Dynamics of local groups of conformal mappings and generic properties of differential equations on \(\mathbb{C}^{2}\)

DOI10.1134/S0081543806030047zbMath1351.37202OpenAlexW1994661331MaRDI QIDQ2342240

A. A. Shcherbakov

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543806030047

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Generic properties, structural stability of dynamical systems (37C20) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (6)

Bounded limit cycles of polynomial foliations of \(\mathbb {C}^{2}\) ⋮ Integrating factors for groups of formal complex diffeomorphisms ⋮ Unique ergodicity for foliations in \(\mathbb {P}^2\) with an invariant curve ⋮ Cheap complex limit cycles ⋮ On groups of formal diffeomorphisms of several complex variables ⋮ Unique ergodicity for foliations on compact Kähler surfaces

Cites Work

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