Compact Analog Chaotic Map Designs Using SOI Four-Gate Transistors

This work introduces three novel chaotic map circuits. Two of the map circuits use two <inline-formula> <tex-math notation="LaTeX">$p$ </tex-math></inline-formula>-channel and one <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math>...

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Main Authors: Maisha Sadia, Partha Sarathi Paul, Md. Sakib Hasan
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10167651/
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author Maisha Sadia
Partha Sarathi Paul
Md. Sakib Hasan
author_facet Maisha Sadia
Partha Sarathi Paul
Md. Sakib Hasan
author_sort Maisha Sadia
collection DOAJ
description This work introduces three novel chaotic map circuits. Two of the map circuits use two <inline-formula> <tex-math notation="LaTeX">$p$ </tex-math></inline-formula>-channel and one <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-channel silicon-on-insulator (SOI) four-gate transistor (G <sup>4</sup>FET) while the third design uses two <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-channel and one <inline-formula> <tex-math notation="LaTeX">$p$ </tex-math></inline-formula>-channel G <sup>4</sup>FET. The multi-gate structure of G <sup>4</sup>FET is leveraged to obtain four independent bifurcation parameters in the chaotic map with a simple three-transistor design. A chaotic oscillator design is proposed using this discrete-time chaotic map circuit, and the chaotic behavior is evaluated using bifurcation plot, Lyapunov exponent (LE), Correlation coefficient, Shannon entropy, and Stability analysis. The application of this multi-parameter chaotic oscillator is presented in a chaos-based reconfigurable logic gate, and the significant expansion of parameter design space compared to existing single-gate transistor-based maps is also demonstrated. Finally, a simple extension scheme for developing multi-dimensional robust chaotic map with even larger parameter space is presented and verified with specific instances of 2-D and 3-D maps.
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spelling doaj.art-0fc2f29083cf4687ae11e2e4f4e86ec12023-07-04T23:00:30ZengIEEEIEEE Access2169-35362023-01-0111647826479510.1109/ACCESS.2023.329013310167651Compact Analog Chaotic Map Designs Using SOI Four-Gate TransistorsMaisha Sadia0https://orcid.org/0000-0003-1854-8739Partha Sarathi Paul1https://orcid.org/0000-0002-8868-5854Md. Sakib Hasan2https://orcid.org/0000-0002-4792-6236Department of Electrical and Computer Engineering, The University of Mississippi, Oxford, MS, USADepartment of Electrical and Computer Engineering, The University of Mississippi, Oxford, MS, USADepartment of Electrical and Computer Engineering, The University of Mississippi, Oxford, MS, USAThis work introduces three novel chaotic map circuits. Two of the map circuits use two <inline-formula> <tex-math notation="LaTeX">$p$ </tex-math></inline-formula>-channel and one <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-channel silicon-on-insulator (SOI) four-gate transistor (G <sup>4</sup>FET) while the third design uses two <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-channel and one <inline-formula> <tex-math notation="LaTeX">$p$ </tex-math></inline-formula>-channel G <sup>4</sup>FET. The multi-gate structure of G <sup>4</sup>FET is leveraged to obtain four independent bifurcation parameters in the chaotic map with a simple three-transistor design. A chaotic oscillator design is proposed using this discrete-time chaotic map circuit, and the chaotic behavior is evaluated using bifurcation plot, Lyapunov exponent (LE), Correlation coefficient, Shannon entropy, and Stability analysis. The application of this multi-parameter chaotic oscillator is presented in a chaos-based reconfigurable logic gate, and the significant expansion of parameter design space compared to existing single-gate transistor-based maps is also demonstrated. Finally, a simple extension scheme for developing multi-dimensional robust chaotic map with even larger parameter space is presented and verified with specific instances of 2-D and 3-D maps.https://ieeexplore.ieee.org/document/10167651/Chaoschaotic oscillatordiscrete chaotic mapG4FEThardware securitynonlinear dynamics
spellingShingle Maisha Sadia
Partha Sarathi Paul
Md. Sakib Hasan
Compact Analog Chaotic Map Designs Using SOI Four-Gate Transistors
IEEE Access
Chaos
chaotic oscillator
discrete chaotic map
G4FET
hardware security
nonlinear dynamics
title Compact Analog Chaotic Map Designs Using SOI Four-Gate Transistors
title_full Compact Analog Chaotic Map Designs Using SOI Four-Gate Transistors
title_fullStr Compact Analog Chaotic Map Designs Using SOI Four-Gate Transistors
title_full_unstemmed Compact Analog Chaotic Map Designs Using SOI Four-Gate Transistors
title_short Compact Analog Chaotic Map Designs Using SOI Four-Gate Transistors
title_sort compact analog chaotic map designs using soi four gate transistors
topic Chaos
chaotic oscillator
discrete chaotic map
G4FET
hardware security
nonlinear dynamics
url https://ieeexplore.ieee.org/document/10167651/
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AT parthasarathipaul compactanalogchaoticmapdesignsusingsoifourgatetransistors
AT mdsakibhasan compactanalogchaoticmapdesignsusingsoifourgatetransistors