A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System
This paper presents a new three-dimensional autonomous chaotic system. The proposed system generates a chaotic attractor with the variation of two parameters. Analytical and numerical studies of the dynamic properties to generate chaos, for continuous version (CV) and discretized version (DV), for t...
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Format: | Article |
Language: | English |
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Wiley
2017-01-01
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2017/6820492 |
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author | Rodrigo Méndez-Ramírez Adrian Arellano-Delgado César Cruz-Hernández Rigoberto Martínez-Clark |
author_facet | Rodrigo Méndez-Ramírez Adrian Arellano-Delgado César Cruz-Hernández Rigoberto Martínez-Clark |
author_sort | Rodrigo Méndez-Ramírez |
collection | DOAJ |
description | This paper presents a new three-dimensional autonomous chaotic system. The proposed system generates a chaotic attractor with the variation of two parameters. Analytical and numerical studies of the dynamic properties to generate chaos, for continuous version (CV) and discretized version (DV), for the new chaotic system (NCS) were conducted. The CV of the NCS was implemented by using an electronic circuit with operational amplifiers (OAs). In addition, the presence of chaos for DV of the NCS was proved by using the analytical and numerical degradation tests; the time series was calculated to determine the behavior of Lyapunov exponents (LEs). Finally, the DV of NCS was implemented, in real-time, by using a novel embedded system (ES) Mikromedia Plus for PIC32MX7 that includes one microcontroller PIC32 and one thin film transistor touch-screen display (TFTTSD), together with external digital-to-analog converters (DACs). |
format | Article |
id | doaj-art-75dd95b008ac47938e3ab0b39e8defeb |
institution | Kabale University |
issn | 1076-2787 1099-0526 |
language | English |
publishDate | 2017-01-01 |
publisher | Wiley |
record_format | Article |
series | Complexity |
spelling | doaj-art-75dd95b008ac47938e3ab0b39e8defeb2025-02-03T05:45:19ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/68204926820492A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded SystemRodrigo Méndez-Ramírez0Adrian Arellano-Delgado1César Cruz-Hernández2Rigoberto Martínez-Clark3Electronics and Telecommunications Department, Scientific Research and Advanced Studies Center of Ensenada, Ensenada, BC, MexicoCONACYT-Autonomous Baja California University (UABC), Ensenada, BC, MexicoElectronics and Telecommunications Department, Scientific Research and Advanced Studies Center of Ensenada, Ensenada, BC, MexicoElectronics and Telecommunications Department, Scientific Research and Advanced Studies Center of Ensenada, Ensenada, BC, MexicoThis paper presents a new three-dimensional autonomous chaotic system. The proposed system generates a chaotic attractor with the variation of two parameters. Analytical and numerical studies of the dynamic properties to generate chaos, for continuous version (CV) and discretized version (DV), for the new chaotic system (NCS) were conducted. The CV of the NCS was implemented by using an electronic circuit with operational amplifiers (OAs). In addition, the presence of chaos for DV of the NCS was proved by using the analytical and numerical degradation tests; the time series was calculated to determine the behavior of Lyapunov exponents (LEs). Finally, the DV of NCS was implemented, in real-time, by using a novel embedded system (ES) Mikromedia Plus for PIC32MX7 that includes one microcontroller PIC32 and one thin film transistor touch-screen display (TFTTSD), together with external digital-to-analog converters (DACs).http://dx.doi.org/10.1155/2017/6820492 |
spellingShingle | Rodrigo Méndez-Ramírez Adrian Arellano-Delgado César Cruz-Hernández Rigoberto Martínez-Clark A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System Complexity |
title | A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System |
title_full | A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System |
title_fullStr | A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System |
title_full_unstemmed | A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System |
title_short | A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System |
title_sort | new simple chaotic lorenz type system and its digital realization using a tft touch screen display embedded system |
url | http://dx.doi.org/10.1155/2017/6820492 |
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