Fixed Point Indices and Invariant Periodic Sets of Holomorphic Systems

Details Fixed Point Indices and Invariant Periodic Sets of Holomorphic Systems Fixed Point Indices and Invariant Periodic Sets of Holomorphic Systems

2005-11-11

arxiv.org/abs/math/0511285v1

Mathematics

Dynamical Systems

10 pages, To appear in Proc. Amer.Math.Soc

Scientific paper

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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