On a class of rational p-adic dynamical systems

Murod Khamraev; Farrukh Mukhamedov

doi:10.1016/j.jmaa.2005.08.041

On a class of rational p-adic dynamical systems

Murod Khamraev, Farrukh Mukhamedov

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

In this paper we investigate the behavior of trajectories of one class of rational p-adic dynamical systems in complex p-adic field ℂ_p. We studied Siegel disks and attractors of such dynamical systems. We found the basin of the attractor of the system. It is proved that such dynamical systems are not ergodic on a unit sphere with respect to the Haar measure.

Original language	English
Pages (from-to)	76-89
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	315
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2005.08.041
Publication status	Published - Mar 1 2006
Externally published	Yes

Keywords

Attractors
Complex p-adic field
Ergodicity
Rational dynamics
Siegel disk

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2005.08.041

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AB - In this paper we investigate the behavior of trajectories of one class of rational p-adic dynamical systems in complex p-adic field ℂp. We studied Siegel disks and attractors of such dynamical systems. We found the basin of the attractor of the system. It is proved that such dynamical systems are not ergodic on a unit sphere with respect to the Haar measure.

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KW - Complex p-adic field

KW - Ergodicity

KW - Rational dynamics

KW - Siegel disk

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On a class of rational p-adic dynamical systems

Abstract

Keywords

ASJC Scopus subject areas

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