Fixed points of a family of exponential maps
DOI:
https://doi.org/10.4067/S0716-09172005000300003Abstract
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.
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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).
[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).
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Published
2017-04-20
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How to Cite
[1]
“Fixed points of a family of exponential maps”, Proyecciones (Antofagasta, On line), vol. 24, no. 3, pp. 229–237, Apr. 2017, doi: 10.4067/S0716-09172005000300003.
