Geodesic
Attractor and Repeller Points for a~Several-Variable Analytic Dynamical System in a~Non-Archimedean Setting
Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 2, pp. 329-336

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We study discrete several-variable analytic dynamical systems over a complete non-Archimedean field with a nontrivial valuation and give sufficient conditions for a fixed point of the system to be an attractor, a repeller, or an indifferent point.
Keywords: $p$-adic numbers, non-Archimedean dynamical system, fixed point, attractor, repeller, Siegel disk. 
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     author = {J. Aguayo and M. Saavedra and M. Wallace},
     title = {Attractor and {Repeller} {Points} for {a~Several-Variable} {Analytic} {Dynamical} {System} in {a~Non-Archimedean} {Setting}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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J. Aguayo; M. Saavedra; M. Wallace. Attractor and Repeller Points for a~Several-Variable Analytic Dynamical System in a~Non-Archimedean Setting. Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 2, pp. 329-336. http://geodesic.mathdoc.fr/item/TMF_2004_140_2_a10/