On stable singular Lagrangian varieties. Zbl 0799.58033
Zakalyukin, V. M.; Roberts, R. M.
2
1992
Generating ideals of Lagrangian varieties. Zbl 0731.58025
Zakalyukin, V. M.
3
1990
Reconstructions of fronts and caustics depending on a parameter and versality of mappings. Zbl 0554.58011
Zakalyukin, V. M.
38
1984
Singularities of convex hulls of smooth manifolds. Zbl 0421.52008
Zakalyukin, V. M.
3
1978
Lagrangian and Legendrian singularities. Zbl 0331.58007
Zakaljukin, V. M.
39
1976
Reconstructions of wave fronts depending on one parameter. Zbl 0345.58008
Zakalyukin, V. M.
7
1976
Umstellungen von Wellenfronten, die von einem Parameter abhängen. Zbl 0329.58008
Zakalyukin, V. M.
3
1976
The versality theorem. Zbl 0284.58004
Zakaljukin, V. M.
1
1973
Algebraic calculation of the index of a singular point of a vector field. Zbl 0247.57005
Zakaljukin, V. M.
1
1972
all top 5

Cited by 136 Authors

22 Izumiya, Shyuichi
15 Zakalyukin, Vladimir M.
12 Janeczko, Stanisław
10 Takahashi, Masatomo
7 Gauthier, Jean-Paul A.
7 Pei, Donghe
6 Domitrz, Wojciech
5 Giblin, Peter J.
5 Saji, Kentaro
4 Chen, Liang
4 de M. Rios, Pedro
4 Reeve, Graham Mark
4 Zwierzyński, Michał
3 Boscain, Ugo
3 Givental, Alexander Borisovich
3 Ishikawa, Goo
3 Jean, Frédéric
3 Kasedou, Masaki
3 Kowalczyk, Adam
3 Kurbatskiy, Aleksei Nikolaevich
3 Sato, Takami
3 Yildirim, Handan
2 Agrachev, Andreĭ Aleksandrovich
2 Alharbi, Fawaz
2 Barilari, Davide
2 Bonnard, Bernard
2 Bruce, James William
2 Ghezzi, Roberta
2 Huang, TiRen
2 Kong, LingLing
2 Nishimura, Takashi
2 Soares Ruas, Maria Aparecida
2 Sachkov, Yuriĭ Leonidovich
2 Serres, Ulysse
2 Sigalotti, Mario
2 Sun, Jianguo
2 Yang, Xiaoping
2 Yomdin, Yosef
1 Adams, Malcolm R.
1 Agafonov, Sergey I.
1 Alharbi, F. M.
1 Alharbi, Fahhad H.
1 Ambrosio, Luigi
1 Ardentov, Andrei A.
1 Augier, Nicolas
1 Barbero-Liñán, María
1 Belitskii, Genrich R.
1 Bernatska, Julia
1 Berret, Bastien
1 Bogaevskij, Il’ya Aleksandrovich
1 Bonnet, Benoît
1 Cai, Qihui
1 Chittaro, Francesca C.
1 Chyba, Monique
1 Cots, Olivier
1 Craizer, Marcos
1 Damon, James Norman
1 Davydov, Alekseĭ Aleksandrovich
1 Denham, Graham
1 Dreibelbis, Daniel
1 Eisenbud, David
1 Fukui, Toshizumi
1 Fukunaga, Takuro
1 Fukunaga, Tomonori
1 Garay, Mauricio D.
1 Goldman, Gil
1 Gonçalves, J. Basto
1 Goryunov, Victor V.
1 Grochowski, Marek
1 Guerra, Manuel
1 Guerra, Maria Letizia
1 Guo, Yongxin
1 Hasegawa, Masaru
1 Haviv, D.
1 Jiang, Yang
1 Kerner, Dmitry
1 Koike, Tatsuhiko
1 Kossowski, Marek
1 Kurokawa, Yasuhiro
1 Lebedev, Pavel Dmitrievich
1 Leykin, Dmitry
1 Liu, Chang
1 Liu, Shixing
1 Luo, Shaokai
1 Machida, Yoshinori
1 Magnani, Valentino
1 Maillot, Thibault
1 Manoel, Miriam
1 Martins, Rodrigo
1 Mason, Paolo
1 McCrory, Clint G.
1 Monroy-Pérez, Felipe
1 Nagai, Takayuki
1 Nguyen huu Duc
1 Nuño-Ballesteros, Juan José
1 Ortiz-Rodríguez, Adriana
1 Petitot, Jean
1 Petters, Arlie Oswald
1 Pike, Brian
1 Poénaru, Valentin
...and 36 more Authors
all top 5

Cited in 55 Serials

9 Journal of Geometry and Physics
8 Journal of Mathematical Physics
8 Journal of Mathematical Sciences (New York)
8 Journal of Dynamical and Control Systems
8 Proceedings of the Steklov Institute of Mathematics
8 Journal of Singularities
7 Topology and its Applications
5 Functional Analysis and its Applications
4 Journal of Mathematical Analysis and Applications
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 SIAM Journal on Control and Optimization
4 Tohoku Mathematical Journal. Second Series
3 Annales de l’Institut Fourier
3 Journal of the Mathematical Society of Japan
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Bulletin of the Brazilian Mathematical Society. New Series
2 Beiträge zur Algebra und Geometrie
2 Geometriae Dedicata
2 Kodai Mathematical Journal
2 International Journal of Mathematics
2 Bulletin of the American Mathematical Society
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Reports on Mathematical Physics
1 Chaos, Solitons and Fractals
1 Annales Polonici Mathematici
1 Demonstratio Mathematica
1 Glasgow Mathematical Journal
1 Journal of Differential Equations
1 Journal of Geometry
1 Journal of Optimization Theory and Applications
1 Journal of Pure and Applied Algebra
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Theoretical Computer Science
1 Systems & Control Letters
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Revista Matemática Iberoamericana
1 MCSS. Mathematics of Control, Signals, and Systems
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 International Journal of Modern Physics D
1 Calculus of Variations and Partial Differential Equations
1 Bulletin des Sciences Mathématiques
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Geometric Methods in Modern Physics
1 Science China. Mathematics
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Pacific Journal of Mathematics for Industry

Citations by Year

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