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Chua circuit based on the exponential characteristics of semiconductor devices

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  • Rocha, Ronilson
  • Medrano-T, Rene Orlando

Abstract

The use of non-ideal features of semiconductor devices is an interesting option for implementations of nonlinear electronic systems. This paper analyzes the Chua circuit with nonlinearity based on the exponential hyperbolic characteristics of semiconductor devices. The stability analysis using describing functions predicts the dynamics of this nonlinear system, which is corroborated by numerical investigations and experimental results. The dynamic behaviors and bifurcations of this nonlinear system are mapped in parameter space in order to create a base for studies, analyses, and designs. The dynamic behavior of the experimental high speed implementation of this version of Chua circuit differs from the expected dynamics for a conventional Chua circuit due to effects of unmodelled non-idealities of the real semiconductor devices, displaying that new and different dynamics for the Chua circuit can be obtained exploring different nonlinearities.

Suggested Citation

  • Rocha, Ronilson & Medrano-T, Rene Orlando, 2022. "Chua circuit based on the exponential characteristics of semiconductor devices," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077921011152
    DOI: 10.1016/j.chaos.2021.111761
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    References listed on IDEAS

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    1. 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.
    2. Singla, Tanu & Sinha, Tushar & Parmananda, P., 2015. "Antiperiodic oscillations in Chua’s circuits using conjugate coupling," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 212-217.
    3. Signing, V.R. Folifack & Kengne, J. & Pone, J.R. Mboupda, 2019. "Antimonotonicity, chaos, quasi-periodicity and coexistence of hidden attractors in a new simple 4-D chaotic system with hyperbolic cosine nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 187-198.
    4. Wang, Chunni & Liu, Zhilong & Hobiny, Aatef & Xu, Wenkang & Ma, Jun, 2020. "Capturing and shunting energy in chaotic Chua circuit," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    5. Singla, Tanu & Parmananda, P. & Rivera, M., 2018. "Stabilizing antiperiodic oscillations in Chua’s circuit using periodic forcing," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 128-134.
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    Cited by:

    1. Martini, Davide & Innocenti, Giacomo & Tesi, Alberto, 2022. "Detection of subcritical Hopf and fold bifurcations in an aeroelastic system via the Describing Function method," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Rocha, Ronilson & Medrano-T, Rene Orlando, 2023. "Stability analysis of the Chua’s circuit with generic odd nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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