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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Main Authors: Rodrigo Méndez-Ramírez, Adrian Arellano-Delgado, César Cruz-Hernández, Rigoberto Martínez-Clark
Format: Article
Language:English
Published: Wiley 2017-01-01
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
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institution Kabale University
issn 1076-2787
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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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