Topological classification and bifurcations of holomorphic flows with resonances in \(C^ 2\).
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Publication:1173323
DOI10.1007/BF01398931zbMath0503.58023OpenAlexW2012992173MaRDI QIDQ1173323
Publication date: 1982
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142921
Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (8)
Michael’s problem and the Poincaré-Fatou-Bieberbach phenomenon ⋮ Topological equivalence of holomorphic foliation germs of rank $1$ with isolated singularity in the Poincaré domain ⋮ Orbital topological classification of analytic differential equations in a neighborhood of a degenerate elementary singular point on the two- dimensional complex plane ⋮ Dynamics and integrability for germs of complex vector fields with singularity in dimension two ⋮ Classification analytique des équations différentielles non linéaires résonnantes du premier ordre ⋮ A Darboux-type theorem for germs of holomorphic one-dimensional foliations ⋮ Dynamics of local groups of conformal mappings and generic properties of differential equations on \(\mathbb{C}^{2}\) ⋮ Meromorphic first integrals: Some extension results
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- Remarks on the topology of singular points of analytic differential equations in the complex domain and Ladis' theorem
- Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves
- The topology of holomorphic flows with singularity
- Remarks on singularities of finite codimension in complex dynamical systems
- A note on non-linearizable analitic functions
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