The Exploding Exponential and Other Chaotic Bursts in Complex Dynamics
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Publication:3983393
DOI10.2307/2325024zbMath0742.30025OpenAlexW2011332556MaRDI QIDQ3983393
Robert L. Devaney, Marilyn B. Durkin
Publication date: 27 June 1992
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2325024
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems and ergodic theory (37-XX)
Related Items (14)
Iteration of certain exponential-like meromorphic functions ⋮ Iteration of meromorphic functions ⋮ Indecomposable continua in exponential dynamics ⋮ Dynamics of two families of meromorphic functions involving hyperbolic cosine function ⋮ Super-attracting cycles for the cosine-root family ⋮ Dynamics of two parameter family of hyperbolic sine like functions ⋮ Meromorphic multifunctions in complex dynamics ⋮ Dynamics of certain class of critically bounded entire transcendental functions ⋮ Fixed points and dynamics of two-parameter family of hyperbolic cosine like functions ⋮ CHAOTIC BURST IN THE DYNAMICS OF A CLASS OF NONCRITICALLY FINITE ENTIRE FUNCTIONS ⋮ INDECOMPOSABLE CONTINUA AND MISIUREWICZ POINTS IN EXPONENTIAL DYNAMICS ⋮ Observations on the dynamics of the complex cosine-root family ⋮ Julia sets of certain exponential functions ⋮ Ordering of the Mandelbrot-like set of the exponential map
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