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Stabilizing antiperiodic oscillations in Chua’s circuit using periodic forcing

Author

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  • Singla, Tanu
  • Parmananda, P.
  • Rivera, M.

Abstract

Antiperiodic oscillations (AO) have already been reported in an independent Chua’s circuit (Singla et al. 2015 [1]). Islands corresponding to AO with different periodicities were reported in this paper. In the present work, we demonstrate that these oscillations can also be stabilized in a Chua’s circuit if it is perturbed with an external periodic forcing. To stabilize AO, parameters of the autonomous Chua’s circuit were fixed in the neighborhood of the islands of AO such that the circuit exhibited chaotic dynamics. Sinusoidal forcing signal with different amplitudes and frequencies was then used to perturb the circuit. It was observed that the lowest frequency of the perturbation required to stabilize AO coincided with the fundamental frequency of the stabilized AO. Furthermore, higher frequencies of the perturbation coincided with the harmonic frequencies of the AO. This suggests that the frequency of the periodic perturbation plays an important role in stabilizing AO in the Chua’s circuit. Both simulations and experimental results have been presented.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:107:y:2018:i:c:p:128-134
    DOI: 10.1016/j.chaos.2017.12.028
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    Cited by:

    1. Rocha, Ronilson & Medrano-T, Rene Orlando, 2022. "Chua circuit based on the exponential characteristics of semiconductor devices," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Hamid, Syeda Rabiya & Nazir, Muhammad Shahid & Rehan, Muhammad & ur Rashid, Haroon, 2019. "New results on regional observer-based stabilization for locally Lipchitz nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 173-184.

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