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

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

Chaos, Solitons & Fractals, 2025, vol. 191, issue C

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.

Keywords: Chaotic oscillator; Extreme event; Interictal spikes; Minati-Frasca spiking circuit; Synchronization; Transistor (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014462

DOI: 10.1016/j.chaos.2024.115894

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