Journal of Radio Electronics. eISSN 1684-1719. 2023. ¹12
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DOI: https://doi.org/10.30898/1684-1719.2023.12.1

 

 

BIFURCATION ANALYSIS OF THE STRUCTURE
OF COMPLETE SYNCHRONIZATION OF THE SYSTEM
OF NON-IDENTICAL JOSEPHSON JUNCTIONS

 

A.P. Kuznetsov, I.R. Sataev

 

Kotelnikov IRE RAS, Saratov Branch

410019, Russia, Saratov, Zelenaya str., 38

 

The paper was received November 28, 2023.

 

Abstract. The structure of the region of complete synchronization of a system of three connected Josephson junctions, non-identical in critical currents, was studied by the method of bifurcation analysis. On the plane of non-identity parameters, lines of saddle-node bifurcations, Neumark-Sacker bifurcations and period doublings were found, corresponding to a typical synchronization region. The influence of symmetry on the structure of the region of complete synchronization has been studied. In the system, under certain conditions, pitchfork bifurcation and associated bistability are possible. Bogdanov-Takens points, cusp points and fold-flip points are also indicated. The accumulation of points of the latter type is discussed based on cycles of doubling periods near the boundary of the synchronization and chaos regions.

Key words: Josephson junction, phase, bifurcations.

Financing: The research was carried out within the state assignment FFWZ-2022-0001

Corresponding author: Sataev Igor Rustamovich, sataevir@gmail.com

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For citation:

Kuznetsov A.P., Sataev I.R. Bifurcation analysis of the structure of complete synchronization of the system of non-identical Josephson junctions. // Journal of Radio Electronics. – 2023. – ¹. 12. https://doi.org/10.30898/1684-1719.2023.12.1 (In Russian)