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math.DS2020
Quadratic Dynamics Over Hyperbolic Numbers
Sandra Hayes
Hyperbolic numbers are a variation of complex numbers, but their dynamics is quite different. The hyperbolic Mandelbrot set for quadratic functions over hyperbolic numbers is simpl…
math.DS2013
The Real Dynamics of Bieberbach's Example
Sandra Hayes, Axel Hundemer, Evan Milliken +1
Bieberbach constructed in 1933 domains in which were biholomorphic to but not dense. The existence of such domains was unexpected. The special domains Bie…
math.DS2013
Diffeomorphisms with stable manifolds as basin boundary
Sandra Hayes, Christian Wolf
In this paper we study the dynamics of a family of diffeomorphisms in $\bR^2$ defined by where is a unimodal -map which has the same dyna…