On the barycenter of the tent map

• Autores: Kuo-Chang Chen, Xun Dong
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 4025-4035
• Idioma: inglés
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• Resumen

  • It is well known that the average position or barycenter of generic orbits for the standard tent map is . Periodic orbits are exceptional orbits in the sense that most of them have barycenters different from . In this paper we prove that for any positive integer , there exist distinct periodic orbits for the standard tent map with the same barycenter. We also provide some patterns of periodic orbits with the same barycenter.