Fixed points of a family of exponential maps

• Blabac, Eric M. ^[1] ; Peters, Justin R. ^[1]
  1. [1] Iowa State University

     Iowa State University

     Township of Franklin, Estados Unidos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 24, Nº. 3, 2005, págs. 229-237
• Idioma: inglés
• DOI: 10.4067/S0716-09172005000300003
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• Resumen

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

• Referencias bibliográficas
  • Citas [1] Borwein, Jonathan M, and Corless, Robert M., Emerging Tools for Experimental Mathematics, Amer. Math. Monthly 106, No. 10, pp....
  • [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).