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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2025 Volume 51, Issue 8, Pages 45–49 (Mi pjtf7554)

Coupled chaotic generator and multi-frequency quasi-periodic system

A. P. Kuznetsov, L. V. Turukina

Saratov Branch, Kotel'nikov Institute of Radio-Engineering and Electronics, Russian Academy of Sciences

Abstract: The interaction of the system with chaos (Kislov–Dmitriev generator) and multi-frequency quasi-periodic oscillations (ensemble of van der Pol generators) is considered. Bifurcations of doubling of a high-dimensional invariant torus and the emergence of chaos upon its destruction are revealed. A cascade of specific bifurcations of a chaotic attractor has been discovered, corresponding to the appearance of a different number of additional zero Lyapunov exponents. The stability of the Landau-Hopf scenario during interaction with a chaotic subsystem is shown.

Keywords: chaotic generator, quasi-periodicity, Lyapunov exponents, bifurcations.

Received: 20.06.2024
Revised: 23.12.2024
Accepted: 23.12.2024

DOI: 10.61011/PJTF.2025.08.60163.20030



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© Steklov Math. Inst. of RAS, 2025