Renormalization of correlations and spectra of a strange non-chaotic attractor

DOI10.1088/0305-4470/29/17/008zbMath0905.58018OpenAlexW2049735329WikidataQ60638592 ScholiaQ60638592MaRDI QIDQ4393578

Ulrike Feudel, Arkadij S. Pikovskij, Antonio Z. Politi

Publication date: 11 June 1998

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d247a03655b14d2b19f23a95625b259b62d5c6f5

zbMATH Keywords

symbolic dynamicsautocorrelation functionmultifractalrenormalization transformationsstrange nonchaotic attractorsingular continuous power spectrum

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Renormalization group methods in equilibrium statistical mechanics (82B28) Low-dimensional dynamical systems (37E99)

Related Items (13)

Harper equation, the dissipative standard map and strange nonchaotic attractors: Relationship between an eigenvalue problem and iterated maps ⋮ Renormalization analysis of correlation properties in a quasiperiodically forced two-level system ⋮ Autonomous strange nonchaotic oscillations in a system of mechanical rotators ⋮ Multistability in a quasiperiodically forced piecewise smooth dynamical system ⋮ Strange nonchaotic attractors with Wada basins ⋮ Renormalisation of correlations in a barrier billiard: quadratic irrational trajectories ⋮ Golden mean renormalization for the Harper equation: The strong coupling fixed point ⋮ Golden mean renormalization for a generalized Harper equation: The Ketoja–Satija orchid ⋮ Fixed points of composition sum operators ⋮ Renormalization of fluctuations for a generalized Harper equation for periodic continued fractions ⋮ The non-smooth pitchfork bifurcation: a renormalization analysis ⋮ Influence of noise on dynamics with fractal Fourier spectra ⋮ Self-similar correlations in a barrier billiard

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