Golden mean renormalization for the Harper equation: The strong coupling fixed point

DOI10.1063/1.1328743zbMath0985.81029OpenAlexW2018382241MaRDI QIDQ2731840

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Publication date: 30 July 2001

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

Full work available at URL: https://semanticscholar.org/paper/da4ec4df7d27251a1275e33056e8429f974e3903

zbMATH Keywords

strange nonchaotic attractor

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear difference operators (47B39) Difference equations (39A99)

Related Items (13)

Asymptotic scaling and universality for skew products with factors in SL(2,) ⋮ Renormalization analysis of correlation properties in a quasiperiodically forced two-level system ⋮ A computer-assisted proof of dynamo growth in the stretch-fold-shear map ⋮ Strange nonchaotic attractors in Harper maps ⋮ Renormalisation of correlations in a barrier billiard: quadratic irrational trajectories ⋮ 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 ⋮ Advected fields in maps: II. Dynamo action in the stretch–fold–shear map ⋮ Golden mean renormalization for the almost Mathieu operator and related skew products ⋮ Renormalization and universality of the Hofstadter spectrum ⋮ Advected fields in maps. I: Magnetic flux growth in the stretch-fold-shear map ⋮ Self-similar correlations in a barrier billiard

Cites Work

• Harper equation, the dissipative standard map and strange nonchaotic attractors: Relationship between an eigenvalue problem and iterated maps
• Renormalization of correlations and spectra of a strange non-chaotic attractor
• Universal criterion for the breakup of invariant tori in dissipative systems

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