Dynamics of exp (z)

Author:

Devaney Robert L.,Krych Michal

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. [8] Sullivan D. . Conformal dynamical systems. To appear.

2. [6] Mañé R. , Sad P. & Sullivan D. . On the dynamics of rational maps. To appear.

3. Iteration des applications fonctionnelles;Julia;J. Math. Pures Appl.,1918

4. [9] Sullivan D. . Quasi-conformal homeomorphisms and dynamics III. To appear.

5. On iterates of ez

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