Reversibility, Continued Fractions, and Infinite Meander Permutations of Planar Homoclinic Obits in Linear Hyperbolic Anosov Maps
نویسنده
چکیده
Meander permutations have been encountered in the context of Gauss words, singularity theory, Sturm global attractors, plane Cartesian billiards, and Temperley-Lieb algebras, among others. In this spirit we attempt to investigate the difference of orderings of homoclinic orbits on the stable and unstable manifolds of a planar saddle. As an example we consider reversible linear Anosov maps on the 2-torus, and their relation to continued fraction expansions.
منابع مشابه
Reversibility, Continued Fractions, and Infinite Meander Permutations of Planar Homoclinic Orbits in Linear Hyperbolic Anosov Maps
Meander permutations have been investigated in the context of Gauss words, singularity theory, Sturm global attractors, plane Cartesian billiards, and Temperley-Lieb algebras, among others. In this spirit we attempt to investigate the difference of the orderings of homoclinic orbits on the stable and unstable manifolds of a planar saddle. As an example we consider reversible linear Anosov maps ...
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