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In particular, the reconstruction methodology leverages the synchronization between the analog circuit and its digital counterpart, enabling the digital replica to track the chaotic motion of the physical entity. As a case study, we consider an atypical electronic oscillator based on a single transistor and demonstrate that all its state variables can be reconstructed in real time with reasonable accuracy using a simplified digital model implemented on an embedded microcontroller. Despite the use of an approximate equation system, simplified for computational reasons, and minimal state measurements, our results indicate that even a moderate level of synchronization is sufficient for reconstruction, highlighting the robustness of the presented method to model simplifications, component nonidealities, and noise. Given the severe information constraints in real-world scenarios, particularly for telemetry, the proposed approach appears especially useful toward extracting information from scalar time series, obtaining an approximation of a complete observation of the system state. It is also relevant to developing digital models when the governing equations of the system are still not fully established, as well as supporting the interaction between physical and cybernetic systems.<\/jats:p>","DOI":"10.1142\/s0218127426500926","type":"journal-article","created":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T02:52:37Z","timestamp":1771987957000},"source":"Crossref","is-referenced-by-count":0,"title":["Real-Time State Reconstruction in a Single-Transistor Chaotic Oscillator Using a Microcontroller-Based Digital Model"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-7744-9788","authenticated-orcid":false,"given":"Qingshi","family":"Bao","sequence":"first","affiliation":[{"name":"Nano Sensing Research Unit, Institute of Innovative Research, Institute of Science Tokyo, 226-8503 Yokohama, Japan"},{"name":"School of Life Science and Technology, University of Electronic Science and Technology of China, 611731 Chengdu, P. R. 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