Applying the Network Simulation Method for testing chaos in a resistively and capacitively shunted Josephson junction model

In this paper, we explore the chaotic behavior of resistively and capacitively shunted Josephson junctions via the so-called Network Simulation Method. Such a numerical approach establishes a formal equivalence among physical transport processes and electrical networks, and hence, it can be applied...

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Bibliographic Details
Published in:Results in physics 2017, Vol.7, p.813-822
Main Authors: Bellver, Fernando Gimeno, Garratón, Manuel Caravaca, Soto Meca, Antonio, López, Juan Antonio Vera, Guirao, Juan L.G., Fernández-Martínez, Manuel
Format: Article
Language:English
Subjects:
Chaos indicator
Electrical analogy
Fast Fourier Transform
Josephson junction
Network Simulation Method
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Summary:In this paper, we explore the chaotic behavior of resistively and capacitively shunted Josephson junctions via the so-called Network Simulation Method. Such a numerical approach establishes a formal equivalence among physical transport processes and electrical networks, and hence, it can be applied to efficiently deal with a wide range of differential systems. The generality underlying that electrical equivalence allows to apply the circuit theory to several scientific and technological problems. In this work, the Fast Fourier Transform has been applied for chaos detection purposes and the calculations have been carried out in PSpice, an electrical circuit software. Overall, it holds that such a numerical approach leads to quickly computationally solve Josephson differential models. An empirical application regarding the study of the Josephson model completes the paper.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2017.01.041