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Simplest transistor-based chaotic circuit with extreme events: Statistical characterization, synchronization, and analogy with interictal spikes

Author

Listed:
  • Kamdjeu Kengne, Léandre
  • Folifack Signing, Vitrice Ruben
  • Rossi Sebastiano, Davide
  • Wafo Tekam, Raoul Blaise
  • Ngamsa Tegnitsap, Joakim Vianney
  • Zhao, Manyu
  • Bao, Qingshi
  • Kengne, Jacques
  • Valdes-Sosa, Pedro Antonio
  • Minati, Ludovico

Abstract

This paper investigates the simplest autonomous chaotic circuit capable of generating extreme events, comprising a DC voltage source, a series resistor, a capacitor, three inductors, and two bipolar transistors. The statistical properties and synchronization of the extreme events generated by the system are characterized using a simplified equation model, realistic SPICE simulations, and experimental circuit measurements. Heavy-tailed amplitude distributions and Poisson-like inter-event intervals are uncovered, confirming the existence and uncorrelated nature of the extreme events generated in this elementary circuit. Furthermore, a regime is identified where the extreme events synchronize significantly more strongly than the underlying lower-amplitude continuous activity that paces the dynamics, and a novel approach to visualize this situation is introduced. By drawing a tentative parallel with the interictal spikes observed in the neuroelectrical recordings of epilepsy patients, the study proposes that the analog chaotic circuit under consideration could, in the future, serve as a physical model for studying epileptic-like dynamics in electronic networks.

Suggested Citation

  • Kamdjeu Kengne, Léandre & Folifack Signing, Vitrice Ruben & Rossi Sebastiano, Davide & Wafo Tekam, Raoul Blaise & Ngamsa Tegnitsap, Joakim Vianney & Zhao, Manyu & Bao, Qingshi & Kengne, Jacques & Vald, 2025. "Simplest transistor-based chaotic circuit with extreme events: Statistical characterization, synchronization, and analogy with interictal spikes," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
  • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014462
    DOI: 10.1016/j.chaos.2024.115894
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