منابع مشابه
ON CHAOS OF A CUBIC p-ADIC DYNAMICAL SYSTEM
In the paper we describe basin of attraction of the p-adic dynamical system f(x) = x + ax. Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs. Mathematics Subject Classification: 37E99, 37B25, 54H20, 12J12.
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In the framework of adelic approach we consider real and p-adic properties of dynamical system given by linear fractional map f(x) = (ax + b)/(cx + d), where a, b, c, and d are rational numbers. In particular, we investigate behavior of this adelic dynamical system when fixed points are rational. It is shown that any of rational fixed points is p-adic indifferent for all but a finite set of pri...
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The automaton transformation of infinite words over alphabet Fp = {0, 1, . . . , p− 1}, where p is a prime number, coincide with the continuous transformation (with respect to the p-adic metric) of a ring Zp of p-adic integers. The objects of the study are non-Archimedean dynamical systems generated by automata mappings on the space Zp. Measure-preservation (with the respect to the Haar measure...
متن کاملON THE CHAOTIC BEHAVIOR OF A GENERALIZED LOGISTIC p-ADIC DYNAMICAL SYSTEM
In the paper we describe basin of attraction p-adic dynamical system G(x) = (ax)(x+ 1). Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs. Mathematics Subject Classification: 37E99, 37B25, 54H20, 12J12.
متن کاملP-adic Continued Fractions and a P-adic Behavior of Quasi-periodic Dynamical Systems
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ژورنال
عنوان ژورنال: P-Adic Numbers, Ultrametric Analysis, and Applications
سال: 2014
ISSN: 2070-0466,2070-0474
DOI: 10.1134/s207004661401004x