2 citations · 3 across the 10 of their papers we have counts for
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On quadratic Siegel disks with a class of unbounded type rotation numbers
Hongyu Qu, Jianyong Qiao, Guangyuan Zhang
In this paper we explore a class of quadratic polynomials having Siegel disks with unbounded type rotation numbers. We prove that any boundary point of Siegel disks of these polyno…
The numbers of periodic orbits of holomorphic mappings hidden at fixed points
Guang Yuan Zhang
Let be a ball in the complex vector space centered at the origin, let be a holomorphic mapping with , and let be…
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…
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…
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…