Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers
DOI10.1080/10236190500273069zbMath1082.37044arXivmath/0301294OpenAlexW2114901255MaRDI QIDQ5717581
Jeffrey C. Lagarias, Eric M. Rains
Publication date: 10 January 2006
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0301294
Dynamical systems involving maps of the circle (37E10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Symbolic dynamics (37B10) Combinatorial dynamics (types of periodic orbits) (37E15) Rotation numbers and vectors (37E45)
Related Items (10)
Cites Work
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- Ergodic properties of the Lozi mappings
- Absence of localization in a class of Schrödinger operators with quasiperiodic potential
- Cantor spectrum for the almost Mathieu operator
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- The Ten Martini problem
- JACOBI MATRICES WITH RANDOM POTENTIALS TAKING FINITELY MANY VALUES
- Periodic orbits of difference equations
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