Normal forms for certain singularities of vectorfields
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Publication:2562443
DOI10.5802/aif.467zbMath0266.34046OpenAlexW2062451312MaRDI QIDQ2562443
Publication date: 1973
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1973__23_2_163_0
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems and ergodic theory (37-XX) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)
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Cites Work
