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An analytic classification of saddle resonant singular points of holomorphic vector fields in the complex plane

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Abstract

An analytic classification of general saddle resonant points of holomorphic vector fields in the complex plane is obtained. This classification has two functional moduli more than an analytic orbital classification.

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  1. Chelyabinsk State University, 454136, Chelyabinsk, Russia

    S. M. Voronin & A. A. Grintchy

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  1. S. M. Voronin
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  2. A. A. Grintchy
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This paper is partly supported by the Soros Fund, grant M98000.

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Voronin, S.M., Grintchy, A.A. An analytic classification of saddle resonant singular points of holomorphic vector fields in the complex plane. Journal of Dynamical and Control Systems 2, 21–53 (1996). https://doi.org/10.1007/BF02259621

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  • DOI: https://doi.org/10.1007/BF02259621

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