Corpus ID: 236154760

Anti-Integrability for 3-Dimensional Quadratic Maps

  title={Anti-Integrability for 3-Dimensional Quadratic Maps},
  author={Amanda Hampton and James D. Meiss},
We study the dynamics of the three-dimensional quadratic diffeomorphism using a concept first introduced thirty years ago for the Frenkel-Kontorova model of condensed matter physics: the anti-integrable (AI) limit. At the traditional AI limit, orbits of a map degenerate to sequences of symbols and the dynamics is reduced to the shift operator, a pure form of chaos. Under nondegeneracy conditions, a contraction mapping argument can show that infinitely many AI states continue to orbits of the… Expand


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