A polynomial p-adic dynamical system

F. M. Mukhamedov; U. A. Rozikov

doi:10.1007/s11232-012-0036-3

A polynomial p-adic dynamical system

F. M. Mukhamedov, U. A. Rozikov

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

7 Citations (Scopus)

Abstract

We completely describe the Siegel discs and attractors for the p-adic dynamical system f(x) = x ²ⁿ⁺¹ + ax ⁿ⁺¹ on the space of complex p-adic numbers.

Original language	English
Pages (from-to)	376-383
Number of pages	8
Journal	Theoretical and Mathematical Physics
Volume	170
Issue number	3
DOIs	https://doi.org/10.1007/s11232-012-0036-3
Publication status	Published - Mar 2012
Externally published	Yes

Keywords

Siegel disc
attractor
p-adic number
polynomial dynamical system

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11232-012-0036-3

Cite this

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title = "A polynomial p-adic dynamical system",

abstract = "We completely describe the Siegel discs and attractors for the p-adic dynamical system f(x) = x 2n+1 + ax n+1 on the space of complex p-adic numbers.",

keywords = "Siegel disc, attractor, p-adic number, polynomial dynamical system",

author = "Mukhamedov, {F. M.} and Rozikov, {U. A.}",

note = "Funding Information: This work was supported in part by the Abdus Salam International Center for Theoretical Physics (Tri-este, Italy), the International Mathematical Union Center for Development Exchange, and the Malaysian Ministry of Higher Education (Grant No. FRGS0409-109, F. M. M.).",

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doi = "10.1007/s11232-012-0036-3",

language = "English",

volume = "170",

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T1 - A polynomial p-adic dynamical system

AU - Mukhamedov, F. M.

AU - Rozikov, U. A.

N1 - Funding Information: This work was supported in part by the Abdus Salam International Center for Theoretical Physics (Tri-este, Italy), the International Mathematical Union Center for Development Exchange, and the Malaysian Ministry of Higher Education (Grant No. FRGS0409-109, F. M. M.).

PY - 2012/3

Y1 - 2012/3

N2 - We completely describe the Siegel discs and attractors for the p-adic dynamical system f(x) = x 2n+1 + ax n+1 on the space of complex p-adic numbers.

AB - We completely describe the Siegel discs and attractors for the p-adic dynamical system f(x) = x 2n+1 + ax n+1 on the space of complex p-adic numbers.

KW - Siegel disc

KW - attractor

KW - p-adic number

KW - polynomial dynamical system

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SP - 376

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JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 3

ER -

A polynomial p-adic dynamical system

Abstract

Keywords

ASJC Scopus subject areas

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