On the dynamics of the critical Harper map

DOI10.1088/0951-7715/17/6/017zbMath1069.37068OpenAlexW2111114676MaRDI QIDQ4652953

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Publication date: 28 February 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/17/6/017

zbMATH Keywords

Lyapunov exponentscomputer simulationsrotation of the circleHarper equationSchrödinger cocycleparabolic caseMathieu operator at critical coupling

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (3)

APERIODIC NONCHAOTIC ATTRACTORS, STRANGE AND OTHERWISE ⋮ Some remarks on the dynamics of the almost Mathieu equation at critical coupling* ⋮ CRITICAL STRANGE NONCHAOTIC DYNAMICS IN THE FIBONACCI MAP

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