Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

For citation:

Moskalenko O. I., Hanadeev V. A. Influence of noise on generalized synchronization in systems with a complex topology of attractor. Izvestiya of Saratov University. Physics , 2021, vol. 21, iss. 3, pp. 233-241. DOI: 10.18500/1817-3020-2021-21-3-233-241, EDN: VMCYEM

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
31.08.2021
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Language: 
Russian
Heading: 
Radiophysics, electronics, acoustics
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/1817-3020-2021-21-3-233-241
EDN: 
VMCYEM

Influence of noise on generalized synchronization in systems with a complex topology of attractor

Autors: 
Moskalenko Olga Igorevna, Saratov State University
Hanadeev Vladislav Andreevich, Saratov State University
Abstract: 

Background and Objectives: The goal of the paper is to study the influence of noise on generalized synchronization in unidirectionally coupled systems with a complex topology of attractor. As the systems under study, two models of chaotic systems with two-sheeted topologies of attractors such as Lorenz and Chen systems are considered. Materials and Methods: For the synchronous regime detection the method of calculating the spectrum of Lyapunov exponents for coupled systems and the auxiliary system approach are used. Results: It has been shown that the dependences of the threshold for the onset of the generalized synchronization regime on the noise intensity do not practically change both for Lorenz and Chen systems. Conclusion: Using the examples of Lorenz oscillators and Chen systems we have found that the generalized synchronization regime in systems with a complex topology of attractor is stable to external noise. This behavior of systems is determined by the weak influence of noise on the structure of attractors of interacting systems, which is confirmed by constructing their phase portraits for different values of the noise intensity

Key words: 
generalized synchronization
auxiliary system approach
calculation of the spectrum of Lyapunov exponents
noise
complex topology of attractor
Acknowledgments: 
This work was funded by the Grant Council of the President of the Russian Federation for the state support of young Russian scientists – doctors of sciences (project No. MD-21.2020.2).
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Received: 
23.02.2021
Accepted: 
26.04.2021
Published: 
31.08.2021
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