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A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System

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  • Rodrigo Méndez-Ramírez
  • Adrian Arellano-Delgado
  • César Cruz-Hernández
  • Rigoberto Martínez-Clark

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).

Suggested Citation

  • Rodrigo Méndez-Ramírez & Adrian Arellano-Delgado & César Cruz-Hernández & Rigoberto Martínez-Clark, 2017. "A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System," Complexity, Hindawi, vol. 2017, pages 1-13, July.
    • Handle: RePEc:hin:complx:6820492
    DOI: 10.1155/2017/6820492
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    References listed on IDEAS

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    1. Wu, Jiening & Wang, Lidan & Chen, Guanrong & Duan, Shukai, 2016. "A memristive chaotic system with heart-shaped attractors and its implementation," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 20-29.
    2. Alexandre L’Her & Pablo Amil & Nicolás Rubido & Arturo C. Marti & Cecilia Cabeza, 2016. "Electronically-implemented coupled logistic maps," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(3), pages 1-8, March.
    3. C. Gissinger, 2012. "A new deterministic model for chaotic reversals," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(4), pages 1-12, April.
    4. W.T.M. Verkley & C.A. Severijns, 2014. "The maximum entropy principle applied to a dynamical system proposed by Lorenz," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(1), pages 1-20, January.
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    Cited by:

    1. Nwachioma, Christian & Pérez-Cruz, J. Humberto, 2021. "Analysis of a new chaotic system, electronic realization and use in navigation of differential drive mobile robot," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).

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