Topology Proceedings 26 No. 1 (2001-2002), pp. 153-167
A semilinear model for exponential dynamics and topology
Robert L. Devaney and Mónica Moreno Rocha
We present a model over the plane that recreates the same
dynamics involved for the complex exponential family. This model is based
on a one parameter family of continuous, semilinear maps. Under certain
assumptions over the parameter value, we show the continuum obtained from
the semilinear map resembles the one obtained for E\lambda(z).