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Received 16.12.2024

Revised 17.05.2025

Accepted 24.06.2025

Retrieved from Iss. 117, P. 2, 2025

Pages 340 -351

  • 196 Views

Suggested citation

Artemenko, V., & Petrovych, V. (2025). APPLICATION OF SUPERREGENERATIVE RECEIVERS IN ENVIRONMENTAL STUDIES (MONITORING). Automobile Roads and Road Construction, (117.2), 340-351. https://doi.org/10.33744/0365-8171-2025-117.2-340-351

APPLICATION OF SUPERREGENERATIVE RECEIVERS IN ENVIRONMENTAL STUDIES (MONITORING)

Vladyslav Artemenko Volodymyr Petrovych

Abstract

A nonlinear model describing the operation of a superregenerator with external quenching has been developed. In order to identify the relationship between the phenomenon of superregeneration and the phenomenon of deterministic chaos, local and global Lyapunov exponent were used. It is classically accepted to judge the presence or absence of deterministic chaos in a dynamic system by the sign of the main global Lyapunov exponent. The value of the main global Lyapunov exponent during the operation of the superregenerator ALWAYS has a negative value, which indicates the absence of deterministic chaos during the implementation of the superregenerative mode. But the value of the main local Lyapunov exponent during the operation of the superregenerator for short periods of time still acquires positive values, which indicates outbreaks of local chaos during the implementation of the superregenerative mode. And the fact that during the operation of the superregenerator the value of the main local Lyapunov exponent for short periods of time still acquires positive values speaks of the deep connection of superregeneration with deterministic chaos. Also, during the research, we found that in the linear and nonlinear operating modes of the superregenerator, there is a significant difference in the magnitude of the values of the main global Lyapunov exponent, which allows us to clearly distinguish between these modes

Keywords:

environment, monitoring, superregenerative receivers, lyapunov exponents, operating modes of the superregenerator

References

  1. Armstrong, E.H. (1922). Some recent developments in regenerative circuits. Proceedings of the Institute of Radio Engineers, 10(8), 144-260.
  2. Leenaerts, D.M.W. (1996). Chaotic behavior in super regenerative detectors. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 43(3), 169-176.
  3. Leenaerts, D. (2001). Integrated transceiver design: Non-linear dynamic issues. In Proceedings of NDES (Nonlinear Dynamics of Electronic Systems).
  4. Commerçon, J.-C., & Badard, R. (2005). “Chaos” in superregenerative receivers. Chaos, Solitons & Fractals, 23(4), 1267-1274.
  5. Artemenko, V.A., & Petrovych, V.V. (2023). Application of a chaotic superregenerator in monitoring tasks (Part 1). Automobile Roads and Road Construction, 114(Part 1), 208-229.
  6. Artemenko, V.A., & Petrovych, V.V. (2024). Application of a chaotic superregenerator in monitoring tasks (Part 2). Automobile Roads and Road Construction, 115(Part 2), 245-263.
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https://doi.org/10.33744/0365-8171-2025-117.2-340-351

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