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Birth of complex invariant manifolds close to a singular point of a parametrically dependent vector field. (English. Russian original) Zbl 0295.34032

Funct. Anal. Appl. 6, 339-340 (1973); translation from Funkts. Anal. Prilozh. 6, No. 4, 95-96 (1972).

MSC:

34C30 Manifolds of solutions of ODE (MSC2000)
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References:

[1] V. I. Arnol’d, Funktsional’. Analiz i Ego Prilozhen.,3, No. 1, 1-6 (1969). · Zbl 0249.34035
[2] A. D. Bryuno, Trudy Mosk. Matem. Ob-va,25, 119-262 (1971).
[3] K. L. Zigel?, Matematika,5, No. 2, 119-128 (1961).
[4] H. Poincaré, These, 1879. Oeuvres, Vol. I, Paris (1928).
[5] E. Hopf, Berich. Sachs. Akad. Wiss., Leipzig, Math. Phys. Kl.,94, No. 19, 15-25 (1942).
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