دورية أكاديمية
Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators.
| العنوان: | Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators. |
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| المؤلفون: | Jain PB; Department of Mathematics, Western University, London, Ontario N6A 3K7, Canada.; Western Institute for Neuroscience, Western University, London, Ontario N6A 3K7, Canada.; Western Academy for Advanced Research, Western University, London, Ontario N6A 3K7, Canada., Nguyen TT; Department of Mathematics, Western University, London, Ontario N6A 3K7, Canada.; Western Institute for Neuroscience, Western University, London, Ontario N6A 3K7, Canada.; Western Academy for Advanced Research, Western University, London, Ontario N6A 3K7, Canada., Mináč J; Department of Mathematics, Western University, London, Ontario N6A 3K7, Canada.; Western Institute for Neuroscience, Western University, London, Ontario N6A 3K7, Canada.; Western Academy for Advanced Research, Western University, London, Ontario N6A 3K7, Canada., Muller LE; Department of Mathematics, Western University, London, Ontario N6A 3K7, Canada.; Western Institute for Neuroscience, Western University, London, Ontario N6A 3K7, Canada.; Western Academy for Advanced Research, Western University, London, Ontario N6A 3K7, Canada., Budzinski RC; Department of Mathematics, Western University, London, Ontario N6A 3K7, Canada.; Western Institute for Neuroscience, Western University, London, Ontario N6A 3K7, Canada.; Western Academy for Advanced Research, Western University, London, Ontario N6A 3K7, Canada. |
| المصدر: | Chaos (Woodbury, N.Y.) [Chaos] 2023 Oct 01; Vol. 33 (10). |
| نوع المنشور: | Journal Article |
| اللغة: | English |
| بيانات الدورية: | Publisher: American Institute of Physics Country of Publication: United States NLM ID: 100971574 Publication Model: Print Cited Medium: Internet ISSN: 1089-7682 (Electronic) Linking ISSN: 10541500 NLM ISO Abbreviation: Chaos Subsets: PubMed not MEDLINE; MEDLINE |
| أسماء مطبوعة: | Publication: Melville, NY : American Institute of Physics Original Publication: Woodbury, NY : American Institute of Physics, 1991- |
| مستخلص: | Networks with different levels of interactions, including multilayer and multiplex networks, can display a rich diversity of dynamical behaviors and can be used to model and study a wide range of systems. Despite numerous efforts to investigate these networks, obtaining mathematical descriptions for the dynamics of multilayer and multiplex systems is still an open problem. Here, we combine ideas and concepts from linear algebra and graph theory with nonlinear dynamics to offer a novel approach to study multiplex networks of Kuramoto oscillators. Our approach allows us to study the dynamics of a large, multiplex network by decomposing it into two smaller systems: one representing the connection scheme within layers (intra-layer), and the other representing the connections between layers (inter-layer). Particularly, we use this approach to compose solutions for multiplex networks of Kuramoto oscillators. These solutions are given by a combination of solutions for the smaller systems given by the intra- and inter-layer systems, and in addition, our approach allows us to study the linear stability of these solutions. (© 2023 Author(s). Published under an exclusive license by AIP Publishing.) |
| تواريخ الأحداث: | Date Created: 20231016 Latest Revision: 20231030 |
| رمز التحديث: | 20231215 |
| DOI: | 10.1063/5.0161399 |
| PMID: | 37844292 |
| قاعدة البيانات: | MEDLINE |
Find this article in full text from Scitation. | تدمد: | 1089-7682 |
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| DOI: | 10.1063/5.0161399 |