@incollection{AST_1994__222__233_0,
author = {Ilyashenko, Yu. S.},
title = {Normal forms for local families and nonlocal bifurcations},
booktitle = {Complex analytic methods in dynamical systems - IMPA, January 1992},
editor = {Camacho C. and Lins Neto A. and Moussu R. and Sad P.},
series = {Ast\'erisque},
pages = {233--258},
year = {1994},
publisher = {Soci\'et\'e math\'ematique de France},
number = {222},
language = {en},
url = {https://www.numdam.org/item/AST_1994__222__233_0/}
}
TY - CHAP AU - Ilyashenko, Yu. S. TI - Normal forms for local families and nonlocal bifurcations BT - Complex analytic methods in dynamical systems - IMPA, January 1992 AU - Collectif ED - Camacho C. ED - Lins Neto A. ED - Moussu R. ED - Sad P. T3 - Astérisque PY - 1994 SP - 233 EP - 258 IS - 222 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_1994__222__233_0/ LA - en ID - AST_1994__222__233_0 ER -
%0 Book Section %A Ilyashenko, Yu. S. %T Normal forms for local families and nonlocal bifurcations %B Complex analytic methods in dynamical systems - IMPA, January 1992 %A Collectif %E Camacho C. %E Lins Neto A. %E Moussu R. %E Sad P. %S Astérisque %D 1994 %P 233-258 %N 222 %I Société mathématique de France %U https://www.numdam.org/item/AST_1994__222__233_0/ %G en %F AST_1994__222__233_0
Ilyashenko, Yu. S. Normal forms for local families and nonlocal bifurcations, dans Complex analytic methods in dynamical systems - IMPA, January 1992, Astérisque, no. 222 (1994), pp. 233-258. https://www.numdam.org/item/AST_1994__222__233_0/
[A] , Supplementary chapters of the theory of the differential equations, Nauka, Moscow, 1978.
[AAIS] , , , , Bifurcation theory, Dynamical system V, VINITI, Moscow, 1986.
[B] , Equivalence and normal forms of germs of smooth maps, Russian Math. Surveys 1 (1978), 91-155.
[Bo] , Local orbital normal forms of vector fields in the plane, Proceeding of the Seminar of I. G. Petrovskii 5 (1986), Moscow, 51-84.
[Br] , Local method of nonlinear analysis of differential equations, Nauka, Moscow, 1979.
[G] , Projections of semianalitic sets. Funct. Anal. and appl. 2 (1978), no. 4.
[I] (ed.), Around Hilbert 16th problem, Collection of papers by Yu. S. Ilyashenko, O. A. Kleban, A. Yu. Kotova. S. I. Trifonov, S. Yu. Yakovenko (to appear).
[IY1] , , Smooth norm,al forms of local families of diffeomorphismes and vector fields. Russian Math. Surveys 46 (1991), no. 1, 3-39.
[IY2] , , Stokes phenomena in smooth classification problem, Nonlinear Stokes phenomena (Yu. S. Ilyashenko, ed.), AMS (to appear).
[IY3] , , Hilbert-Arnold problem for elementary polycycles, Around Hilbert 16th problem (to appear).
[Kh] , Funomials, AMS, Providence RI, 1991.
[K] , Versal deformations of differential forms of degree on the line, Funct. Anal. and appl. 18 (1984), 81-82.
[KS] , , Bifurcations on planar polycycles in generic two and three parameter families: systematizations and some new effects, to appear.
[M] , Stratifications and mapping, Dynamic Systems (Pieixoto, eds.), Acad. Press, NY and London, 1973, pp. 195-232.
[R] , On the number of limit cycles which appear be perturbation of separatrix loop of planar vector fields, Bol. Coc. Math. Brasil 17 (1986), 67-101.
[S] , Equivalence system of differential equations in the neighborhood of a singular point, Proceedings of Moscow Math. Society 44 (1982), 213-234.
[T] , Partially hyperbolic fixed points, Topology 10 (1971), 133-147.
[W] , Local properties of analytic varieties. Differential and Combinatorial Topology, Princepton, 1965.







