ON the self-similarity of the logistic map

Z. J. Grzywna; L. S. Liebovitch; Z. Siwy

ON the self-similarity of the logistic map

Z. J. Grzywna
, L. S. Liebovitch
, Z. Siwy

Department of Physical Chemistry and Technology of Polymers (RCH/RCH4)

Florida Atlantic University
Silesian University of Technology

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

1 Citation (Scopus)

Abstract

The self-similarity of a quadratic, one parameter logistic map was shown. Depending on the value of a constant, four different patterns were obtained and analysed. Only for the chaotic region (R = 4) the obtained patterns were almost independent of the resolution used (the frequency of probing). Some of the analytical operations used as standard tools in investigating the maps properties were also analysed and suitably altered, where necessary.

Original language	English
Pages (from-to)	449-466
Number of pages	18
Journal	Cellular and Molecular Biology Letters
Volume	2
Issue number	4
Publication status	Published - 1997

Keywords

Deterministic chaos
Ionic channels
Logistic map
Patch clamp
Self-similarity

ASJC Scopus subject areas

Biochemistry
Molecular Biology
Cell Biology

Cite this

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title = "ON the self-similarity of the logistic map",

abstract = "The self-similarity of a quadratic, one parameter logistic map was shown. Depending on the value of a constant, four different patterns were obtained and analysed. Only for the chaotic region (R = 4) the obtained patterns were almost independent of the resolution used (the frequency of probing). Some of the analytical operations used as standard tools in investigating the maps properties were also analysed and suitably altered, where necessary.",

keywords = "Deterministic chaos, Ionic channels, Logistic map, Patch clamp, Self-similarity",

author = "Grzywna, \{Z. J.\} and Liebovitch, \{L. S.\} and Z. Siwy",

year = "1997",

language = "English",

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pages = "449--466",

journal = "Cellular and Molecular Biology Letters",

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T1 - ON the self-similarity of the logistic map

AU - Grzywna, Z. J.

AU - Liebovitch, L. S.

AU - Siwy, Z.

PY - 1997

Y1 - 1997

N2 - The self-similarity of a quadratic, one parameter logistic map was shown. Depending on the value of a constant, four different patterns were obtained and analysed. Only for the chaotic region (R = 4) the obtained patterns were almost independent of the resolution used (the frequency of probing). Some of the analytical operations used as standard tools in investigating the maps properties were also analysed and suitably altered, where necessary.

AB - The self-similarity of a quadratic, one parameter logistic map was shown. Depending on the value of a constant, four different patterns were obtained and analysed. Only for the chaotic region (R = 4) the obtained patterns were almost independent of the resolution used (the frequency of probing). Some of the analytical operations used as standard tools in investigating the maps properties were also analysed and suitably altered, where necessary.

KW - Deterministic chaos

KW - Ionic channels

KW - Logistic map

KW - Patch clamp

KW - Self-similarity

UR - https://www.scopus.com/pages/publications/0038227578

M3 - Article

AN - SCOPUS:0038227578

SN - 1425-8153

VL - 2

SP - 449

EP - 466

JO - Cellular and Molecular Biology Letters

JF - Cellular and Molecular Biology Letters

IS - 4

ER -

ON the self-similarity of the logistic map

Abstract

Keywords

ASJC Scopus subject areas

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