Spiral Waves in a Lattice Array of Josephson Junction Chaotic Oscillators with Flux Effects
Josephson junction devices play a significant role in various physical nonlinear systems because of their complex characteristics. Chaotic phenomenon in various types of Josephson junction devices has been widely reported, but many of those literature studies exempted the analysis into multistabilit...
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2021/8848914 |
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doaj-5588a98befda4ad298cc6ddcd5f091982021-02-15T12:53:09ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472021-01-01202110.1155/2021/88489148848914Spiral Waves in a Lattice Array of Josephson Junction Chaotic Oscillators with Flux EffectsBalamurali Ramakrishnan0Ramesh Ramamoorthy1Chunbiao Li2Akif Akgul3Karthikeyan Rajagopal4Chennai Institute of Technology, Chennai, Tamilnadu, IndiaChennai Institute of Technology, Chennai, Tamilnadu, IndiaJiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, ChinaDepartment of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University of Applied Sciences, Serdivan 54050, Sakarya, TurkeyNonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, VietnamJosephson junction devices play a significant role in various physical nonlinear systems because of their complex characteristics. Chaotic phenomenon in various types of Josephson junction devices has been widely reported, but many of those literature studies exempted the analysis into multistability and megastability features of the device. In this work, we investigate the network behaviour using a type of Josephson junction-memristor (JJM) device considering the feedback flux effects while modelling. We have considered both AC- and DC-type external excitation currents, and while considering the AC excitation, the system shows megastability (Ramakrishnan et al. 2020). When analysing the lattice layer network constructed with JJM excited by DC bias current, the network shows a turbulent behaviour thus forming spiral waves. This was not the case when we applied AC bias current for which the network showed a much pattern-like formation confirming localised areas of energy distribution. This energy distribution is due to the homogeneous states of the local nodes which are correlated by the respective periodicity plots. When we apply AC bias current with very low frequency, the network shows small areas of local spirals which are soon dissipated by the inhomogeneous nodes nearby. Thus, we could show that the external bias current plays an important role in the collective performance of the Josephson junction devices.http://dx.doi.org/10.1155/2021/8848914 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Balamurali Ramakrishnan Ramesh Ramamoorthy Chunbiao Li Akif Akgul Karthikeyan Rajagopal |
spellingShingle |
Balamurali Ramakrishnan Ramesh Ramamoorthy Chunbiao Li Akif Akgul Karthikeyan Rajagopal Spiral Waves in a Lattice Array of Josephson Junction Chaotic Oscillators with Flux Effects Mathematical Problems in Engineering |
author_facet |
Balamurali Ramakrishnan Ramesh Ramamoorthy Chunbiao Li Akif Akgul Karthikeyan Rajagopal |
author_sort |
Balamurali Ramakrishnan |
title |
Spiral Waves in a Lattice Array of Josephson Junction Chaotic Oscillators with Flux Effects |
title_short |
Spiral Waves in a Lattice Array of Josephson Junction Chaotic Oscillators with Flux Effects |
title_full |
Spiral Waves in a Lattice Array of Josephson Junction Chaotic Oscillators with Flux Effects |
title_fullStr |
Spiral Waves in a Lattice Array of Josephson Junction Chaotic Oscillators with Flux Effects |
title_full_unstemmed |
Spiral Waves in a Lattice Array of Josephson Junction Chaotic Oscillators with Flux Effects |
title_sort |
spiral waves in a lattice array of josephson junction chaotic oscillators with flux effects |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2021-01-01 |
description |
Josephson junction devices play a significant role in various physical nonlinear systems because of their complex characteristics. Chaotic phenomenon in various types of Josephson junction devices has been widely reported, but many of those literature studies exempted the analysis into multistability and megastability features of the device. In this work, we investigate the network behaviour using a type of Josephson junction-memristor (JJM) device considering the feedback flux effects while modelling. We have considered both AC- and DC-type external excitation currents, and while considering the AC excitation, the system shows megastability (Ramakrishnan et al. 2020). When analysing the lattice layer network constructed with JJM excited by DC bias current, the network shows a turbulent behaviour thus forming spiral waves. This was not the case when we applied AC bias current for which the network showed a much pattern-like formation confirming localised areas of energy distribution. This energy distribution is due to the homogeneous states of the local nodes which are correlated by the respective periodicity plots. When we apply AC bias current with very low frequency, the network shows small areas of local spirals which are soon dissipated by the inhomogeneous nodes nearby. Thus, we could show that the external bias current plays an important role in the collective performance of the Josephson junction devices. |
url |
http://dx.doi.org/10.1155/2021/8848914 |
work_keys_str_mv |
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