On connectedness of chaotic sections of some 3-periodic surfaces

DOI10.1007/s10455-012-9344-yzbMath1350.37046arXiv1112.5870OpenAlexW2066456153MaRDI QIDQ1942002

Alexandra Skripchenko

Publication date: 25 March 2013

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5870

zbMATH Keywords

Rauzy inductioninterval identification systemstriply periodic surfaceRips machine

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Motion of charged particles (78A35) Foliations in differential topology; geometric theory (57R30) Dynamical systems involving maps of the interval (37E05)

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Symmetric band complexes of thin type and chaotic sections which are not quite chaotic ⋮ The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems ⋮ Diffusion for chaotic plane sections of 3-periodic surfaces ⋮ Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter ⋮ Quasiperiodic dynamics and magnetoresistance in normal metals ⋮ Open level lines of a superposition of periodic potentials on a plane

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