INDECOMPOSABLE CONTINUA AND MISIUREWICZ POINTS IN EXPONENTIAL DYNAMICS

DOI10.1142/S0218127405013885zbMath1093.37506OpenAlexW2059183278MaRDI QIDQ5474348

Robert L. Devaney, Monica Moreno-Rocha, Xavier Jarque

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127405013885

Mathematics Subject Classification ID

Topological dynamics (37B99) Dynamical systems over complex numbers (37F99)

Related Items (10)

Joining polynomial and exponential combinatorics for some entire maps ⋮ On postsingularly finite exponential maps ⋮ A new type of non-landing exponential rays ⋮ A model for boundary dynamics of Baker domains ⋮ Adaptive synchronization of Julia sets generated by Mittag-Leffler function ⋮ A landing theorem for entire functions with bounded post-singular sets ⋮ Indecomposable continua in exponential dynamics -- Hausdorff dimension ⋮ On the connectivity of the escaping set for complex exponential Misiurewicz parameters ⋮ On the accumulation sets of exponential rays ⋮ Classification of escaping exponential maps

Cites Work

• Dynamical properties of some classes of entire functions
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Horseshoe maps and inverse limits
• One-dimensional nonseparating plane continua with disjoint \(\epsilon\)- dense subcontinua
• Itineraries of entire functions
• Complex analytic dynamics on the Riemann sphere
• HAIRS FOR THE COMPLEX EXPONENTIAL FAMILY
• The Exploding Exponential and Other Chaotic Bursts in Complex Dynamics
• LIMITING DYNAMICS FOR THE COMPLEX STANDARD FAMILY
• Misiurewicz Points for Complex Exponentials
• Tying hairs for structurally stable exponentials
• \(Se^x\): dynamics, topology, and bifurcations of complex exponentials

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