7 citations · 18 across the 13 of their papers we have counts for
13 papers
Polynomial Curve Systems are Exponentially Decaying
Shuyi Wang, Gaofei Zhang
The existence of a finite global attractor for polynomial curve system has been known since the work of Belk et al. [5]. However, except in the hyperbolic case, the rate at which t…
Gluing polynomials along the circle
Panjing Wu, Gaofei Zhang
Gluing is a cut and paste construction where the dynamics of a map in a given domain is replaced by a different one, under the condition that the two agree along the gluing curve.…
Local connectivity of Julia sets of some transcendental entire functions with Siegel disks
Fei Yang, Gaofei Zhang, Yanhua Zhang
Based on the weak expansion property of a long iteration of a family of quasi-Blaschke products near the unit circle established recently, we prove that the Julia sets of a number…
Jordan mating is always possible for polynomials
Gaofei Zhang
Suppose and are two post-critically finite polynomials of degree and respectively and suppose both of them have a finite super-attracting fixed point of degree…
Local connectivity of Julia sets of some rational maps with Siegel disks
Shuyi Wang, Fei Yang, Gaofei Zhang +1
We prove that a long iteration of rational maps is expanding near boundaries of bounded type Siegel disks. This leads us to extend Petersen's local connectivity result on the Julia…
Quadratic rational maps with a -cycle of Siegel disks
Yuming Fu, Fei Yang, Gaofei Zhang
For the family of quadratic rational functions having a -cycle of bounded type Siegel disks, we prove that each of the boundaries of these Siegel disks contains at most one crit…