Retrieved from Iss. 117, P. 2, 2025
Pages 340 -351
Received 16.12.2024
Revised 17.05.2025
Accepted 24.06.2025
Retrieved from Iss. 117, P. 2, 2025
Pages 340 -351
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