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Orbital topological classification of analytic differential equations in a neighborhood of a degenerate elementary singular point on the two- dimensional complex plane

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Publication:914017
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DOI10.1007/BF01388508zbMath0701.34012MaRDI QIDQ914017

P. M. Elizarov

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

complex saddle node


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)





Cites Work

  • Unnamed Item
  • Topological classification and bifurcations of holomorphic flows with resonances in \(C^ 2\).
  • Remarks on singularities of finite codimension in complex dynamical systems
  • Local Contractions and a Theorem of Poincare
  • Orbital topological classification of analytic differential equations in the neighbourhood of a degenerate elementary singularity
  • Reduction of Singularities of the Differential Equation Ady = Bdx




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