Julia sets and bifurcation diagrams for exponential maps

DOI10.1090/S0273-0979-1984-15253-4zbMath0542.58021OpenAlexW2101673322WikidataQ122699476 ScholiaQ122699476MaRDI QIDQ3330180

Robert L. Devaney

Publication date: 1984

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1984-15253-4

zbMATH Keywords

bifurcations

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Associators in generalized octonionic maps, Iteration of meromorphic functions, Non-escaping endpoints do not explode, The generalized Mandelbrot-Julia sets from a class of complex exponential map, Global aspects of the continuous and discrete Newton method: A case study, Dynamics of entire functions near the essential singularity, Hausdorff dimension of theM-set of λ exp(z), On the dynamics of entire maps with symmetry, Unnamed Item, A landing theorem for entire functions with bounded post-singular sets, Hausdorff measure of the escaping parameter without endpoints is zero for exponential family, Most of the Maps near the Exponential are Hyperbolic, The Geometry of Julia Sets, Itineraries of entire functions, Iteration of a Composition of Exponential Functions, Structural Instability of Exponential Functions, Classification of escaping exponential maps, Transcendental entire functions whose Julia set is the complex plane, Dynamics in the Eremenko-Lyubich class, Bifurcations in the space of exponential maps, The M-set of λ exp(z)/z has infinite area, Dynamics of Julia Sets for Complex Exponential Functions, Ordering of the Mandelbrot-like set of the exponential map

Cites Work

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• On the dynamics of rational maps
• Dynamics of exp (z)
• Positive measure sets of ergodic rational maps
• On iterates of e^z
• On the measurable dynamics of z → e^z