Periodicity and Decomposability of Basin Boundaries with Irrational Maps on Prime Ends

DOI10.2307/2001509zbMath0767.54036OpenAlexW4230334114MaRDI QIDQ3971054

Russell B. Walker

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001509

zbMATH Keywords

periodic orbitsminimalitydecomposabilityprime endsbasin boundaryrational rotation number

Mathematics Subject Classification ID

Related Items (8)

Prime ends dynamics on invariant Peano continua ⋮ A really topological treatment of some aspects of Carathéodory’s theory of prime ends ⋮ Prime ends dynamics in parametrised families of rotational attractors ⋮ Rotation intervals and entropy on attracting annular continua ⋮ Realizing rotation numbers on annular continua ⋮ Poincaré theory for decomposable cofrontiers ⋮ Prime ends rotation numbers and periodic points ⋮ Singularities in the boundaries of local Siegel disks

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• On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y ² )y˙ + y = b λk cos(λl + α), k Large
• Some fixed point theorems

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