Golden mean renormalization for a generalized Harper equation: The Ketoja–Satija orchid

DOI10.1063/1.1797532zbMath1064.47036OpenAlexW1999627179MaRDI QIDQ3024163

Andrew H. Osbaldestin, Ben D. Mestel

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1063/1.1797532

zbMATH Keywords

periodic orbitsstrange attractorfluctuations of localized eigenstatesHarper equation with golden mean flux

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Additive difference equations (39A10) Linear difference operators (47B39) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (7)

Renormalization for the Harper equation for quadratic irrationals ⋮ Strange nonchaotic attractors in Harper maps ⋮ Renormalisation of correlations in a barrier billiard: quadratic irrational trajectories ⋮ 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 ⋮ 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
• Self-similar correlations in a barrier billiard
• Metal-insulator transition for the almost Mathieu operator
• Golden mean renormalization for the Harper equation: The strong coupling fixed point
• Schrödinger operators in the twentieth century
• Renormalization of correlations and spectra of a strange non-chaotic attractor
• Universal criterion for the breakup of invariant tori in dissipative systems
• Renormalization analysis of correlation properties in a quasiperiodically forced two-level system
• Renormalization for the Harper equation for quadratic irrationals
• Single Band Motion of Conduction Electrons in a Uniform Magnetic Field

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