Chaotic noise MOS generator based on logistic map

Díaz-Méndez, Alejandro; Marquina-Pérez, J. V.; Cruz‐Irisson, M.; Vázquez-Medina, Rubén; Del-Rio-Correa, Jose Luis

doi:10.1016/j.mejo.2008.06.042

Cited by 13 publications

(6 citation statements)

References 9 publications

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“…Monolitik tümdevre gerçeklemelerinde denklem yapısına göre anahtarlamalı akım (AA) [9] ya da anahtarlamalı kapasitör (AK) [10] devreleri kullanılabilmektedir. Analog devre prototiplemede monolitik gerçeklemeye alternatif bir platform da SPAD devreleridir.…”

Section: Loji̇sti̇k Denklemi̇ni̇n Gerçeklenmesi̇unclassified

Field programmable analog array implementation of logistic map

Cicek

Pusane

Dündar

2013

2013 21st Signal Processing and Communications Applications Conference (SIU)

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Özetçe -Tek boyutlu kaotik bir fonksiyon olan lojistik denkleminin dogrusal olmayan dinamigi, istatistiksel ve spektral özellikleri MATLAB ortamında gerçekleştirilen sayısal benzetimler yardımıyla incelenmiştir. Lojistik denklemi için analog davranışsal bir model geliştirilmiş ve denklem ayrık zamanlı çalışan sahada programlanabilir analog dizi tümdevresi kullanılarak gerçeklenmiştir. Yapılan ölçümlerle tasarlanan devrenin kaotik davranış sergiledigi gözlemlenmiştir. Elde edilen sonuçlar sahada programlanabilir analog dizilerin ayrık zamanlı kaotik sistemlerin incelenmesinde ve kaotik işaret üretiminde kullanılabilecegini göstermiştir. Anahtar Kelimeler-Lojistik fonksiyon, Sahada programlanabilir analog diziler, Ayrık zamanlı kaos.Abstract-The non-linear dynamics of the chaotic 1D logistic map and its statistical and spectral properties are studied using MATLAB numerical simulations. We have developed an analog behavioral model and implemented logistic map on a field programmable analog array chip. Presented measurement results confirmed the chaotic behavior of the implemented system. Results show that field programmable analog arrays can be used to implement discrete time 1D maps for chaotic signal generation.

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Section: Loji̇sti̇k Denklemi̇ni̇n Gerçeklenmesi̇unclassified

Field programmable analog array implementation of logistic map

Cicek

Pusane

Dündar

2013

2013 21st Signal Processing and Communications Applications Conference (SIU)

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“…The applications of logistic map in engineering and technology are enormous. The focus of paper is on design of a chaotic noise generator governed by a logistic map [1]. The performance evaluation results demonstrate correct operation of the analog noise generating circuit system.…”

Section: Introductionmentioning

confidence: 99%

Observation of Different Behaviors of Logistic Map for Different Control Parameters

Akter¹,

Chowdhury²

2018

IJAMTP

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The logistic map is one of the most important but common examples of chaotic dynamics. The object shows the crucial belief of the deterministic chaos theory that brings a new procedural structure and apparatus for exploring and understanding complex behavior in dynamical systems. We put an importance on report of the Verhulst logistic map which is one of the potential models and methods for researching dynamical systems that could develop to chaotic. Chaotic signals present a special difficulty in parameter estimation. The difficulty arises from the definition of a chaotic system because of sensitive dependence on initial conditions. It is seen that very slight changes in the initial conditions cause significant effects in the evolution. In general the chaotic systems are nonlinear and apparently random but they are deterministic. The main objective of this paper is how can find the logistic map equation and investigated the chaotic behavior for the logistic equation by varying the control parameters and finally discover Lyaponov exponent, Bifurcation diagrams etc.

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“…In biology, this model can approximate the dynamics of many different birth/death processes [4]. In electronic communications and information science fields, the discrete-time logistic map can be used to generate a chaotic signal on chaosbased secure communication system designs [5], [6], or as a chaotic noise generator [7], among others. For instance, the logistic map can be employed to model some processes in chemistry [3], and so on.…”

Section: Introductionmentioning

confidence: 99%

A discrete-time chaotic oscillator based on the logistic map: A secure communication scheme and a simple experiment using Arduino

Acho

2015

Journal of the Franklin Institute

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Cite this article as: Leonardo Acho, A discrete-time chaotic oscillator based on the logistic map: A secure communication scheme and a simple experiment using Arduino, Journal of the Franklin Institute, http://dx.doi.org/10. 1016/j.jfranklin.2015.03.028 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. leonardo.acho@upc.edu AbstractThis paper presents a modified discrete-time chaotic system obtained from the standard logistic map model. Then, a secure communication system is given and numerical experiments are carry out using the conceived discrete-time chaotic oscillator. Moreover, an experiment of our chaotic model is realized using the Arduino-UNO board.

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Chaotic noise MOS generator based on logistic map

Cited by 13 publications

References 9 publications

Field programmable analog array implementation of logistic map

Field programmable analog array implementation of logistic map

Observation of Different Behaviors of Logistic Map for Different Control Parameters

A discrete-time chaotic oscillator based on the logistic map: A secure communication scheme and a simple experiment using Arduino

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