Nous donnons des conditions suffisantes pour que l'intersection entre les frontières de deux bassins immédiats attractifs d'une fraction rationnelle contienne au moins un point périodique.
We give conditions under which the intersection between two attracting immediate basins boundaries of a rational map contains at least one periodic point.
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@article{CRMATH_2017__355_2_222_0, author = {Rossetti, Bastien}, title = {Periodic points in the intersection of attracting immediate basins boundaries}, journal = {Comptes Rendus. Math\'ematique}, pages = {222--225}, publisher = {Elsevier}, volume = {355}, number = {2}, year = {2017}, doi = {10.1016/j.crma.2016.09.004}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2016.09.004/} }
TY - JOUR AU - Rossetti, Bastien TI - Periodic points in the intersection of attracting immediate basins boundaries JO - Comptes Rendus. Mathématique PY - 2017 SP - 222 EP - 225 VL - 355 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2016.09.004/ DO - 10.1016/j.crma.2016.09.004 LA - en ID - CRMATH_2017__355_2_222_0 ER -
%0 Journal Article %A Rossetti, Bastien %T Periodic points in the intersection of attracting immediate basins boundaries %J Comptes Rendus. Mathématique %D 2017 %P 222-225 %V 355 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2016.09.004/ %R 10.1016/j.crma.2016.09.004 %G en %F CRMATH_2017__355_2_222_0
Rossetti, Bastien. Periodic points in the intersection of attracting immediate basins boundaries. Comptes Rendus. Mathématique, Tome 355 (2017) no. 2, pp. 222-225. doi : 10.1016/j.crma.2016.09.004. http://archive.numdam.org/articles/10.1016/j.crma.2016.09.004/
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