Universal small-scale structure near the boundary of Siegel disks of arbitrary rotation number

DOI10.1016/0167-2789(87)90223-5zbMath0612.58028OpenAlexW2043290428MaRDI QIDQ1088236

Robert S. MacKay, Ian C. Percival

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90223-5

zbMATH Keywords

ergodic attractor for a renormalization operatorquadratic critical point

Mathematics Subject Classification ID

Topological dynamics (37B99) Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items

Symbolic dynamics for the renormalization map of a quasiperiodic Schrödinger equation, Geometry of \(p\)-adic Siegel discs, Modular smoothing and KAM tori, Renormalization-group analysis for the transition to chaos in Hamiltonian systems, Exact results for an approximate renormalisation scheme and some predictions for the breakup of invariant tori, Limit laws of entrance times for homeomorphisms of the circle, Renormalization group operators for maps and universal scaling of universal scaling exponents, Renormalisation of bicritical circle maps, Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters, Renormalization in a circle map with two inflection points, Unnamed Item, Approximate renormalization with codimension-one fixed point for the break-up of some three-frequency tori, Renormalization in the golden-mean semi-Siegel Hénon family: universality and non-rigidity, Unstable manifolds for the MacKay approximate renormalisation

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