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Hartley’s oscillator: The simplest chaotic two-component circuit

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  • Tchitnga, Robert
  • Fotsin, Hilaire Bertrand
  • Nana, Bonaventure
  • Louodop Fotso, Patrick Hervé
  • Woafo, Paul

Abstract

This paper shows an experimental evidence of chaos in one of the simplest imaginable autonomous implicit Hartley’s oscillator made simply of a junction field effect transistor (JFET) and a tapped coil. The experimental setup is implemented. The variations of amplitude of the oscillations through the control element are obtained showing the domain of existence of chaos. Phase portraits of the PSpice simulation, of the numerical integration and of the experiment are displayed, confirming a good agreement between theory and praxis.

Suggested Citation

  • Tchitnga, Robert & Fotsin, Hilaire Bertrand & Nana, Bonaventure & Louodop Fotso, Patrick Hervé & Woafo, Paul, 2012. "Hartley’s oscillator: The simplest chaotic two-component circuit," Chaos, Solitons & Fractals, Elsevier, vol. 45(3), pages 306-313.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:3:p:306-313
    DOI: 10.1016/j.chaos.2011.12.017
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    References listed on IDEAS

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    1. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2008. "The missing memristor found," Nature, Nature, vol. 453(7191), pages 80-83, May.
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    2. Minati, Ludovico & Innocenti, Giacomo & Mijatovic, Gorana & Ito, Hiroyuki & Frasca, Mattia, 2022. "Mechanisms of chaos generation in an atypical single-transistor oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. Nepomuceno, Erivelton G. & Lima, Arthur M. & Arias-García, Janier & Perc, Matjaž & Repnik, Robert, 2019. "Minimal digital chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 62-66.
    4. Tchitnga, R. & Mezatio, B.A. & Fozin, T. Fonzin & Kengne, R. & Louodop Fotso, P.H. & Fomethe, A., 2019. "A novel hyperchaotic three-component oscillator operating at high frequency," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 166-180.
    5. Njitacke, Z.T. & kengne, J. & Kengne, L. Kamdjeu, 2017. "Antimonotonicity, chaos and multiple coexisting attractors in a simple hybrid diode-based jerk circuit," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 77-91.
    6. Zhang, Shenghai & Luo, Shaohua & He, Shaobo & Ouakad, Hassen M., 2022. "Analog circuit implementation and adaptive neural backstepping control of a network of four Duffing-type MEMS resonators with mechanical and electrostatic coupling," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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