Geodesic
Dynamics of Local Groups of Conformal Mappings and Generic Properties of Differential Equations on~$\mathbb C^2$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Nonlinear analytic differential equations, Tome 254 (2006), pp. 111-129

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

This paper is a survey of the present state of the problems related to the generic properties of foliations defined on $\mathbb C^2$ by algebraic differential equations. We prove that the properties of density, absolute rigidity, and existence of a countable set of complex limit cycles are inherent in all equations except possibly for the union of some real algebraic set and real analytic set of codimension at least two in the space of coefficients. 
@article{TM_2006_254_a3,
     author = {A. A. Shcherbakov},
     title = {Dynamics of {Local} {Groups} of {Conformal} {Mappings} and {Generic} {Properties} of {Differential} {Equations} on~$\mathbb C^2$},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {111--129},
     publisher = {mathdoc},
     volume = {254},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2006_254_a3/}
}
TY  - JOUR
AU  - A. A. Shcherbakov
TI  - Dynamics of Local Groups of Conformal Mappings and Generic Properties of Differential Equations on~$\mathbb C^2$
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2006
SP  - 111
EP  - 129
VL  - 254
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2006_254_a3/
LA  - ru
ID  - TM_2006_254_a3
ER  - 
%0 Journal Article
%A A. A. Shcherbakov
%T Dynamics of Local Groups of Conformal Mappings and Generic Properties of Differential Equations on~$\mathbb C^2$
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2006
%P 111-129
%V 254
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2006_254_a3/
%G ru
%F TM_2006_254_a3
A. A. Shcherbakov. Dynamics of Local Groups of Conformal Mappings and Generic Properties of Differential Equations on~$\mathbb C^2$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Nonlinear analytic differential equations, Tome 254 (2006), pp. 111-129. http://geodesic.mathdoc.fr/item/TM_2006_254_a3/