Rigidity theorem for degenerated singular points of germs of holomorphic vector fields in the complex plane

DOI10.1023/A:1013110718209zbMath1029.34078OpenAlexW124395013MaRDI QIDQ1868378

L. Ortiz-Bobadilla, Sergey Voronin, Ernesto Rosales-González

Publication date: 27 April 2003

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013110718209

zbMATH Keywords

rigiditysingular pointholomorphic vector fieldgeneric germs

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Singularities of holomorphic vector fields and foliations (32S65) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Dynamical aspects of holomorphic foliations and vector fields (37F75) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

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