A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System. (26th July 2017)

• Record Type: Journal Article
• Authors: Méndez-Ramírez, Rodrigo; Arellano-Delgado, Adrian; Cruz-Hernández, César; Martínez-Clark, Rigoberto
• Other Names: Innocenti Giacomo Academic Editor.
• Is Part Of: Complexity. Volume 2017(2017)
• Publication Date: 2017-07-26
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2017/6820492
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : 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).