@article{bwmeta1.element.bwnjournal-article-bcpv50z1p75bwm,
author = {Davydov, Alekse\u\i\ and Zakalyukin, Vladimir},
title = {Classification of relative minima singularities},
journal = {Banach Center Publications},
volume = {50},
year = {1999},
pages = {75-90},
zbl = {1040.65052},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv50z1p75bwm}
}
Davydov, Alekseĭ; Zakalyukin, Vladimir. Classification of relative minima singularities. Banach Center Publications, Tome 50 (1999) pp. 75-90. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv50z1p75bwm/
[000] [1] V. I. Arnol'd, S. M. Guseĭn-Zade, A. N. Varchenko, Singularities of Differentiable Maps I, Monogr. Math. 82, Birkhäuser, Boston, 1985.
[001] [2] V. I. Arnol'd, V. V. Goryunov, O. V. Lyashko and V. A. Vasil'ev, Singularity theory. II. Classification and applications, in: Dynamical Systems VIII, Encyclopaedia Math. Sci. 39, Springer, Berlin, 1993, 1-235.
[002] [3] L. N. Bryzgalova, The maximum functions of a family of functions that depend on parameters (in Russian), Funktsional. Anal. i Prilozhen. 12 (1978), no. 1, 66-67; English transl.: Functional Anal. Appl. 12 (1978), 50-51. | Zbl 0405.58024
[003] [4] J. Damon, The unfolding and determinacy theorems for subgroups of A and K, Mem. Amer. Math. Soc. 50 (1984), no. 306.
[004] [5] A. A. Davydov, Singularities of the maximum function over a preimage, in: Geometry in Nonlinear Control and Differential Inclusions, Banach Center Publ. 32, Warsaw, 1995, 167-181. | Zbl 0870.58009
[005] [6] A. A. Davydov, V. M. Zakalyukin, Point singularities of relative minimum on three dimensional manifold (in Russian), Trudy Mat. Inst. Steklov. 220 (1998), 113-129; English transl.: Proc. Steklov Inst. Mat. 220 (1998), 109-125. | Zbl 0920.58008
[006] [7] M. Giusti, Classification des singularités isolées d'intersections complètes simples, C. R. Acad. Sci. Paris Sér. A-B 284 (1977), A167-A170. | Zbl 0346.32015
[007] [8] V. V. Goryunov, Geometry of the bifurcation diagrams of simple projections onto a line (in Russian), Funktsional. Anal. i Prilozhen. 15 (1981), no. 2, 1-8; English transl.: Functional Anal. Appl. 15 (1981), 77-82. | Zbl 0507.58010
[008] [9] O. V. Lyashko, Classification of critical points of functions on a manifold with singular boundary (in Russian), Funktsional. Anal. i Prilozhen. 17 (1983), no. 3, 28-36; English transl.: Functional Anal. Appl. 17 (1983), 187-193.
[009] [10] V. I. Matov, Topological classification of the germs of functions of the maximum and minimax of families of functions in general position (in Russian), Uspekhi Mat. Nauk 37 (1982), no. 4, 167-168; English transl.: Russian Math. Surveys 37 (1982), no. 4, 127-128. | Zbl 0506.58004
[010] [11] V. M. Zakalyukin, Envelopes of families of wave fronts and control theory (in Russian), Trudy Mat. Inst. Steklov. 209 (1995), 133-142; English transl.: Proc. Steklov Inst. Math. 209 (1995), 114-123. | Zbl 0883.93008
[011] [12] V. M. Zakalyukin, Singularities of circles contact with surfaces and flags, Funktsional. Anal. i Prilozhen. 31 (1997), no. 2, 73-76; English transl.: Functional Anal. Appl. 31 (1997), 131-133.