Symbolic Dynamics of a Piecewise Rotation: Case of the Non Symmetric Bijective Maps

• Bédaride, Nicolas ^[1] ; Kaboré, Idrissa ^[2]
  1. [1] Aix Marseille Université
  2. [2] Université Nazi Boni UFR Sciences et Techniques
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 17, Nº 3, 2018, págs. 651-664
• Idioma: inglés
• DOI: 10.1007/s12346-017-0267-7
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• Resumen

  • We consider a specific piecewise rotation of the plane that is continuous on two half-planes, as studied by some authors like Boshernitzan, Goetz and Quas. If the angle belongs to the set {π2,2π3,π4}, we give a complete description of the symbolic dynamics of this map in the non symmetric bijective case.

• Referencias bibliográficas
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  • 2. Bédaride, N., Kaboré, I.: Symbolic dynamics of a piecewise rotation: symmetric case. Arxiv preprint (2015)
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  • 5. Goetz, A., Quas, A.: Global properties of a family of piecewise isometries. Ergod. Theory Dyn. Syst. 29(2), 545–568 (2009)