Multivariable coupling and synchronization in complex networks
Synchronization in complex networks is an evergreen subject with numerous applications in biological, social, and technological systems. We here study whether a transition from a single variable to multivariable coupling facilitates the emergence of synchronization in a network of circulant oscillat...
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| Published in | Applied mathematics and computation Vol. 372; p. 124996 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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01.05.2020
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| Abstract | Synchronization in complex networks is an evergreen subject with numerous applications in biological, social, and technological systems. We here study whether a transition from a single variable to multivariable coupling facilitates the emergence of synchronization in a network of circulant oscillators. We show that the network indeed has much better synchronizability when individual dynamical units are coupled through multiple variables rather than through just one. In particular, we consider in detail four different coupling scenarios for a simple three-dimensional chaotic circulant system, and we determine the smallest coupling strength needed for complete synchronization. We find that the smallest coupling strength is needed when the coupling is through all three variables, and that for the same level of synchronization through a single variable a much stronger coupling strength is needed. Our results thus show that multivariable coupling provides a significantly more efficient synchronization profile in complex networks. |
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| AbstractList | Synchronization in complex networks is an evergreen subject with numerous applications in biological, social, and technological systems. We here study whether a transition from a single variable to multivariable coupling facilitates the emergence of synchronization in a network of circulant oscillators. We show that the network indeed has much better synchronizability when individual dynamical units are coupled through multiple variables rather than through just one. In particular, we consider in detail four different coupling scenarios for a simple three-dimensional chaotic circulant system, and we determine the smallest coupling strength needed for complete synchronization. We find that the smallest coupling strength is needed when the coupling is through all three variables, and that for the same level of synchronization through a single variable a much stronger coupling strength is needed. Our results thus show that multivariable coupling provides a significantly more efficient synchronization profile in complex networks. |
| ArticleNumber | 124996 |
| Author | Jalili, Mahdi Nazarimehr, Fahimeh Ferčec, Brigita Panahi, Shirin Perc, Matjaž Jafari, Sajad |
| Author_xml | – sequence: 1 givenname: Fahimeh surname: Nazarimehr fullname: Nazarimehr, Fahimeh organization: Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran – sequence: 2 givenname: Shirin surname: Panahi fullname: Panahi, Shirin organization: Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran – sequence: 3 givenname: Mahdi surname: Jalili fullname: Jalili, Mahdi organization: School of Engineering, RMIT University, Melbourne, Australia – sequence: 4 givenname: Matjaž orcidid: 0000-0002-3087-541X surname: Perc fullname: Perc, Matjaž email: matjaz.perc@um.si, matjaz.perc@uni-mb.si organization: Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, Maribor 2000, Slovenia – sequence: 5 givenname: Sajad surname: Jafari fullname: Jafari, Sajad organization: Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran – sequence: 6 givenname: Brigita surname: Ferčec fullname: Ferčec, Brigita organization: Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, Maribor 2000, Slovenia |
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