Geodesic
Decompositions of simple singularities of real functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 22 (1988) no. 4, pp. 52-67.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1988_22_4_a4,
     author = {Yu. S. Chislenko},
     title = {Decompositions of simple singularities of real functions},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {52--67},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1988_22_4_a4/}
}
TY  - JOUR
AU  - Yu. S. Chislenko
TI  - Decompositions of simple singularities of real functions
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1988
SP  - 52
EP  - 67
VL  - 22
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1988_22_4_a4/
LA  - ru
ID  - FAA_1988_22_4_a4
ER  - 
%0 Journal Article
%A Yu. S. Chislenko
%T Decompositions of simple singularities of real functions
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1988
%P 52-67
%V 22
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1988_22_4_a4/
%G ru
%F FAA_1988_22_4_a4
Yu. S. Chislenko. Decompositions of simple singularities of real functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 22 (1988) no. 4, pp. 52-67. http://geodesic.mathdoc.fr/item/FAA_1988_22_4_a4/

[1] Arnold V.I., “Normalnye formy funkschsh vblizi vyrozhdennykh kriticheskikh tochek, gruppy Veilya $A_k$, $D_k$, $E_k$ i lagranzhevy osobennosti”, Funktsion. analiz i ego pril., 6:4 (1972), 3–25 | MR

[2] Arnold V.I., “Kriticheskie tochki gladkikh funktsii i ikh normalnye formy”, UMN, 30:5 (1975), 3–65 | DOI | MR

[3] Arnold V.I., Varchenko A.N., Gusein-Zade S.M., Osobennosti differentsiruemykh otobrazhenii. Klassifikatsiya kriticheskikh tochek, kaustik i volnovykh frontov, Nauka, M, 1982 | MR

[4] Arnold V.Ya., Varchenko A.N., Gusein-Zade S.M., Osobennosti differentsiruemykh otobrazhenii. Monodromiya i asimptotiki integralov, Nauka, M., 1984 | MR

[5] Callahan J., “Singularities and Plane Maps. II. Sketching Catastrofes”, Amer. Math. Monthly, 84 (1977), 765–803 | DOI | MR | Zbl

[6] A'Campo N., “Le grope de monodromie du deploiment des singularites isolees de courbes planes. I”, Math. Ann., 213:1 (1975), 1–32 | DOI | MR

[7] A'Campo N., “Le gronpe de monodromie du deploiment des singularites isolees de courbes planes. II”, Actes du Gongres Intern. Mathematiciens, 1, no. 1, Vancouver, 1974, 395–404 | MR

[8] Gabrielov A.M., “Bifurkatsii, diagrammy Dynkina i modalnost izolirovannykh osobennostei”, Funktsion. analiz i ego pril., 8:2 (1974), 7–12 | MR | Zbl

[9] Gilmor R., Prikladnaya teoriya katastrof, T. 1, Mir, M., 1983

[10] Gusein-Zade S.M., “Matritsy peresechenii dlya nekotorykh osobennostei funktsii dvukh peremennykh”, Funktsion. analiz i ego pril., 8:1 (1974), 11–15 | MR | Zbl

[11] Loojenga E., “The Complement of the Bifurcation Variety of a simple singularity”, Invent. Math., 23:2 (1975), 105–116 | DOI | MR

[12] Lyashko O.V., “Raspadenie prostykh osobennostei funktsii”, Funktsion. analiz i ego pril., 10:2 (1976), 49–56 | MR | Zbl

[13] Lyashko O.V., Geometriya bifurkatsionnykh diagramm, Diss. ... kand. fiz.-mat. nauk, MGU, M., 1979

[14] Milnor Dzh., Teoriya Morsa, Mir, M., 1965 | MR

[15] Yavorski P., Deformatsii kriticheskikh tochek i kriticheskikh znachenii gladkikh funktsii, Diss. ... kand. fiz.-mat. nauk, MGU, M., 1986