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math.DS2005
Fixed Point Indices and Invariant Periodic Sets of Holomorphic Systems
Guang Yuan Zhang
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 fixe…
math.DS2005★ 2 cited
From an iteration formula to Poincaré's Isochronous Center Theorem for holomorphic vector fields
Guang Yuan Zhang
We first generalize a classical iteration formula for one variable holomorphic mappings to a formula for higher dimensional holomorphic mappings. Then, as an application, we give a…
math.DS2005
Fixed point indices and periodic points of holomorphic mappings
Guang Yuan Zhang
Let be the ball in the complex vector space , let be a holomorphic mapping and let be a positive integer. Assume t…