https://doi.org/10.1140/epjs/s11734-025-01873-9
Regular Article
Influence of nonlinearity on the synchronization of two coupled parametric self-oscillators
Institute of Physics, Saratov State University, Universitetskaya Street 40, 410012, Saratov, Saratov Oblast, Russia
a
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Received:
14
April
2025
Accepted:
17
August
2025
Published online:
2
September
2025
Abstract
The study of interaction between two parametrically excited van der Pol–Mathieu–Duffing oscillators is conducted. We have shown the influence of parametric impact and cubic nonlinearity on the synchronization of oscillators and their behavior. An increase in the cubic nonlinearity coefficient leads to a decrease in the synchronization threshold and to a shift in the regions of parametric oscillations due to the shift in the resonance characteristics of partial oscillators. At the large values of the cubic nonlinearity coefficients a fractal structure is formed from the tongues of two-frequency tori on the boundary of the synchronization area.
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Ivan Korneev and Andrei Slepnev contributed equally to this work.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
