Dynamics of exp (z)
- 1 March 1984
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 4 (1) , 35-52
- https://doi.org/10.1017/s014338570000225x
Abstract
We describe the dynamical behaviour of the entire transcendental function exp(z). We use symbolic dynamics to describe the complicated orbit structure of this map whose Julia Set is the entire complex plane. Bifurcations occurring in the family c exp(z) are discussed in the final section.Keywords
This publication has 3 references indexed in Scilit:
- On iterates of ezErgodic Theory and Dynamical Systems, 1981
- Invariant sets under iteration of rational functionsArkiv för Matematik, 1965
- Sur l'itération des fonctions transcendantes EntièresActa Mathematica, 1926