Snapback repellers and semiconjugacy for iterated entire mappings. Global aspects of an old theorem of Poincaré

DOI10.1007/BF02567673zbMath0760.30009OpenAlexW2912193957MaRDI QIDQ1191451

Franz Rothe

Publication date: 27 September 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155698

zbMATH Keywords

critical pointsiterates

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)

Related Items (1)

An analogue to the Smale-Birkhoff homoclinic theorem for iterated entire mappings

Cites Work

• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Iteration of analytic functions
• Chaotic Bursts in Nonlinear Dynamical Systems
• Complex analytic dynamics on the Riemann sphere
• Discrete Dynamical Systems in Dimensions One and Two
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