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Chaos in the Classical Analogue of the Hofstadter Problem

chao-dyn 2007-05-23 v1 Chaotic Dynamics

Abstract

The behaviour of an electron in a potential that resembles that of a bidimensional solid with a perpendicular magnetic field applied is studied from a classical point of view. This problem presents the standard features of chaos and some interesting new patterns. A new chaos indicator, called random walk indicator, is presented to describe som of these new patterns

Keywords

Cite

@article{arxiv.chao-dyn/9808012,
  title  = {Chaos in the Classical Analogue of the Hofstadter Problem},
  author = {M. del Mar Espinosa and Miguel A. Martin-Delgado and Alfonso Niella and David Paramo and Javier Rodriguez-Laguna},
  journal= {arXiv preprint arXiv:chao-dyn/9808012},
  year   = {2007}
}

Comments

LaTeX, 13 pages. GIF figures included