Journal of Radio Electronics. eISSN 1684-1719. 2024. №10

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DOI: https://doi.org/10.30898/1684-1719.2024.10.2

COUPLED QUASI-PERIODIC GENERATORS

WITH DIFFERENT TYPES OF COUPLING (DISCRETE MODEL)

A.P. Kuznetsov, Yu.V. Sedova

Saratov Branch of Kotelnikov IRE RAS

410019, Russia, Saratov, Zelenaya str., 38

The paper was received June 14, 2024.

Abstract. In the paper we examine the regimes of two coupled radio-physical generators that exhibit quasi-periodic oscillations, with reactive, combined, and active types of coupling. In order to simplify the computer calculations, a discrete version of the system being investigated is introduced. Lyapunov exponent charts illustrating various regimes, including quasi-periodic oscillations with a different number of incommensurable frequencies, are presented. For a purely reactive coupling, in comparison to a dissipative one, there is no stable equilibrium regime, and the areas of two-frequency regimes are very small in size. For dissipative coupling, with the addition of a reactive component, the characteristic regimes at strong coupling are preserved. When the coupling is weak, five-frequency regimes disappear; they are replaced first by four-frequency, and then by three-frequency, chaotic and hyperchaotic ones. For reactive coupling with the addition of dissipative, the tongues of the three-frequency regimes do not have peaks, but occupy certain intervals on the frequency disorder axis. There is also no stable equilibrium for an active (repelling) coupling. A three-frequency area with a built-in set of resonant two-frequency tongues becomes typical, the overlap of which leads to chaos.

Key words: quasi-periodicity, chaos, Lyapunov exponents.

Financing: The research was carried out within the state assignment of Kotelnikov's Institute of Radio-Engineering and Electronics of Russian Academy of Sciences.

Corresponding author: Sedova Yulia Viktorovna, sedovayv@yandex.ru

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For citation:

Kuznetsov A.P., Sedova Yu.V. Coupled quasi-periodic generators with different types of coupling (discrete model) // Journal of Radio Electronics. – 2024. – №. 10. https://doi.org/10.30898/1684-1719.2024.10.2 (In Russian)