Topology Proceedings Document # baal-13
topology proceedings
Topology Proceedings 26 No. 1 (2001-2002), pp. 153-167

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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).

Keywords: dynamical systems, continua theory
Mathematics Subject Classification: 37B45 (37F45 37E30)

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Topology Proceedings, Volume 26 No. 1 (2001-2002)
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Copyright © 2002 Auburn University and Topology Atlas | Date: November 1, 2002.