On the chaotic behavior of a generalized logistic p-adic dynamical system

Farrukh Mukhamedov; José F.F. Mendes

doi:10.1016/j.jde.2007.01.014

On the chaotic behavior of a generalized logistic p-adic dynamical system

Farrukh Mukhamedov
, José F.F. Mendes

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

13 Citations (Scopus)

Abstract

In the paper we describe basin of attraction p-adic dynamical system G (x) = (a x)² (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.

Original language	English
Pages (from-to)	125-145
Number of pages	21
Journal	Journal of Differential Equations
Volume	243
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2007.01.014
Publication status	Published - Dec 15 2007
Externally published	Yes

Keywords

Basin of attraction
Siegel disc
p-Adic dynamics

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jde.2007.01.014

Cite this

@article{25e11b43aa2543a2b26ac8a149309493,

title = "On the chaotic behavior of a generalized logistic p-adic dynamical system",

abstract = "In the paper we describe basin of attraction p-adic dynamical system G (x) = (a x)2 (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.",

keywords = "Basin of attraction, Siegel disc, p-Adic dynamics",

author = "Farrukh Mukhamedov and Mendes, \{Jos{\'e} F.F.\}",

note = "Funding Information: The first author (F.M.) thanks the FCT (Portugal) grant SFRH/BPD/17419/2004. Another author (J.F.F.M.) acknowledges projects POCTI/FAT/46241/2002, POCTI/MAT/46176/2002 and European research NEST project DYSONET/012911.",

year = "2007",

month = dec,

day = "15",

doi = "10.1016/j.jde.2007.01.014",

language = "English",

volume = "243",

pages = "125--145",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On the chaotic behavior of a generalized logistic p-adic dynamical system

AU - Mukhamedov, Farrukh

AU - Mendes, José F.F.

N1 - Funding Information: The first author (F.M.) thanks the FCT (Portugal) grant SFRH/BPD/17419/2004. Another author (J.F.F.M.) acknowledges projects POCTI/FAT/46241/2002, POCTI/MAT/46176/2002 and European research NEST project DYSONET/012911.

PY - 2007/12/15

Y1 - 2007/12/15

N2 - In the paper we describe basin of attraction p-adic dynamical system G (x) = (a x)2 (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.

AB - In the paper we describe basin of attraction p-adic dynamical system G (x) = (a x)2 (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.

KW - Basin of attraction

KW - Siegel disc

KW - p-Adic dynamics

UR - https://www.scopus.com/pages/publications/36048931097

UR - https://www.scopus.com/pages/publications/36048931097#tab=citedBy

U2 - 10.1016/j.jde.2007.01.014

DO - 10.1016/j.jde.2007.01.014

M3 - Article

AN - SCOPUS:36048931097

SN - 0022-0396

VL - 243

SP - 125

EP - 145

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

On the chaotic behavior of a generalized logistic p-adic dynamical system

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this