@article{FAA_1981_15_4_a0,
author = {V. I. Arnol'd},
title = {Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {1--14},
year = {1981},
volume = {15},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1981_15_4_a0/}
}
V. I. Arnol'd. Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail. Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 4, pp. 1-14. http://geodesic.mathdoc.fr/item/FAA_1981_15_4_a0/
[1] Melrose R.B., “Equivalence of glancinghypersurfaces”, Invent. Math., 37:3 (1976), 165–192 | DOI | MR
[2] Whitney H., “On singularities of mappings of Euclidean spaces. I”, Ann. Math., 62 (1955), 374–410 | DOI | MR | Zbl
[3] Morin B., “Formes canoniques des singularites d'une application differentiable”, C.r. Acad. scient., Paris, 260 (1965), 5662–5665, 6503–6506 | MR | Zbl
[4] Arnold V.I., “Indeksy osobykh tochek 1-form na mnogoobrazii s kraem, svorachivanie invariantov grupp, porozhdennykh otrazheniyami, i osobye proektsii gladkikh poverkhnostei”, UMN, 34:2 (1979), 3–38 | MR
[5] Arnold V.I., “Wave fronts evolution and equivariant Morse lemma”, Comm. Pure Appl. Math., 28:6 (1976), 557–582 | DOI | MR
[6] Solomon L., “Invariants of finite reflection groups”, Nagoya Math. J., 22 (1963), 57–64 | DOI | MR | Zbl
[7] Arnold V.I., Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1974 | MR
[8] Lyashko O.V., “Geometriya bifurkatsionnykh diagramm”, UMN, 34:4 (1979), 205–206 | MR | Zbl
[9] Platonova O.A., “Osobennosti v zadache ob obkhode prepyatstviya”, Funkts. analiz, 15:2 (1981), 86–87 | MR | Zbl
[10] Arnold V.I., Zeldovich Ya.B., Shandarin S.F., “Elementy krupnomasshtabnoi struktury Vselennoi”, UMN, 36:3 (1981), 244–245
[11] Arnold V.I., “Zametanie kaustiki rebrom vozvrata dvizhuschegosya fronta”, UMN, 36:4 (1981), 233
[12] Eulero L., “Introductio in analysin infinitorum”, Lausannae, Bosquet, no. 316, 1748 | MR