Let be a local field, and where denotes the characteristic of the residue field. We prove that the minimal subsets of the dynamical system are cycles and describe the cycles of this system.
DOI : 10.5802/acirm.38
Mots clés : Dynamical systems, local fields
@article{ACIRM_2010__2_2_81_0, author = {Adam, David and Fares, Youssef}, title = {On the dynamics of $\varphi :x\rightarrow x^p +a$ in a local field}, journal = {Actes des rencontres du CIRM}, pages = {81--85}, publisher = {CIRM}, volume = {2}, number = {2}, year = {2010}, doi = {10.5802/acirm.38}, zbl = {06938586}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/acirm.38/} }
TY - JOUR AU - Adam, David AU - Fares, Youssef TI - On the dynamics of $\varphi :x\rightarrow x^p +a$ in a local field JO - Actes des rencontres du CIRM PY - 2010 SP - 81 EP - 85 VL - 2 IS - 2 PB - CIRM UR - http://archive.numdam.org/articles/10.5802/acirm.38/ DO - 10.5802/acirm.38 LA - en ID - ACIRM_2010__2_2_81_0 ER -
Adam, David; Fares, Youssef. On the dynamics of $\varphi :x\rightarrow x^p +a$ in a local field. Actes des rencontres du CIRM, Tome 2 (2010) no. 2, pp. 81-85. doi : 10.5802/acirm.38. http://archive.numdam.org/articles/10.5802/acirm.38/
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