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La théorie des catastrophes. IV. Deploiements universels et leurs catastrophes. (French) Zbl 0407.58015

MSC:
58K35Catastrophe theory
WorldCat.org
Full Text: Numdam EuDML
References:
[1] R. Thom , Stabilité structurelle et morphogénèse . Benjamin , Reading, Mass. , 1972 . MR 488155 | Zbl 0294.92001 · Zbl 0294.92001
[2] F. Latour , Stabilité des champs d’applications différentiables ; généralisation d’un théorème de J. Mather . C. R. Acad. Sci. Paris , t. 268 , 1969 , p. 1331 . MR 246313 | Zbl 0184.48501 · Zbl 0184.48501
[3] R. Thom , Topological models in biology . Topology , vol. 8 , 1969 , p. 313 . MR 245318 | Zbl 0165.23301 · Zbl 0165.23301 · doi:10.1016/0040-9383(69)90018-4
[4] R. Thom , Modèles mathématiques de la morphogénèse , chapitre 3. Théorie du déploiement universel , I. H. E. S ., Bures-sur-Yvette , multigr., 1971 . MR 467804 | Zbl 0347.58003 · Zbl 0347.58003
[5] G. Wassermann , Stability of Unfoldings . Lecture Notes in Mathematics , vol. 393 , Springer-Verlag , Berlin , 1974 . MR 410789 | Zbl 0288.57017 · Zbl 0288.57017 · doi:10.1007/BFb0061658
[6] J.J. Duistermaat , Oscillatory Integrals, Lagrange Immersions, and Unfoldings of Singularities . Commun. pure appl. Math. , vol. XXVII , no. 2 , 1974 , p. 207 . MR 405513 | Zbl 0285.35010 · Zbl 0285.35010 · doi:10.1002/cpa.3160270205
[7] F. Sergeraert , Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications . Ann. scient. Ec. Norm. Sup. , 4 e série, t. 5 , 1972 , p. 599 . Numdam | MR 418140 | Zbl 0246.58006 · Zbl 0246.58006 · numdam:ASENS_1972_4_5_4_599_0 · eudml:81908
[8] J.-C. Tougeron , Stabilité des applications différentiables . Séminaire Bourbaki , n^\circ 336 , 1967 , p. 1 . Numdam | Zbl 0209.54901 · Zbl 0209.54901 · numdam:SB_1966-1968__10__375_0 · eudml:109738
[9] J.N. Mather , Stability of C\infty mappings. I. The division theorem . Ann. of Math. , no. 87 , 1968 , p. 89 . MR 232401 | Zbl 0159.24902 · Zbl 0159.24902 · doi:10.2307/1970595
[10] J.-G. Dubois et J.-P. Dufour , La théorie des catastrophes. II. Dynamiques gradientes à une variable d’état . Ann. Inst. Henri Poincaré , Section A, vol. XX , n^\circ 2 , 1974 , p. 135 . Numdam | MR 375377 | Zbl 0293.58005 · Zbl 0293.58005 · numdam:AIHPA_1974__20_2_135_0 · eudml:75800
[11] J.N. Mather , Stability of C\infty mappings. III. Finitely determined map-germs . Publ. Math. I. H. E. S. , no. 35 , 1968 , p. 279 . Numdam | MR 275459 | Zbl 0159.25001 · Zbl 0159.25001 · doi:10.1007/BF02698926 · numdam:PMIHES_1968__35__127_0 · eudml:103885
[12] D. Siersma , The singularities of C\infty -functions of right-codimension smaller or equal than eight . Indag. Math. , vol. 35 , 1973 , p. 31 . MR 375380 | Zbl 0249.58004 · Zbl 0249.58004
[13] V.I. Arnol’d , Normal forms for functions near degenerate critical points, the Weyl groups of Ak, Dk, Ek and Lagrangian singularities . Funct. Anal. and its Appl. , vol. 6 , no. 4 , 1972 , p. 254 . MR 356124 | Zbl 0278.57011 · Zbl 0278.57011 · doi:10.1007/BF01077644
[14] V.I. Arnol’d , Remarques sur la méthode de la phase stationnaire et les nombres de Coxeter (en russe) . Uspekhi Mat. Nauk , t. XXVIII , n^\circ 5 , 1973 , p. 17 . Zbl 0285.40002 · Zbl 0285.40002