# On the dynamics of $\varphi :x\to {x}^{p}+a$ in a local field

Actes des rencontres du CIRM (2010)

- Volume: 2, Issue: 2, page 81-85
- ISSN: 2105-0597

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topAdam, David, and Fares, Youssef. "On the dynamics of $\varphi :x\rightarrow x^p +a$ in a local field." Actes des rencontres du CIRM 2.2 (2010): 81-85. <http://eudml.org/doc/196288>.

@article{Adam2010,

abstract = {Let $K$ be a local field, $a \in K$ and $\varphi :x\rightarrow x^p +a$ where $p$ denotes the characteristic of the residue field. We prove that the minimal subsets of the dynamical system $(K,\varphi )$ are cycles and describe the cycles of this system.},

author = {Adam, David, Fares, Youssef},

journal = {Actes des rencontres du CIRM},

keywords = {Dynamical systems; local fields},

language = {eng},

number = {2},

pages = {81-85},

publisher = {CIRM},

title = {On the dynamics of $\varphi :x\rightarrow x^p +a$ in a local field},

url = {http://eudml.org/doc/196288},

volume = {2},

year = {2010},

}

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

PB - CIRM

VL - 2

IS - 2

SP - 81

EP - 85

AB - Let $K$ be a local field, $a \in K$ and $\varphi :x\rightarrow x^p +a$ where $p$ denotes the characteristic of the residue field. We prove that the minimal subsets of the dynamical system $(K,\varphi )$ are cycles and describe the cycles of this system.

LA - eng

KW - Dynamical systems; local fields

UR - http://eudml.org/doc/196288

ER -

## References

top- D. Adam and Y. Fares, On two like-affine dynamical systems in a local field, preprint. Zbl1273.37046
- A.-H. Fan and Y. Fares, Minimal subsystems of affine dynamics on local fields, Arch. Math.96 (2011), 423–434. Zbl1214.11134MR2805346
- Y. Fares, Factorial preservation, Arch. Math.83 (2004), 497–506. Zbl1073.13011MR2105326

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