Analysis of three non-identical Josephson junctions by the method of Lyapunov exponents charts
Chaotic Dynamics
2021-11-24 v1
Abstract
A system of three non-identical Josephson junctions connected via an RLC circuit is considered. The method of Lyapunov exponents charts is used, which makes it possible to identify the main types of dynamics of the system and to analyze the dependence of its properties on parameters. The possibility of both two and three-frequency invariant tori is demonstrated. Saddle-node bifurcations of resonant tori are studied with the use of instantaneous Lyapunov exponents. The dependence of the charts on the type of coupling in the system is discussed.
Keywords
Cite
@article{arxiv.2111.11936,
title = {Analysis of three non-identical Josephson junctions by the method of Lyapunov exponents charts},
author = {Alexander P. Kuznetsov and Igor R. Sataev and Pavel V. Kuptsov and Yuliya V. Sedova},
journal= {arXiv preprint arXiv:2111.11936},
year = {2021}
}
Comments
17 pages, 9 figures, 1 table