Connectedness of the Arnold tongues for double standard maps

• Autores: Alexandre Dezotti
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3569-3583
• Idioma: inglés
• DOI: 10.1090/s0002-9939-10-10355-4
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• Resumen

  • We show that Arnold tongues for the family of double standard maps are connected. This proof is accomplished in the complex domain by means of quasiconformal techniques and depends partly upon the fact that the complexification of , has only one critical orbit taking symmetry into account.