The analytic and formal normal form for the nilpotent singularity. The case of generalized saddle-node

Arnold, 1985, 82

Berthier, 1999, Bull. Sci. Math., 123, 351, 10.1016/S0007-4497(99)00106-2

Cerveau, 1988, Bull. Soc. Math. France, 116, 459, 10.24033/bsmf.2108

Elizarov, 1993, Finitely generated groups of germs of one-dimensional conformal mappings and invariants for complex singular points of analytic foliations of complex plane, 14, 57

Il'yashenko, 1993, Nonlinear Stokes phenomena, 14, 1

Loray, 1999, J. Differential Equations, 158, 152, 10.1016/S0022-0396(99)80021-7

Loray, 1984, Bol. Soc. Bras. Mat., 25, 93, 10.1007/BF01232937

Martinet, 1982, Publ. Math. IHES, 55, 63, 10.1007/BF02698695

Martinet, 1983, Ann. Sci. École, Norm. Sup., 16, 571, 10.24033/asens.1462

Meziani, 1996, Bol. Soc. Bras. Mat., 21, 23, 10.1007/BF01246703

R. Meziani, Classification analytique d'équations différentielles ydy+⋯=0 et espace de modules, Thése, l'Université Ibn Tofaile, 1998

Ramis, 1989, J. Fac. Sci. Univ. Tokyo Sec. IA. Math., 36, 706

E. Stróżyna, H. Żoła̧dek, The analytic and formal normal forms for the nilpotent singularity, J. Differential Equations (in press)

Takens, 1974, Publ. Math. IHES, 43, 47, 10.1007/BF02684366

Xianghong, 1995, Ann. Inst. Fourier, 45, 1449, 10.5802/aif.1502