Complete Synchronization of Coupled Oscillators Based on the Contraction Theory
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866929479756021760 |
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| author | Zhang, Brian Y Asadi-Zeydabadi, Masoud Tagg, Randall |
| author_facet | Zhang, Brian Y Asadi-Zeydabadi, Masoud Tagg, Randall |
| contents | This paper studies contraction theory with the aim of exploring complete synchronization phenomenon in complex networks of coupled oscillators. We examine the conditions for complete synchronization in three network topologies: all-to-all, star, and ring. Specifically, we derive the conditions under which networks of linearly coupled (Duffing) van der Pol oscillators achieve complete synchronization. Additionally, by combining contraction theory with the trapping region method, we identify the conditions for complete synchronization of networks of linearly coupled Rayleigh van der Pol oscillators under specific initial conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_05912 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Complete Synchronization of Coupled Oscillators Based on the Contraction Theory Zhang, Brian Y Asadi-Zeydabadi, Masoud Tagg, Randall Adaptation and Self-Organizing Systems Dynamical Systems This paper studies contraction theory with the aim of exploring complete synchronization phenomenon in complex networks of coupled oscillators. We examine the conditions for complete synchronization in three network topologies: all-to-all, star, and ring. Specifically, we derive the conditions under which networks of linearly coupled (Duffing) van der Pol oscillators achieve complete synchronization. Additionally, by combining contraction theory with the trapping region method, we identify the conditions for complete synchronization of networks of linearly coupled Rayleigh van der Pol oscillators under specific initial conditions. |
| title | Complete Synchronization of Coupled Oscillators Based on the Contraction Theory |
| topic | Adaptation and Self-Organizing Systems Dynamical Systems |
| url | https://arxiv.org/abs/2112.05912 |