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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) v.24 n.3 Antofagasta dic. 2005

http://dx.doi.org/10.4067/S0716-09172005000300003 

 

Proyecciones
Vol. 24, No 3, pp. 229-237, December 2005.
Universidad Católica del Norte
Antofagasta - Chile

 

FIXED POINTS OF A FAMILY OF EXPONENTIAL MAPS

 

ERIC BLABAC * and JUSTIN PETERS

Iowa State University, U. S. A.


Abstract

We consider the family of functions ¦l(z) = exp(ilz), l real. With the help of MATLAB computations, we show ¦l has a unique attracting fixed point for several values of l. We prove there is no attracting periodic orbit of period n ³ 2.

Keywords subjclass : 37510

 

*Eric Blabac is an MS student in the Mathematics Department at Iowa State University.

 

References

[1] Borwein, Jonathan M, and Corless, Robert M., Emerging Tools for Experimental Mathematics, Amer. Math.Monthly 106, No. 10, pp. 899-909, (1999).

[2] Devaney, Robert L., An Introduction to Chaotic Dynamical Systems, Addison-Wesley, (1989).

[3] Rubenfeld, Lester A., A First Course in Applied Complex Variables, John Wiley & Sons, (1985).

 

Eric M. Blabac
Department of Mathematics
Iowa State University
Ames, IA 50011
U. S. A.
e-mail : ebikeman@iastate.edu

and

Justin R. Peters
Department of Mathematics
Iowa State University
Ames, IA 50011
e-mail : peters@iastate.edu

  Received : September 2005. Accepted : November 2005

 

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