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Fixed Point Indices and Invariant Periodic Sets of Holomorphic Systems

Guang Yuan Zhang
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Abstract

This note presents a method to study center families of periodic orbits of complex holomorphic differential equations near singularities, based on some iteration properties of fixed point indices. As an application of this method, we will prove Needham's theorem in a more general version.

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Guang Yuan Zhang. 2005-11-11. Fixed Point Indices and Invariant Periodic Sets of Holomorphic Systems. https://arxiv.org/abs/math/0511285

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