Takens, Floris Normal forms for certain singularities of vectorfields. (English) Zbl 0266.34046 Ann. Inst. Fourier 23, No. 2, 163-195 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 89 Documents MSC: 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 58D99 Spaces and manifolds of mappings (including nonlinear versions of 46Exx) 37-XX Dynamical systems and ergodic theory PDF BibTeX XML Cite \textit{F. Takens}, Ann. Inst. Fourier 23, No. 2, 163--195 (1973; Zbl 0266.34046) Full Text: DOI Numdam EuDML References: [1] J. DIEUDONNÉ, Foundations of modern analysis, Acad. Press, New York, 1960. · Zbl 0100.04201 [2] S. KOBAYASHI and K. NOMIZU, Foundations of differential geometry vol. 1, Interscience, New York, 1963. · Zbl 0119.37502 [3] R. NARASIMHAN, Analysis on real and complex manifolds, North-Holland, Amsterdam, 1968. · Zbl 0188.25803 [4] S. STERNBERG, Local contractions and a theorem of Poincaré, Amer. J. Math. vol. LXXIX (1957), 809-824. · Zbl 0080.29902 [5] F. TAKENS, Singularities of vectorfields, to appear in Publ. I. H. E. S.. · Zbl 0279.58009 [6] F. TAKENS, Derivations of vectorfields, to appear in Comp. Math.. · Zbl 0258.58005 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.