p-Adic Dynamical Systems of the Function ax/x 2 + a

We show that any (1, 2)-rational function with a unique fixed point is topologically conjugate to a (2, 2)-rational function or to the function f(x) = ax/x2 + a. The case (2, 2) was studied in our previous paper, here we study the dynamical systems generated by the function f on the set of complex p...

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Veröffentlicht in:	P-adic numbers, ultrametric analysis, and applications ultrametric analysis, and applications, 2019-01, Vol.11 (1), p.77-87
Hauptverfasser:	Rozikov, U A, Sattarov, I A, Yam, S
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical systems Fixed points (mathematics) Invariants Orbits Rational functions
Online-Zugang:	Volltext
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