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Exploring an experimental analog Chua’s circuit

Author

Listed:
  • Flavio Prebianca

    (Departamento de Física, Universidade Federal do Paraná)

  • David W. C. Marcondes

    (Departamento de Física, Universidade do Estado de Santa Catarina)

  • Holokx A. Albuquerque

    (Departamento de Física, Universidade do Estado de Santa Catarina)

  • Marcus W. Beims

    (Departamento de Física, Universidade Federal do Paraná)

Abstract

In this work we carry out experimental studies of the paradigmatic Chua’s circuit using an approach of the analog computation instead of performing experiments in the canonical circuit. This means that we have built an electronic circuit that integrates (analog computation), in continuous time, the equations of motion of the canonical Chua’s circuit. The equations of motion of the analogical circuit are equivalent to the canonical circuit, so that the dynamical behaviour is the same. With this approach, we successfully obtain an experimental parameter plane using the largest Lyapunov exponent (here named Lyapunov diagram), directly calculated from the experimental time series, with a good precision, so that different types of dynamical behaviours were characterized in this diagram. Results are in very good agreement with numerical simulation with an additional Gaussian noise. The approach by analog computation used here can be extended to a wide range of dynamical systems, once that the analog circuit simulates, by circuitry implementation, the dynamics of these systems from an experimental point of view. Graphical abstract

Suggested Citation

  • Flavio Prebianca & David W. C. Marcondes & Holokx A. Albuquerque & Marcus W. Beims, 2019. "Exploring an experimental analog Chua’s circuit," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(6), pages 1-8, June.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:6:d:10.1140_epjb_e2019-100097-4
    DOI: 10.1140/epjb/e2019-100097-4
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    Cited by:

    1. Abhijit Ramalingam & Brock V. Stoddard, 2021. "Does reducing inequality increase cooperation?​," GRU Working Paper Series GRU_2021_022, City University of Hong Kong, Department of Economics and Finance, Global Research Unit.
    2. Mu Han & Zhikun Yin & Pengzhou Cheng & Xing Zhang & Shidian Ma, 2020. "Zero-knowledge identity authentication for internet of vehicles: Improvement and application," PLOS ONE, Public Library of Science, vol. 15(9), pages 1-18, September.
    3. Weisel, Ori & Zultan, Ro’i, 2021. "Perceptions of conflict: Parochial cooperation and outgroup spite revisited," Organizational Behavior and Human Decision Processes, Elsevier, vol. 167(C), pages 57-71.

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    Keywords

    Statistical and Nonlinear Physics;

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