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Normal forms for certain singularities of vectorfields. (English) Zbl 0266.34046


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
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References:

[1] [1] , Foundations of Modern Analysis, Acad. Press, New York, 1960. · Zbl 0100.04201
[2] [2] and , Foundations of differential geometry vol. 1, Interscience, New York, 1963. · Zbl 0119.37502
[3] [3] , Analysis on real and complex manifolds, North-Holland, Amsterdam, 1968. · Zbl 0188.25803
[4] [4] , 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..0279.58009PMIHES_1974__43__47_0 · Zbl 0279.58009
[6] [6] , Derivations of vectorfields, to appear in Comp. Math.. · Zbl 0258.58005
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