Structural instability of $\textrm {exp}(z)$
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- by Robert L. Devaney PDF
- Proc. Amer. Math. Soc. 94 (1985), 545-548 Request permission
Abstract:
The entire function $\operatorname {exp}\left ( z \right )$ has a Julia set equal to the whole plane. We show that there are complex $\lambda$’s near 1 such that $\lambda {e^z}$ has an attracting periodic orbit. Hence ${e^z}$ is not structurally stable.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 545-548
- MSC: Primary 58F12; Secondary 30D05, 58F10
- DOI: https://doi.org/10.1090/S0002-9939-1985-0787910-2
- MathSciNet review: 787910